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131022101310 = 23517676337987
BaseRepresentation
bin111101000000110000…
…1101001101100111110
3110112012011012101000220
41322001201221230332
54121313124220220
6140105110202210
712315564325362
oct1720141515476
9415164171026
10131022101310
1150625618a61
1221487053366
13c48087c6c9
1464ad12b2a2
15361c95d540
hex1e81869b3e

131022101310 has 64 divisors (see below), whose sum is σ = 333008278272. Its totient is φ = 32878250496.

The previous prime is 131022101219. The next prime is 131022101341. The reversal of 131022101310 is 13101220131.

It is a happy number.

It is a super-2 number, since 2×1310221013102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131022101310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3430137 + ... + 3468123.

It is an arithmetic number, because the mean of its divisors is an integer number (5203254348).

Almost surely, 2131022101310 is an apocalyptic number.

131022101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131022101310 is an abundant number, since it is smaller than the sum of its proper divisors (201986176962).

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

131022101310 is a wasteful number, since it uses less digits than its factorization.

131022101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44777.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131022101310 its reverse (13101220131), we get a palindrome (144123321441).

The spelling of 131022101310 in words is "one hundred thirty-one billion, twenty-two million, one hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 6763 13526 20289 33815 37987 40578 67630 75974 101445 113961 114971 189935 202890 227922 229942 344913 379870 569805 574855 645779 689826 1139610 1149710 1291558 1724565 1937337 3228895 3449130 3874674 6457790 9686685 19373370 256906081 513812162 770718243 1284530405 1541436486 2569060810 3853591215 4367403377 7707182430 8734806754 13102210131 21837016885 26204420262 43674033770 65511050655 131022101310