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203130130032 = 243223259123671
BaseRepresentation
bin1011110100101101111…
…1111100111001110000
3201102022111011202200100
42331023133330321300
511312002303130112
6233152223352400
720450516421354
oct2751337747160
9642274152610
10203130130032
1179168732225
123344ba52700
131620296641b
149b8dabd464
15543d1702dc
hex2f4b7fce70

203130130032 has 120 divisors (see below), whose sum is σ = 593452873728. Its totient is φ = 64738396800.

The previous prime is 203130130031. The next prime is 203130130057. The reversal of 203130130032 is 230031031302.

203130130032 is a `hidden beast` number, since 2 + 0 + 31 + 301 + 300 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203130129987 and 203130130014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203130130031) 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, 8569557 + ... + 8593227.

Almost surely, 2203130130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203130130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296726436864).

203130130032 is an abundant number, since it is smaller than the sum of its proper divisors (390322743696).

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

203130130032 is a wasteful number, since it uses less digits than its factorization.

203130130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26299 (or 26290 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 203130130032 its reverse (230031031302), we get a palindrome (433161161334).

The spelling of 203130130032 in words is "two hundred three billion, one hundred thirty million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 2591 3312 5182 7773 10364 15546 20728 23319 23671 31092 41456 46638 47342 59593 62184 71013 93276 94684 119186 124368 142026 178779 186552 189368 213039 238372 284052 357558 373104 378736 426078 476744 536337 544433 568104 715116 852156 953488 1072674 1088866 1136208 1430232 1633299 1704312 2145348 2177732 2860464 3266598 3408624 4290696 4355464 4899897 6533196 8581392 8710928 9799794 13066392 19599588 26132784 39199176 61331561 78398352 122663122 183994683 245326244 367989366 490652488 551984049 735978732 981304976 1103968098 1410625903 1471957464 2207936196 2821251806 2943914928 4231877709 4415872392 5642503612 8463755418 8831744784 11285007224 12695633127 16927510836 22570014448 25391266254 33855021672 50782532508 67710043344 101565065016 203130130032