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1135102022131 = 711296122337369
BaseRepresentation
bin10000100001001001010…
…110100101000111110011
311000111220012201020201111
4100201021112211013303
5122044142104202011
62225243023414151
7145002612664330
oct20411126450763
94014805636644
101135102022131
113a8437554840
12163ba7454357
138306919cc7c
143cd2136d987
151e7d7485121
hex108495a51f3

1135102022131 has 64 divisors (see below), whose sum is σ = 1494704332800. Its totient is φ = 836206156800.

The previous prime is 1135102022107. The next prime is 1135102022143. The reversal of 1135102022131 is 1312202015311.

It is not a de Polignac number, because 1135102022131 - 227 = 1134967804403 is a prime.

It is a super-2 number, since 2×11351020221312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1135102022101) 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, 30356815 + ... + 30394183.

It is an arithmetic number, because the mean of its divisors is an integer number (23354755200).

Almost surely, 21135102022131 is an apocalyptic number.

1135102022131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1135102022131 is a deficient number, since it is larger than the sum of its proper divisors (359602310669).

1135102022131 is a wasteful number, since it uses less digits than its factorization.

1135102022131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37700.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 1135102022131 its reverse (1312202015311), we get a palindrome (2447304037442).

The spelling of 1135102022131 in words is "one trillion, one hundred thirty-five billion, one hundred two million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 7 11 29 61 77 203 223 319 427 671 1561 1769 2233 2453 4697 6467 12383 13603 17171 19459 37369 45269 71137 95221 136213 149633 261583 394487 411059 497959 1047431 1083701 2279509 2761409 2877413 4339357 7585907 8333287 11920711 15956563 25074599 30375499 58333009 66105761 83444977 91666157 175522193 241665323 462740327 508330507 641663099 727163371 1691657261 2658318553 3558313549 5090143597 5591635577 14741584703 18608229871 39141449039 103191092921 162157431733 1135102022131