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10131131001401 = 431693209966301
BaseRepresentation
bin1001001101101101011001…
…1101101110101000111001
31022212112012221100022200222
42103123112131232220321
52311442024014021101
633314102145305425
72063643604433654
oct223332635565071
938775187308628
1010131131001401
113256652372253
121177593335275
13586491446747
142704c68c689b
1512880221301b
hex936d676ea39

10131131001401 has 16 divisors (see below), whose sum is σ = 10377960331200. Its totient is φ = 9884817633600.

The previous prime is 10131131001367. The next prime is 10131131001419. The reversal of 10131131001401 is 10410013113101.

It is a cyclic number.

It is not a de Polignac number, because 10131131001401 - 210 = 10131131000377 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10131131001401.

It is not an unprimeable number, because it can be changed into a prime (10131131001461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152771951 + ... + 152838251.

It is an arithmetic number, because the mean of its divisors is an integer number (648622520700).

Almost surely, 210131131001401 is an apocalyptic number.

It is an amenable number.

10131131001401 is a deficient number, since it is larger than the sum of its proper divisors (246829329799).

10131131001401 is a wasteful number, since it uses less digits than its factorization.

10131131001401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70136.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10131131001401 its reverse (10410013113101), we get a palindrome (20541144114502).

The spelling of 10131131001401 in words is "ten trillion, one hundred thirty-one billion, one hundred thirty-one million, one thousand, four hundred one".

Divisors: 1 43 1693 2099 66301 72799 90257 2850943 3553607 112247593 139165799 152805101 4826646499 5984129357 235607697707 10131131001401