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10120131210 = 2357213152553
BaseRepresentation
bin10010110110011010…
…01111001010001010
3222010021210221011110
421123031033022022
5131211223144320
64352113311150
7505533460500
oct113315171212
928107727143
1010120131210
114323606402
121b652654b6
13c5385c027
146c00b4670
153e36dc5e0
hex25b34f28a

10120131210 has 96 divisors (see below), whose sum is σ = 28469973312. Its totient is φ = 2295471360.

The previous prime is 10120131193. The next prime is 10120131299. The reversal of 10120131210 is 1213102101.

10120131210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 166294 + ... + 218846.

It is an arithmetic number, because the mean of its divisors is an integer number (296562222).

Almost surely, 210120131210 is an apocalyptic number.

10120131210 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 10120131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234986656).

10120131210 is an abundant number, since it is smaller than the sum of its proper divisors (18349842102).

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

10120131210 is a wasteful number, since it uses less digits than its factorization.

10120131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52708 (or 52701 counting only the distinct ones).

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

Adding to 10120131210 its reverse (1213102101), we get a palindrome (11333233311).

The spelling of 10120131210 in words is "ten billion, one hundred twenty million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 131 147 210 245 262 294 393 490 655 735 786 917 1310 1470 1834 1965 2751 3930 4585 5502 6419 9170 12838 13755 19257 27510 32095 38514 52553 64190 96285 105106 157659 192570 262765 315318 367871 525530 735742 788295 1103613 1576590 1839355 2207226 2575097 3678710 5150194 5518065 6884443 7725291 11036130 12875485 13768886 15450582 20653329 25750970 34422215 38626455 41306658 48191101 68844430 77252910 96382202 103266645 144573303 206533290 240955505 289146606 337337707 481911010 674675414 722866515 1012013121 1445733030 1686688535 2024026242 3373377070 5060065605 10120131210