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1020100030131 = 3713223160710427
BaseRepresentation
bin11101101100000101011…
…00110010111010110011
310121112001112011202021110
432312002230302322303
5113203131101431011
62100343311524403
7133462013121660
oct16660254627263
93545045152243
101020100030131
11363692967046
12145851529703
137526c5c78b0
1437531b2aa67
151b806190ba6
hexed82b32eb3

1020100030131 has 64 divisors (see below), whose sum is σ = 1682724814848. Its totient is φ = 535277179008.

The previous prime is 1020100030109. The next prime is 1020100030139. The reversal of 1020100030131 is 1310300010201.

It is not a de Polignac number, because 1020100030131 - 211 = 1020100028083 is a prime.

It is a super-2 number, since 2×10201000301312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020100030139) 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, 97827340 + ... + 97837766.

It is an arithmetic number, because the mean of its divisors is an integer number (26292575232).

Almost surely, 21020100030131 is an apocalyptic number.

1020100030131 is a deficient number, since it is larger than the sum of its proper divisors (662624784717).

1020100030131 is a wasteful number, since it uses less digits than its factorization.

1020100030131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12280.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1020100030131 its reverse (1310300010201), we get a palindrome (2330400040332).

The spelling of 1020100030131 in words is "one trillion, twenty billion, one hundred million, thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 223 273 669 1561 1607 2899 4683 4821 8697 10427 11249 20293 20891 31281 33747 60879 62673 72989 135551 146237 218967 358361 406653 438711 948857 1075083 2325221 2508527 2846571 4658693 6975663 7525581 13976079 16276547 16756189 30227873 32610851 48829641 50268567 90683619 97832553 117293323 211595111 217830457 351879969 634785333 653491371 1524813199 3736630147 4574439597 11209890441 26156411029 48576191911 78469233087 145728575733 340033343377 1020100030131