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101142423041231 = 11131750773819437
BaseRepresentation
bin10110111111110100001110…
…001100100111010011001111
3111021010010021100211002012202
4112333310032030213103033
5101224104140244304411
6555040104313152115
730206204346600605
oct2677641614472317
9437103240732182
10101142423041231
112a255296035a20
12b4160b49bb63b
1344588c6c98b80
141ad94685c3875
15ba5e2e83083b
hex5bfd0e3274cf

101142423041231 has 32 divisors (see below), whose sum is σ = 125816982516288. Its totient is φ = 79880456816640.

The previous prime is 101142423041213. The next prime is 101142423041239. The reversal of 101142423041231 is 132140324241101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101142423041231 is a prime.

It is a super-2 number, since 2×1011424230412312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101142423041194 and 101142423041203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101142423041239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123019445 + ... + 123838881.

It is an arithmetic number, because the mean of its divisors is an integer number (3931780703634).

Almost surely, 2101142423041231 is an apocalyptic number.

101142423041231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101142423041231 is a deficient number, since it is larger than the sum of its proper divisors (24674559475057).

101142423041231 is a wasteful number, since it uses less digits than its factorization.

101142423041231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870251.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 101142423041231 its reverse (132140324241101), we get a palindrome (233282747282332).

The spelling of 101142423041231 in words is "one hundred one trillion, one hundred forty-two billion, four hundred twenty-three million, forty-one thousand, two hundred thirty-one".

Divisors: 1 11 13 17 143 187 221 2431 50773 558503 660049 819437 863141 7260539 9013807 9494551 10652681 11220833 13930429 117179491 123429163 153234719 181095577 1992051347 41605274801 457658022811 540868572413 707289671617 5949554296543 7780186387787 9194765731021 101142423041231