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131121212233302 = 23437127271635599
BaseRepresentation
bin11101110100000100001001…
…010001110001011001010110
3122012021001202201122011020000
4131310010021101301121112
5114141242220312431202
61142512130415152130
736422123605352004
oct3564041121613126
9565231681564200
10131121212233302
1138863214a8a045
1212858204815646
1358218a5c237a5
14245442c943a74
151025b6c41a91c
hex774109471656

131121212233302 has 160 divisors (see below), whose sum is σ = 305248110182400. Its totient is φ = 42035197458240.

The previous prime is 131121212233301. The next prime is 131121212233309. The reversal of 131121212233302 is 203332212121131.

131121212233302 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 121 + 2 + 233 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121212233301) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 205977699 + ... + 206613297.

It is an arithmetic number, because the mean of its divisors is an integer number (1907800688640).

Almost surely, 2131121212233302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131121212233302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152624055091200).

131121212233302 is an abundant number, since it is smaller than the sum of its proper divisors (174126897949098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131121212233302 is a wasteful number, since it uses less digits than its factorization.

131121212233302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636048 (or 636039 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131121212233302 its reverse (203332212121131), we get a palindrome (334453424354433).

The spelling of 131121212233302 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, two hundred twelve million, two hundred thirty-three thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 127 162 222 254 271 333 381 542 666 762 813 999 1143 1626 1998 2286 2439 2997 3429 4699 4878 5994 6858 7317 9398 10027 10287 14097 14634 20054 20574 21951 28194 30081 34417 42291 43902 60162 68834 84582 90243 103251 126873 180486 206502 253746 270729 309753 380619 541458 619506 635599 761238 812187 929259 1271198 1273429 1624374 1858518 1906797 2546858 2787777 3813594 3820287 5575554 5720391 7640574 11440782 11460861 17161173 22921722 23517163 34322346 34382583 47034326 51483519 68765166 70551489 80721073 102967038 103147749 141102978 161442146 172247329 206295498 211654467 242163219 344494658 423308934 484326438 516741987 634963401 726489657 1033483974 1269926802 1452979314 1550225961 1904890203 2179468971 2986679701 3100451922 3809780406 4358937942 4650677883 5973359402 6373151173 6538406913 8960039103 9301355766 12746302346 13076813826 13952033649 17920078206 19119453519 21875410783 26880117309 27904067298 38238907038 43750821566 53760234618 57358360557 65626232349 80640351927 114716721114 131252464698 161280703854 172075081671 196878697047 241921055781 344150163342 393757394094 483842111562 516225245013 590636091141 809390198971 1032450490026 1181272182282 1618780397942 1771908273423 2428170596913 3543816546846 4856341193826 7284511790739 14569023581478 21853535372217 43707070744434 65560606116651 131121212233302