Search a number
-
+
10012100120 = 2351125039091
BaseRepresentation
bin10010101001100010…
…01000011000011000
3221211202112101100222
421110301020120120
5131001044200440
64333254015212
7503052306161
oct112461103030
927752471328
1010012100120
11427862a010
121b35047508
13c37365bc9
146ad9d2768
153d8e9d2b5
hex254c48618

10012100120 has 64 divisors (see below), whose sum is σ = 24587677440. Its totient is φ = 3638908800.

The previous prime is 10012100117. The next prime is 10012100143. The reversal of 10012100120 is 2100121001.

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 = 10012100098 and 10012100107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1096775 + ... + 1105865.

It is an arithmetic number, because the mean of its divisors is an integer number (384182460).

Almost surely, 210012100120 is an apocalyptic number.

10012100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012100120 is an abundant number, since it is smaller than the sum of its proper divisors (14575577320).

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

10012100120 is a wasteful number, since it uses less digits than its factorization.

10012100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11616 (or 11612 counting only the distinct ones).

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

Adding to 10012100120 its reverse (2100121001), we get a palindrome (12112221121).

The spelling of 10012100120 in words is "ten billion, twelve million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2503 5006 9091 10012 12515 18182 20024 25030 27533 36364 45455 50060 55066 72728 90910 100001 100120 110132 137665 181820 200002 220264 275330 363640 400004 500005 550660 800008 1000010 1101320 2000020 4000040 22754773 45509546 91019092 113773865 182038184 227547730 250302503 455095460 500605006 910190920 1001210012 1251512515 2002420024 2503025030 5006050060 10012100120