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133102210000 = 245413310221
BaseRepresentation
bin111101111110110000…
…0101000101111010000
3110201120010021211201111
41323331200220233100
54140043131210000
6141051334143104
712421253055244
oct1737540505720
9421503254644
10133102210000
11514a2800451
12219677b1a94
13c7227c4756
1466294ba424
1536e0396cba
hex1efd828bd0

133102210000 has 50 divisors (see below), whose sum is σ = 322253784842. Its totient is φ = 53240880000.

The previous prime is 133102209973. The next prime is 133102210001. The reversal of 133102210000 is 12201331.

It can be written as a sum of positive squares in 5 ways, for example, as 94896034704 + 38206175296 = 308052^2 + 195464^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-3 number, since 3×1331022100003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133102210001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6645111 + ... + 6665110.

Almost surely, 2133102210000 is an apocalyptic number.

133102210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133102210000 is an abundant number, since it is smaller than the sum of its proper divisors (189151574842).

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

133102210000 is an equidigital number, since it uses as much as digits as its factorization.

133102210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13310249 (or 13310228 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 133102210000 its reverse (12201331), we get a palindrome (133114411331).

The spelling of 133102210000 in words is "one hundred thirty-three billion, one hundred two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 13310221 26620442 53240884 66551105 106481768 133102210 212963536 266204420 332755525 532408840 665511050 1064817680 1331022100 1663777625 2662044200 3327555250 5324088400 6655110500 8318888125 13310221000 16637776250 26620442000 33275552500 66551105000 133102210000