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20132233104 = 24319179123323
BaseRepresentation
bin10010101111111110…
…010111111110010000
31220222001100101222010
4102233332113332100
5312212322424404
613125411342520
71311616105104
oct225776277620
956861311863
1020132233104
1185a1136785
123a9a2b1a40
131b8abc5989
14d8daa7904
157cc68b189
hex4aff97f90

20132233104 has 80 divisors (see below), whose sum is σ = 55051833600. Its totient is φ = 6321979008.

The previous prime is 20132233103. The next prime is 20132233111. The reversal of 20132233104 is 40133223102.

It is not an unprimeable number, because it can be changed into a prime (20132233103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101587 + ... + 224909.

It is an arithmetic number, because the mean of its divisors is an integer number (688147920).

Almost surely, 220132233104 is an apocalyptic number.

20132233104 is a gapful number since it is divisible by the number (24) 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 20132233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27525916800).

20132233104 is an abundant number, since it is smaller than the sum of its proper divisors (34919600496).

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

20132233104 is a wasteful number, since it uses less digits than its factorization.

20132233104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123532 (or 123526 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20132233104 its reverse (40133223102), we get a palindrome (60265456206).

The spelling of 20132233104 in words is "twenty billion, one hundred thirty-two million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 179 228 304 358 456 537 716 912 1074 1432 2148 2864 3401 4296 6802 8592 10203 13604 20406 27208 40812 54416 81624 123323 163248 246646 369969 493292 739938 986584 1479876 1973168 2343137 2959752 4686274 5919504 7029411 9372548 14058822 18745096 22074817 28117644 37490192 44149634 56235288 66224451 88299268 112470576 132448902 176598536 264897804 353197072 419421523 529795608 838843046 1059591216 1258264569 1677686092 2516529138 3355372184 5033058276 6710744368 10066116552 20132233104