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232133100000 = 25355773777
BaseRepresentation
bin1101100000110000110…
…1100000000111100000
3211012011202101021222020
43120030031200013200
512300402033200000
6254350201541440
722525321536204
oct3301415400740
9735152337866
10232133100000
118a4a10a089a
1238ba4aa4880
1318b755c1109
14b341950b04
1560894a2ba0
hex360c3601e0

232133100000 has 144 divisors (see below), whose sum is σ = 761638970736. Its totient is φ = 61902080000.

The previous prime is 232133099999. The next prime is 232133100011. The reversal of 232133100000 is 1331232.

It is a super-2 number, since 2×2321331000002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 86889 + ... + 686888.

It is an arithmetic number, because the mean of its divisors is an integer number (5289159519).

Almost surely, 2232133100000 is an apocalyptic number.

232133100000 is a gapful number since it is divisible by the number (20) 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 232133100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380819485368).

232133100000 is an abundant number, since it is smaller than the sum of its proper divisors (529505870736).

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

232133100000 is an frugal number, since it uses more digits than its factorization.

232133100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773815 (or 773787 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 232133100000 its reverse (1331232), we get a palindrome (232134431232).

It can be divided in two parts, 23213 and 3100000, that added together give a palindrome (3123213).

The spelling of 232133100000 in words is "two hundred thirty-two billion, one hundred thirty-three million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 773777 1547554 2321331 3095108 3868885 4642662 6190216 7737770 9285324 11606655 12380432 15475540 18570648 19344425 23213310 24760864 30951080 37141296 38688850 46426620 58033275 61902160 74282592 77377700 92853240 96722125 116066550 123804320 154755400 185706480 193444250 232133100 290166375 309510800 371412960 386888500 464266200 483610625 580332750 619021600 773777000 928532400 967221250 1160665500 1450831875 1547554000 1857064800 1934442500 2321331000 2418053125 2901663750 3095108000 3868885000 4642662000 4836106250 5803327500 7254159375 7737770000 9285324000 9672212500 11606655000 14508318750 15475540000 19344425000 23213310000 29016637500 38688850000 46426620000 58033275000 77377700000 116066550000 232133100000