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10003101232131 = 3271257531262629
BaseRepresentation
bin1001000110010000011101…
…0010111010110000000011
31022102021202022202011112200
42101210013102322300003
52302342322403412011
633135210011124243
72051462113363350
oct221440722726003
938367668664480
1010003101232131
113207322957687
121156802443683
135773997c5317
1426821cd67627
1512530c331856
hex919074bac03

10003101232131 has 24 divisors (see below), whose sum is σ = 16513200394080. Its totient is φ = 5716007865216.

The previous prime is 10003101232097. The next prime is 10003101232151. The reversal of 10003101232131 is 13123210130001.

10003101232131 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 310 + 1 + 2 + 321 + 31 = 666.

It is not a de Polignac number, because 10003101232131 - 210 = 10003101231107 is a prime.

It is a super-2 number, since 2×100031012321312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10003101232151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7291125 + ... + 8553753.

It is an arithmetic number, because the mean of its divisors is an integer number (688050016420).

Almost surely, 210003101232131 is an apocalyptic number.

10003101232131 is a deficient number, since it is larger than the sum of its proper divisors (6510099161949).

10003101232131 is a wasteful number, since it uses less digits than its factorization.

10003101232131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388395 (or 1388392 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10003101232131 its reverse (13123210130001), we get a palindrome (23126311362132).

The spelling of 10003101232131 in words is "ten trillion, three billion, one hundred one million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 125753 377259 880271 1131777 1262629 2640813 3787887 7922439 8838403 11363661 26515209 79545627 158779384637 476338153911 1111455692459 1429014461733 3334367077377 10003101232131