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101032131131214 = 23617312832947331
BaseRepresentation
bin10110111110001101100000…
…010010010111011101001110
3111020201120120221010112120120
4112332031200102113131032
5101220302301032144324
6554513304214525410
730165221252043543
oct2676154022273516
9436646527115516
10101032131131214
112a212539137568
12b3b8854366866
13444b39b17455a
141ad3da4734bca
15ba3126cc6179
hex5be36049774e

101032131131214 has 64 divisors (see below), whose sum is σ = 208352510800128. Its totient is φ = 32646041798400.

The previous prime is 101032131131203. The next prime is 101032131131219. The reversal of 101032131131214 is 412131131230101.

It is a super-2 number, since 2×1010321311312142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032131131219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32805529 + ... + 35752859.

It is an arithmetic number, because the mean of its divisors is an integer number (3255507981252).

Almost surely, 2101032131131214 is an apocalyptic number.

101032131131214 is an abundant number, since it is smaller than the sum of its proper divisors (107320379668914).

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

101032131131214 is a wasteful number, since it uses less digits than its factorization.

101032131131214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948753.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 101032131131214 its reverse (412131131230101), we get a palindrome (513163262361315).

The spelling of 101032131131214 in words is "one hundred one trillion, thirty-two billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 61 73 122 146 183 219 366 438 1283 2566 3849 4453 7698 8906 13359 26718 78263 93659 156526 187318 234789 280977 469578 561954 2947331 5713199 5894662 8841993 11426398 17139597 17683986 34279194 179787191 215155163 359574382 430310326 539361573 645465489 1078723146 1290930978 3781425673 7562851346 11344277019 13124464943 22688554038 26248929886 39373394829 78746789658 230666966053 276044074129 461333932106 552088148258 692000898159 828132222387 1384001796318 1656264444774 16838688521869 33677377043738 50516065565607 101032131131214