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1032201131232 = 253192106328019
BaseRepresentation
bin11110000010100111111…
…10110101010011100000
310122200021212112101021010
433001103332311103200
5113402421442144412
62110104152300520
7134400622565055
oct17012376652340
93580255471233
101032201131232
113688326a1447
1214806a0a1740
137644a69a14b
1437d5cd4502c
151bcb373233c
hexf053fb54e0

1032201131232 has 144 divisors (see below), whose sum is σ = 2862432639360. Its totient is φ = 325639989504.

The previous prime is 1032201131197. The next prime is 1032201131233. The reversal of 1032201131232 is 2321311022301.

It is a junction number, because it is equal to n+sod(n) for n = 1032201131199 and 1032201131208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032201131233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36825319 + ... + 36853337.

It is an arithmetic number, because the mean of its divisors is an integer number (19878004440).

Almost surely, 21032201131232 is an apocalyptic number.

1032201131232 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 1032201131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431216319680).

1032201131232 is an abundant number, since it is smaller than the sum of its proper divisors (1830231508128).

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

1032201131232 is a wasteful number, since it uses less digits than its factorization.

1032201131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29133 (or 29106 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1032201131232 its reverse (2321311022301), we get a palindrome (3353512153533).

The spelling of 1032201131232 in words is "one trillion, thirty-two billion, two hundred one million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 361 456 608 722 912 1063 1083 1444 1824 2126 2166 2888 3189 4252 4332 5776 6378 8504 8664 11552 12756 17008 17328 20197 25512 28019 34016 34656 40394 51024 56038 60591 80788 84057 102048 112076 121182 161576 168114 224152 242364 323152 336228 383743 448304 484728 532361 646304 672456 767486 896608 969456 1064722 1151229 1344912 1534972 1597083 1938912 2129444 2302458 2689824 3069944 3194166 4258888 4604916 6139888 6388332 8517776 9209832 10114859 12279776 12776664 17035552 18419664 20229718 25553328 29784197 30344577 36839328 40459436 51106656 59568394 60689154 80918872 89352591 119136788 121378308 161837744 178705182 238273576 242756616 323675488 357410364 476547152 485513232 565899743 714820728 953094304 971026464 1131799486 1429641456 1697699229 2263598972 2859282912 3395398458 4527197944 6790796916 9054395888 10752095117 13581593832 18108791776 21504190234 27163187664 32256285351 43008380468 54326375328 64512570702 86016760936 129025141404 172033521872 258050282808 344067043744 516100565616 1032201131232