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10131212233002 = 237435609752067
BaseRepresentation
bin1001001101101101101101…
…0011100110100100101010
31022212112102121012022111210
42103123123103212210222
52311442210312424002
633314114210333550
72063645612046540
oct223333323464452
938775377168453
1010131212233002
113256694204803
1211775b658a2b6
135864a5218593
142704d35cdd90
1512880940b96c
hex936db4e692a

10131212233002 has 32 divisors (see below), whose sum is σ = 23695592735232. Its totient is φ = 2827315041264.

The previous prime is 10131212232991. The next prime is 10131212233013. The reversal of 10131212233002 is 20033221213101.

It is an interprime number because it is at equal distance from previous prime (10131212232991) and next prime (10131212233013).

It is a super-2 number, since 2×101312122330022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10131212233002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2804874228 + ... + 2804877839.

It is an arithmetic number, because the mean of its divisors is an integer number (740487272976).

Almost surely, 210131212233002 is an apocalyptic number.

10131212233002 is an abundant number, since it is smaller than the sum of its proper divisors (13564380502230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131212233002 is a wasteful number, since it uses less digits than its factorization.

10131212233002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5609752122.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10131212233002 its reverse (20033221213101), we get a palindrome (30164433446103).

The spelling of 10131212233002 in words is "ten trillion, one hundred thirty-one billion, two hundred twelve million, two hundred thirty-three thousand, two".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1806 5609752067 11219504134 16829256201 33658512402 39268264469 78536528938 117804793407 235609586814 241219338881 482438677762 723658016643 1447316033286 1688535372167 3377070744334 5065606116501 10131212233002