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10112313000 = 2335319177409
BaseRepresentation
bin10010110101011110…
…11010011010101000
3222002202002201121010
421122233122122220
5131202223004000
64351233543520
7505410146046
oct113257323250
928082081533
1010112313000
11431a156479
121b62714ba0
13c5205257a
146bd03b396
153e2b95d50
hex25abda6a8

10112313000 has 128 divisors (see below), whose sum is σ = 33211152000. Its totient is φ = 2554675200.

The previous prime is 10112312971. The next prime is 10112313007. The reversal of 10112313000 is 31321101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10112313007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31705 + ... + 145704.

It is an arithmetic number, because the mean of its divisors is an integer number (259462125).

Almost surely, 210112313000 is an apocalyptic number.

10112313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16605576000).

10112313000 is an abundant number, since it is smaller than the sum of its proper divisors (23098839000).

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

10112313000 is a wasteful number, since it uses less digits than its factorization.

10112313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177452 (or 177438 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10112313000 its reverse (31321101), we get a palindrome (10143634101).

The spelling of 10112313000 in words is "ten billion, one hundred twelve million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 177409 354818 532227 709636 887045 1064454 1419272 1774090 2128908 2661135 3370771 3548180 4257816 4435225 5322270 6741542 7096360 8870450 10112313 10644540 13305675 13483084 16853855 17740900 20224626 21289080 22176125 26611350 26966168 33707710 35481800 40449252 44352250 50561565 53222700 66528375 67415420 80898504 84269275 88704500 101123130 106445400 133056750 134830840 168538550 177409000 202246260 252807825 266113500 337077100 404492520 421346375 505615650 532227000 674154200 842692750 1011231300 1264039125 1685385500 2022462600 2528078250 3370771000 5056156500 10112313000