Search a number
-
+
10107149328 = 243323396179
BaseRepresentation
bin10010110100110111…
…01101110000010000
3222002101101101101000
421122123231300100
5131144412234303
64350531142000
7505315231443
oct113233556020
928071341330
1010107149328
114317249981
121b60a44900
13c50c65143
146bc49565a
153e24c5da3
hex25a6edc10

10107149328 has 40 divisors (see below), whose sum is σ = 29011263200. Its totient is φ = 3369049632.

The previous prime is 10107149293. The next prime is 10107149341. The reversal of 10107149328 is 82394170101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10107149292 and 10107149301.

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, 11697658 + ... + 11698521.

It is an arithmetic number, because the mean of its divisors is an integer number (725281580).

Almost surely, 210107149328 is an apocalyptic number.

10107149328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10107149328 is an abundant number, since it is smaller than the sum of its proper divisors (18904113872).

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

10107149328 is a wasteful number, since it uses less digits than its factorization.

10107149328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23396196 (or 23396184 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10107149328 in words is "ten billion, one hundred seven million, one hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 23396179 46792358 70188537 93584716 140377074 187169432 210565611 280754148 374338864 421131222 561508296 631696833 842262444 1123016592 1263393666 1684524888 2526787332 3369049776 5053574664 10107149328