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133011032100 = 223521393189713
BaseRepresentation
bin111101111100000010…
…0110100100000100100
3110201022202201112011020
41323320010310200210
54134401311011400
6141034320011140
712416065055412
oct1737004644044
9421282645136
10133011032100
1151456295111
1221941160ab0
13c70994c62b
14661b3442b2
1536d73862a0
hex1ef8134824

133011032100 has 72 divisors (see below), whose sum is σ = 387614045280. Its totient is φ = 35214420480.

The previous prime is 133011032093. The next prime is 133011032111. The reversal of 133011032100 is 1230110331.

133011032100 is digitally balanced in base 3, 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 133011032100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1553157 + ... + 1636556.

Almost surely, 2133011032100 is an apocalyptic number.

133011032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133011032100 is an abundant number, since it is smaller than the sum of its proper divisors (254603013180).

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

133011032100 is a wasteful number, since it uses less digits than its factorization.

133011032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189869 (or 3189862 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 133011032100 its reverse (1230110331), we get a palindrome (134241142431).

It can be divided in two parts, 13301 and 1032100, that added together give a palindrome (1045401).

The spelling of 133011032100 in words is "one hundred thirty-three billion, eleven million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 139 150 278 300 417 556 695 834 1390 1668 2085 2780 3475 4170 6950 8340 10425 13900 20850 41700 3189713 6379426 9569139 12758852 15948565 19138278 31897130 38276556 47845695 63794260 79742825 95691390 159485650 191382780 239228475 318971300 443370107 478456950 886740214 956913900 1330110321 1773480428 2216850535 2660220642 4433701070 5320441284 6650551605 8867402140 11084252675 13301103210 22168505350 26602206420 33252758025 44337010700 66505516050 133011032100