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1213011000131 = 717316733114827
BaseRepresentation
bin10001101001101101000…
…101101111101101000011
311021221222211012101210012
4101221231011233231003
5124333221304001011
62325125523255135
7153431354244020
oct21515505575503
94257884171705
101213011000131
114284870a5067
1217710ab1a4ab
138a50403b558
14429d2518547
15218470b1a8b
hex11a6d16fb43

1213011000131 has 64 divisors (see below), whose sum is σ = 1542559924224. Its totient is φ = 929981606400.

The previous prime is 1213011000107. The next prime is 1213011000239. The reversal of 1213011000131 is 1310001103121.

It is a happy number.

It is not a de Polignac number, because 1213011000131 - 210 = 1213010999107 is a prime.

It is a super-2 number, since 2×12130110001312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1213011002131) 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, 81803540 + ... + 81818366.

It is an arithmetic number, because the mean of its divisors is an integer number (24102498816).

Almost surely, 21213011000131 is an apocalyptic number.

1213011000131 is a deficient number, since it is larger than the sum of its proper divisors (329548924093).

1213011000131 is a wasteful number, since it uses less digits than its factorization.

1213011000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15280.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1213011000131 its reverse (1310001103121), we get a palindrome (2523012103252).

The spelling of 1213011000131 in words is "one trillion, two hundred thirteen billion, eleven million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 17 31 67 119 217 331 469 527 1139 2077 2317 3689 5627 7973 10261 14539 14827 22177 35309 39389 71827 103789 155239 174437 247163 252059 377009 459637 687487 993409 1221059 1764413 2639063 3217459 4812409 4907737 6953863 7813829 11687279 16887953 30795679 34354159 54696803 81810953 83431529 118215671 152139847 215569753 328818379 523526543 584020703 1064978929 2301728653 2586377399 3664685801 5589912443 10193369749 18104641793 39129387101 71353588243 173287285733 1213011000131