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10152212100 = 2235233840707
BaseRepresentation
bin10010111010001111…
…00111011010000100
3222012112011210212120
421131013213122010
5131242431241400
64355221045540
7506403244002
oct113507473204
928175153776
1010152212100
11433a728238
121b73b568b0
13c5a3b21c4
146c4465a72
153e6427ca0
hex25d1e7684

10152212100 has 36 divisors (see below), whose sum is σ = 29373734544. Its totient is φ = 2707256480.

The previous prime is 10152212093. The next prime is 10152212101. The reversal of 10152212100 is 121225101.

10152212100 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 10152212100.

It is not an unprimeable number, because it can be changed into a prime (10152212101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16920054 + ... + 16920653.

Almost surely, 210152212100 is an apocalyptic number.

10152212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10152212100 is an abundant number, since it is smaller than the sum of its proper divisors (19221522444).

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

10152212100 is a wasteful number, since it uses less digits than its factorization.

10152212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33840724 (or 33840717 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10152212100 its reverse (121225101), we get a palindrome (10273437201).

The spelling of 10152212100 in words is "ten billion, one hundred fifty-two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 33840707 67681414 101522121 135362828 169203535 203044242 338407070 406088484 507610605 676814140 846017675 1015221210 1692035350 2030442420 2538053025 3384070700 5076106050 10152212100