Search a number
-
+
10120100120 = 2351319461731
BaseRepresentation
bin10010110110011010…
…00111100100011000
3222010021202100111222
421123031013210120
5131211221200440
64352112511212
7505533301034
oct113315074430
928107670458
1010120100120
114323595009
121b6524b508
13c5384ab30
146c00a71c4
153e36d32b5
hex25b347918

10120100120 has 32 divisors (see below), whose sum is σ = 24521782320. Its totient is φ = 3736652160.

The previous prime is 10120100099. The next prime is 10120100147. The reversal of 10120100120 is 2100102101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10120100098 and 10120100107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9730346 + ... + 9731385.

Almost surely, 210120100120 is an apocalyptic number.

10120100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120100120 is an abundant number, since it is smaller than the sum of its proper divisors (14401682200).

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

10120100120 is a wasteful number, since it uses less digits than its factorization.

10120100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19461755 (or 19461751 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120100120 its reverse (2100102101), we get a palindrome (12220202221).

The spelling of 10120100120 in words is "ten billion, one hundred twenty million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 19461731 38923462 77846924 97308655 155693848 194617310 253002503 389234620 506005006 778469240 1012010012 1265012515 2024020024 2530025030 5060050060 10120100120