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20132031200 = 2552229109891
BaseRepresentation
bin10010101111111101…
…100110101011100000
31220222000222011000012
4102233331212223200
5312212244444300
613125403144052
71311614304341
oct225775465340
956860864005
1020132031200
1185a1009016
123a9a215028
131b8ab54ac8
14d8da540c8
157cc64b435
hex4aff66ae0

20132031200 has 72 divisors (see below), whose sum is σ = 49362387480. Its totient is φ = 8017574400.

The previous prime is 20132031181. The next prime is 20132031247. The reversal of 20132031200 is 213023102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128255 + ... + 238145.

It is an arithmetic number, because the mean of its divisors is an integer number (685588715).

Almost surely, 220132031200 is an apocalyptic number.

20132031200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24681193740).

20132031200 is an abundant number, since it is smaller than the sum of its proper divisors (29230356280).

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

20132031200 is a wasteful number, since it uses less digits than its factorization.

20132031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110140 (or 110127 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20132031200 its reverse (213023102), we get a palindrome (20345054302).

The spelling of 20132031200 in words is "twenty billion, one hundred thirty-two million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 229 400 458 800 916 1145 1832 2290 3664 4580 5725 7328 9160 11450 18320 22900 36640 45800 91600 109891 183200 219782 439564 549455 879128 1098910 1758256 2197820 2747275 3516512 4395640 5494550 8791280 10989100 17582560 21978200 25165039 43956400 50330078 87912800 100660156 125825195 201320312 251650390 402640624 503300780 629125975 805281248 1006601560 1258251950 2013203120 2516503900 4026406240 5033007800 10066015600 20132031200