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1031130022131 = 32111491813791019
BaseRepresentation
bin11110000000101000010…
…00111000000011110011
310122120112020001101210200
433000110020320003303
5113343223241202011
62105410010530243
7134332235401026
oct17002410700363
93576466041720
101031130022131
1136833301a310
12147a0b436983
13763097c3691
1437c9a9a71bd
151bc4e6a6856
hexf0142380f3

1031130022131 has 96 divisors (see below), whose sum is σ = 1650710880000. Its totient is φ = 615070713600.

The previous prime is 1031130022103. The next prime is 1031130022147. The reversal of 1031130022131 is 1312200311301.

1031130022131 is a `hidden beast` number, since 1 + 0 + 311 + 300 + 2 + 21 + 31 = 666.

It is not a de Polignac number, because 1031130022131 - 29 = 1031130021619 is a prime.

It is a super-2 number, since 2×10311300221312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1031130022171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1011903340 + ... + 1011904358.

It is an arithmetic number, because the mean of its divisors is an integer number (17194905000).

Almost surely, 21031130022131 is an apocalyptic number.

1031130022131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1031130022131 is a deficient number, since it is larger than the sum of its proper divisors (619580857869).

1031130022131 is a wasteful number, since it uses less digits than its factorization.

1031130022131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1031130022131 its reverse (1312200311301), we get a palindrome (2343330333432).

The spelling of 1031130022131 in words is "one trillion, thirty-one billion, one hundred thirty million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 149 181 379 447 543 1019 1137 1341 1629 1639 1991 3057 3411 4169 4917 5973 9171 11209 12507 14751 17919 26969 33627 37521 56471 68599 80907 100881 151831 169413 184439 205797 242721 296659 386201 455493 508239 553317 617391 621181 754589 889977 1158603 1366479 1659951 1670141 1863543 2028829 2263767 2669931 3475809 4248211 5010423 5590629 6086487 6791301 10221251 12744633 15031269 18259461 27481411 30663753 38233899 57543949 69902381 82444233 91991259 112433761 172631847 209707143 247332699 302295521 337301283 517895541 629121429 632983439 768926191 906886563 1011903849 1898950317 2306778573 2720659689 5696850951 6920335719 10415454769 31246364307 93739092921 114570002459 343710007377 1031130022131