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10120031130 = 23511233131617
BaseRepresentation
bin10010110110011001…
…10110101110011010
3222010021121211212210
421123030312232122
5131211211444010
64352111215550
7505532562636
oct113314665632
928107554783
1010120031130
1143235481a0
121b652175b6
13c53825601
146c0089dc6
153e36bcb20
hex25b336b9a

10120031130 has 64 divisors (see below), whose sum is σ = 26610000768. Its totient is φ = 2442792960.

The previous prime is 10120031111. The next prime is 10120031143. The reversal of 10120031130 is 3113002101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11082 + ... + 142698.

It is an arithmetic number, because the mean of its divisors is an integer number (415781262).

Almost surely, 210120031130 is an apocalyptic number.

10120031130 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 10120031130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305000384).

10120031130 is an abundant number, since it is smaller than the sum of its proper divisors (16489969638).

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

10120031130 is a wasteful number, since it uses less digits than its factorization.

10120031130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131871.

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

Adding to 10120031130 its reverse (3113002101), we get a palindrome (13233033231).

The spelling of 10120031130 in words is "ten billion, one hundred twenty million, thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 233 330 466 699 1165 1398 2330 2563 3495 5126 6990 7689 12815 15378 25630 38445 76890 131617 263234 394851 658085 789702 1316170 1447787 1974255 2895574 3948510 4343361 7238935 8686722 14477870 21716805 30666761 43433610 61333522 92000283 153333805 184000566 306667610 337334371 460001415 674668742 920002830 1012003113 1686671855 2024006226 3373343710 5060015565 10120031130