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10011234120 = 2335479174169
BaseRepresentation
bin10010101001011011…
…10100111101001000
3221211200220101102220
421110231310331020
5131000333442440
64333223254040
7503042041326
oct112455647510
927750811386
1010011234120
114278098408
121b348aa320
13c37121994
146ad848d16
153d8d7b8d0
hex254b74f48

10011234120 has 64 divisors (see below), whose sum is σ = 30096576000. Its totient is φ = 2664073728.

The previous prime is 10011234109. The next prime is 10011234137. The reversal of 10011234120 is 2143211001.

10011234120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10011234120.

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 15 ways as a sum of consecutive naturals, for example, 29605 + ... + 144564.

It is an arithmetic number, because the mean of its divisors is an integer number (470259000).

Almost surely, 210011234120 is an apocalyptic number.

10011234120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011234120 is an abundant number, since it is smaller than the sum of its proper divisors (20085341880).

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

10011234120 is a wasteful number, since it uses less digits than its factorization.

10011234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174662 (or 174658 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10011234120 its reverse (2143211001), we get a palindrome (12154445121).

The spelling of 10011234120 in words is "ten billion, eleven million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 479 958 1437 1916 2395 2874 3832 4790 5748 7185 9580 11496 14370 19160 28740 57480 174169 348338 522507 696676 870845 1045014 1393352 1741690 2090028 2612535 3483380 4180056 5225070 6966760 10450140 20900280 83426951 166853902 250280853 333707804 417134755 500561706 667415608 834269510 1001123412 1251404265 1668539020 2002246824 2502808530 3337078040 5005617060 10011234120