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1256106107200 = 26527112152331
BaseRepresentation
bin10010010001110101110…
…000100010000101000000
311110002020012020122222211
4102101311300202011000
5131040001130412300
62401014105111504
7156515323513420
oct22216560420500
94402205218884
101256106107200
1144479117292a
12183537488594
13915b13c49c9
1444b1dba8480
1522a1a6774ba
hex12475c22140

1256106107200 has 84 divisors (see below), whose sum is σ = 3532349848672. Its totient is φ = 430664947200.

The previous prime is 1256106107189. The next prime is 1256106107203. The reversal of 1256106107200 is 27016016521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256106107203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56064966 + ... + 56087365.

Almost surely, 21256106107200 is an apocalyptic number.

1256106107200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1256106107200 is an abundant number, since it is smaller than the sum of its proper divisors (2276243741472).

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

1256106107200 is a wasteful number, since it uses less digits than its factorization.

1256106107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112152360 (or 112152345 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 1256106107200 in words is "one trillion, two hundred fifty-six billion, one hundred six million, one hundred seven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 112152331 224304662 448609324 560761655 785066317 897218648 1121523310 1570132634 1794437296 2243046620 2803808275 3140265268 3588874592 3925331585 4486093240 5607616550 6280530536 7177749184 7850663170 8972186480 11215233100 12561061072 15701326340 17944372960 19626657925 22430466200 25122122144 31402652680 35888745920 39253315850 44860932400 50244244288 62805305360 78506631700 89721864800 125610610720 157013263400 179443729600 251221221440 314026526800 628053053600 1256106107200