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233013321132180 = 223521269182592287
BaseRepresentation
bin110100111110110010100100…
…001110111110100010010100
31010120000212002222122201111120
4310332302210032332202110
5221020142240202212210
62143324501510203540
7100036441214021151
oct6476624416764224
91116025088581446
10233013321132180
1168277438152926
12221736619535b0
13a0030a5cb9354
144177c95147228
151be1327ce4270
hexd3eca43be894

233013321132180 has 48 divisors (see below), whose sum is σ = 652467978247680. Its totient is φ = 62133963818368.

The previous prime is 233013321132157. The next prime is 233013321132181. The reversal of 233013321132180 is 81231123310332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233013321132181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90020004 + ... + 92572283.

It is an arithmetic number, because the mean of its divisors is an integer number (13593082880160).

Almost surely, 2233013321132180 is an apocalyptic number.

233013321132180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233013321132180 is an abundant number, since it is smaller than the sum of its proper divisors (419454657115500).

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

233013321132180 is a wasteful number, since it uses less digits than its factorization.

233013321132180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182613568 (or 182613566 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 233013321132180 in words is "two hundred thirty-three trillion, thirteen billion, three hundred twenty-one million, one hundred thirty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 21269 42538 63807 85076 106345 127614 212690 255228 319035 425380 638070 1276140 182592287 365184574 547776861 730369148 912961435 1095553722 1825922870 2191107444 2738884305 3651845740 5477768610 10955537220 3883555352203 7767110704406 11650666056609 15534221408812 19417776761015 23301332113218 38835553522030 46602664226436 58253330283045 77671107044060 116506660566090 233013321132180