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10173219012 = 22321129387679
BaseRepresentation
bin10010111100101111…
…10000000011000100
3222020222201001221100
421132113300003010
5131313321002022
64401251220100
7510046635435
oct113627600304
928228631840
1010173219012
114350576020
121b7aba7630
13c61858a28
146c717348c
153e81c71ac
hex25e5f00c4

10173219012 has 72 divisors (see below), whose sum is σ = 28149488640. Its totient is φ = 3072237120.

The previous prime is 10173218981. The next prime is 10173219029. The reversal of 10173219012 is 21091237101.

It is a super-3 number, since 3×101732190123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 72189 + ... + 159867.

It is an arithmetic number, because the mean of its divisors is an integer number (390965120).

Almost surely, 210173219012 is an apocalyptic number.

10173219012 is a gapful number since it is divisible by the number (12) 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 10173219012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14074744320).

10173219012 is an abundant number, since it is smaller than the sum of its proper divisors (17976269628).

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

10173219012 is a wasteful number, since it uses less digits than its factorization.

10173219012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87993 (or 87988 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 10173219012 in words is "ten billion, one hundred seventy-three million, two hundred nineteen thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 293 396 586 879 1172 1758 2637 3223 3516 5274 6446 9669 10548 12892 19338 29007 38676 58014 87679 116028 175358 263037 350716 526074 789111 964469 1052148 1578222 1928938 2893407 3156444 3857876 5786814 8680221 11573628 17360442 25689947 34720884 51379894 77069841 102759788 154139682 231209523 282589417 308279364 462419046 565178834 847768251 924838092 1130357668 1695536502 2543304753 3391073004 5086609506 10173219012