Search a number
-
+
10120223412 = 22321321624409
BaseRepresentation
bin10010110110011011…
…00101101010110100
3222010021222121122100
421123031211222310
5131211234122122
64352115302100
7505534323345
oct113315455264
928107877570
1010120223412
114323669702
121b652aa930
13c53891ca0
146c00da0cc
153e3709aac
hex25b365ab4

10120223412 has 36 divisors (see below), whose sum is σ = 27549498340. Its totient is φ = 3113914752.

The previous prime is 10120223401. The next prime is 10120223453. The reversal of 10120223412 is 21432202101.

It is a happy number.

10120223412 is a `hidden beast` number, since 10 + 1 + 20 + 223 + 412 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4250518416 + 5869704996 = 65196^2 + 76614^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10811737 + ... + 10812672.

Almost surely, 210120223412 is an apocalyptic number.

10120223412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120223412 is an abundant number, since it is smaller than the sum of its proper divisors (17429274928).

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

10120223412 is a wasteful number, since it uses less digits than its factorization.

10120223412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21624432 (or 21624427 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10120223412 its reverse (21432202101), we get a palindrome (31552425513).

The spelling of 10120223412 in words is "ten billion, one hundred twenty million, two hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 21624409 43248818 64873227 86497636 129746454 194619681 259492908 281117317 389239362 562234634 778478724 843351951 1124469268 1686703902 2530055853 3373407804 5060111706 10120223412