Search a number
-
+
35023111132053 = 31141271363726263
BaseRepresentation
bin1111111011010011101000…
…00110010001001110010101
311121000011202211111001000010
413331221310012101032111
514042304312422211203
6202253221203310433
710243223225466162
oct775516406211625
9147004684431003
1035023111132053
1110183244202150
123b1786907b419
131670885603085
148911b02ad069
1540b07145d303
hex1fda74191395

35023111132053 has 64 divisors (see below), whose sum is σ = 52394173784064. Its totient is φ = 20625544512000.

The previous prime is 35023111132027. The next prime is 35023111132063.

35023111132053 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 35023111132053 - 26 = 35023111131989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 35023111132053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35023111132063) 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, 1333540200 + ... + 1333566462.

It is an arithmetic number, because the mean of its divisors is an integer number (818658965376).

Almost surely, 235023111132053 is an apocalyptic number.

35023111132053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35023111132053 is a deficient number, since it is larger than the sum of its proper divisors (17371062652011).

35023111132053 is a wasteful number, since it uses less digits than its factorization.

35023111132053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30226.

The product of its (nonzero) digits is 8100, while the sum is 30.

It can be divided in two parts, 3502311 and 1132053, that added together give a palindrome (4634364).

The spelling of 35023111132053 in words is "thirty-five trillion, twenty-three billion, one hundred eleven million, one hundred thirty-two thousand, fifty-three".

Divisors: 1 3 11 33 41 123 271 451 813 1353 2981 3637 8943 10911 11111 26263 33333 40007 78789 120021 122221 149117 288893 366663 447351 866679 985627 1076783 1640287 2956881 3230349 4920861 7117273 10841897 11844613 21351819 32525691 35533839 40410707 78290003 95518531 121232121 234870009 286555593 291808193 444517777 875424579 1050703841 1333553331 3152111523 3209890123 3916259771 9629670369 11748779313 25885521901 43078857481 77656565703 129236572443 284740740911 854222222733 1061306397941 3183919193823 11674370377351 35023111132053