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101200031232 = 293383317189
BaseRepresentation
bin101111000111111111…
…1011110111000000000
3100200012210201020121220
41132033333132320000
53124224201444412
6114253551515040
710211555033556
oct1361777367000
9320183636556
10101200031232
1139a11863353
1217743828a80
13970a3151b1
144c8059bbd6
15297477e68c
hex178ffdee00

101200031232 has 80 divisors (see below), whose sum is σ = 269689234320. Its totient is φ = 33722580992.

The previous prime is 101200031201. The next prime is 101200031243. The reversal of 101200031232 is 232130002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5878894 + ... + 5896082.

It is an arithmetic number, because the mean of its divisors is an integer number (3371115429).

Almost surely, 2101200031232 is an apocalyptic number.

101200031232 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 101200031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134844617160).

101200031232 is an abundant number, since it is smaller than the sum of its proper divisors (168489203088).

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

101200031232 is an equidigital number, since it uses as much as digits as its factorization.

101200031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21043 (or 21027 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101200031232 its reverse (232130002101), we get a palindrome (333330033333).

The spelling of 101200031232 in words is "one hundred one billion, two hundred million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 3833 7666 11499 15332 17189 22998 30664 34378 45996 51567 61328 68756 91992 103134 122656 137512 183984 206268 245312 275024 367968 412536 490624 550048 735936 825072 981248 1100096 1471872 1650144 1962496 2200192 2943744 3300288 4400384 5887488 6600576 8800768 13201152 26402304 65885437 131770874 197656311 263541748 395312622 527083496 790625244 1054166992 1581250488 2108333984 3162500976 4216667968 6325001952 8433335936 12650003904 16866671872 25300007808 33733343744 50600015616 101200031232