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21330117032 = 237736318269
BaseRepresentation
bin10011110111010111…
…111100000110101000
32001001112101012210112
4103313113330012220
5322141002221112
613444322233452
71353403001060
oct236727740650
961045335715
1021330117032
1190563276a4
1241734b5888
13201c128c33
141064c063a0
1584c909a22
hex4f75fc1a8

21330117032 has 64 divisors (see below), whose sum is σ = 46412563200. Its totient is φ = 9000875520.

The previous prime is 21330117007. The next prime is 21330117047. The reversal of 21330117032 is 23071103312.

It is a junction number, because it is equal to n+sod(n) for n = 21330116989 and 21330117007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2575394 + ... + 2583662.

It is an arithmetic number, because the mean of its divisors is an integer number (725196300).

Almost surely, 221330117032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21330117032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23206281600).

21330117032 is an abundant number, since it is smaller than the sum of its proper divisors (25082446168).

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

21330117032 is a wasteful number, since it uses less digits than its factorization.

21330117032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8986 (or 8982 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The spelling of 21330117032 in words is "twenty-one billion, three hundred thirty million, one hundred seventeen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 631 1022 1262 2044 2524 4088 4417 5048 8269 8834 16538 17668 33076 35336 46063 57883 66152 92126 115766 184252 231532 322441 368504 463064 603637 644882 1207274 1289764 2414548 2579528 4225459 4829096 5217739 8450918 10435478 16901836 20870956 33803672 36524173 41741912 73048346 146096692 292193384 380894947 761789894 1523579788 2666264629 3047159576 5332529258 10665058516 21330117032