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131303021333232 = 24371920567515873
BaseRepresentation
bin11101110110101101011101…
…111100011100101011110000
3122012220110001022112101000210
4131312231131330130223300
5114202232041430130412
61143131435243144120
736441221162246640
oct3566553574345360
9565813038471023
10131303021333232
1138923331530831
12128874a4215040
135835a8b5c3068
14245d158b04520
15102a75d87883c
hex776b5df1caf0

131303021333232 has 80 divisors (see below), whose sum is σ = 408059514940160. Its totient is φ = 35540667426816.

The previous prime is 131303021333153. The next prime is 131303021333257. The reversal of 131303021333232 is 232333120303131.

It is a super-2 number, since 2×1313030213332322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131303021333232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10283751553 + ... + 10283764320.

It is an arithmetic number, because the mean of its divisors is an integer number (5100743936752).

Almost surely, 2131303021333232 is an apocalyptic number.

131303021333232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131303021333232 is an abundant number, since it is smaller than the sum of its proper divisors (276756493606928).

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

131303021333232 is a wasteful number, since it uses less digits than its factorization.

131303021333232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20567515910 (or 20567515904 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 131303021333232 its reverse (232333120303131), we get a palindrome (363636141636363).

The spelling of 131303021333232 in words is "one hundred thirty-one trillion, three hundred three billion, twenty-one million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 20567515873 41135031746 61702547619 82270063492 123405095238 143972611111 164540126984 246810190476 287945222222 329080253968 390782801587 431917833333 493620380952 575890444444 781565603174 863835666666 987240761904 1151780888888 1172348404761 1563131206348 1727671333332 2303561777776 2344696809522 2735479611109 3126262412696 3455342666664 4689393619044 5470959222218 6252524825392 6910685333328 8206438833327 9378787238088 10941918444436 16412877666654 18757574476176 21883836888872 32825755333308 43767673777744 65651510666616 131303021333232