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10056376110 = 23511298911807
BaseRepresentation
bin10010101110110100…
…00001111100101110
3221221211211211121110
421113122001330232
5131043413013420
64341515012450
7504130533534
oct112732017456
927854754543
1010056376110
1142a0620240
121b47a3a126
13c43598b11
146b583a154
153dcce6ee0
hex257681f2e

10056376110 has 128 divisors (see below), whose sum is σ = 27545702400. Its totient is φ = 2327198720.

The previous prime is 10056376097. The next prime is 10056376123. The reversal of 10056376110 is 1167365001.

It is an interprime number because it is at equal distance from previous prime (10056376097) and next prime (10056376123).

It is a super-2 number, since 2×100563761102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 845827 + ... + 857633.

It is an arithmetic number, because the mean of its divisors is an integer number (215200800).

Almost surely, 210056376110 is an apocalyptic number.

10056376110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10056376110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13772851200).

10056376110 is an abundant number, since it is smaller than the sum of its proper divisors (17489326290).

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

10056376110 is a wasteful number, since it uses less digits than its factorization.

10056376110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11946.

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 10056376110 in words is "ten billion, fifty-six million, three hundred seventy-six thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 89 110 145 165 174 178 267 290 319 330 435 445 534 638 870 890 957 979 1335 1595 1914 1958 2581 2670 2937 3190 4785 4895 5162 5874 7743 9570 9790 11807 12905 14685 15486 23614 25810 28391 29370 35421 38715 56782 59035 70842 77430 85173 118070 129877 141955 170346 177105 259754 283910 342403 354210 389631 425865 649385 684806 779262 851730 1027209 1050823 1298770 1712015 1948155 2054418 2101646 3152469 3424030 3766433 3896310 5136045 5254115 6304938 7532866 10272090 10508230 11299299 11559053 15762345 18832165 22598598 23118106 30473867 31524690 34677159 37664330 56496495 57795265 60947734 69354318 91421601 112992990 115590530 152369335 173385795 182843202 304738670 335212537 346771590 457108005 670425074 914216010 1005637611 1676062685 2011275222 3352125370 5028188055 10056376110