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101343135231 = 33135320692633
BaseRepresentation
bin101111001100010000…
…1011000010111111111
3100200120202222200102000
41132120201120113333
53130022320311411
6114320103033343
710215243302442
oct1363041302777
9320522880360
10101343135231
1139a85615518
121778373b853
139730b6b310
144c955ad659
1529820ea956
hex17988585ff

101343135231 has 64 divisors (see below), whose sum is σ = 164879971200. Its totient is φ = 61135506432.

The previous prime is 101343135227. The next prime is 101343135331. The reversal of 101343135231 is 132531343101.

101343135231 is a `hidden beast` number, since 1 + 0 + 134 + 3 + 1 + 3 + 523 + 1 = 666.

It is not a de Polignac number, because 101343135231 - 22 = 101343135227 is a prime.

It is a super-2 number, since 2×1013431352312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101343135195 and 101343135204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101343135331) 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, 38488291 + ... + 38490923.

It is an arithmetic number, because the mean of its divisors is an integer number (2576249550).

Almost surely, 2101343135231 is an apocalyptic number.

101343135231 is a deficient number, since it is larger than the sum of its proper divisors (63536835969).

101343135231 is a wasteful number, since it uses less digits than its factorization.

101343135231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 101343135231 its reverse (132531343101), we get a palindrome (233874478332).

The spelling of 101343135231 in words is "one hundred one billion, three hundred forty-three million, one hundred thirty-five thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 39 53 117 159 351 477 689 1431 2067 2069 2633 6201 6207 7899 18603 18621 23697 26897 34229 55863 71091 80691 102687 109657 139549 242073 308061 328971 418647 726219 924183 986913 1255941 1425541 1814137 2960739 3767823 4276623 5442411 5447677 12829869 16327233 16343031 38489607 48981699 49029093 70819801 147087279 212459403 288726881 637378209 866180643 1912134627 2598541929 3753449453 7795625787 11260348359 33781045077 101343135231