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1256113100 = 2252112103811
BaseRepresentation
bin100101011011110…
…1100001111001100
310020112121011020102
41022313230033030
510033031104400
6324350510232
743061533214
oct11267541714
93215534212
101256113100
11595052400
122b0805378
131703101b8
14bcb79244
15754219d5
hex4adec3cc

1256113100 has 54 divisors (see below), whose sum is σ = 2996118132. Its totient is φ = 456764000.

The previous prime is 1256113097. The next prime is 1256113109. The reversal of 1256113100 is 13116521.

It is a super-2 number, since 2×12561131002 = 3155640239983220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1256113109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39806 + ... + 64005.

Almost surely, 21256113100 is an apocalyptic number.

1256113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1256113100 is an abundant number, since it is smaller than the sum of its proper divisors (1740005032).

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

1256113100 is a wasteful number, since it uses less digits than its factorization.

1256113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103847 (or 103829 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1256113100 is about 35441.6859079813. The cubic root of 1256113100 is about 1078.9705267747.

Adding to 1256113100 its reverse (13116521), we get a palindrome (1269229621).

The spelling of 1256113100 in words is "one billion, two hundred fifty-six million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 103811 207622 415244 519055 1038110 1141921 2076220 2283842 2595275 4567684 5190550 5709605 10381100 11419210 12561131 22838420 25122262 28548025 50244524 57096050 62805655 114192100 125611310 251222620 314028275 628056550 1256113100