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1013110103031 = 3131729283186191
BaseRepresentation
bin11101011111000100001…
…00010101101111110111
310120212000101101122220120
432233202010111233313
5113044322141244111
62053225533303023
7133123545534525
oct16574204255767
93525011348816
101013110103031
11360726272394
12144420634a73
13746c740a760
143706b673315
151b5476b6406
hexebe2115bf7

1013110103031 has 64 divisors (see below), whose sum is σ = 1599046686720. Its totient is φ = 564539996160.

The previous prime is 1013110103023. The next prime is 1013110103107. The reversal of 1013110103031 is 1303010113101.

It is not a de Polignac number, because 1013110103031 - 23 = 1013110103023 is a prime.

It is a super-2 number, since 2×10131101030312 (a number of 25 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 1013110103031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013110103231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5348146 + ... + 5534336.

It is an arithmetic number, because the mean of its divisors is an integer number (24985104480).

Almost surely, 21013110103031 is an apocalyptic number.

1013110103031 is a deficient number, since it is larger than the sum of its proper divisors (585936583689).

1013110103031 is a wasteful number, since it uses less digits than its factorization.

1013110103031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186536.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1013110103031 its reverse (1303010113101), we get a palindrome (2316120216132).

The spelling of 1013110103031 in words is "one trillion, thirteen billion, one hundred ten million, one hundred three thousand, thirty-one".

Divisors: 1 3 13 17 29 39 51 87 221 283 377 493 663 849 1131 1479 3679 4811 6409 8207 11037 14433 19227 24621 62543 106691 139519 186191 187629 320073 418557 558573 1813747 2420483 3165247 5399539 5441241 7261449 9495741 16198617 41148211 52692053 70194007 91792163 123444633 158076159 210582021 275376489 684996689 895764901 1193298119 1528069537 2054990067 2687294703 3579894357 4584208611 11644943713 19864903981 25977182129 34934831139 59594711943 77931546387 337703367677 1013110103031