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132520011028120 = 235176717316813249
BaseRepresentation
bin11110001000011010111000…
…001011101101011010011000
3122101012210022102100101222001
4132020122320023231122120
5114332201440310344440
61145502504100010344
736625153261054102
oct3610327013553230
9571183272311861
10132520011028120
113925246a488081
1212a433236909b4
1358c3777a03761
1424a20077c8572
15104c239da2b9a
hex7886b82ed698

132520011028120 has 128 divisors (see below), whose sum is σ = 322273685880000. Its totient is φ = 48861181771776.

The previous prime is 132520011028099. The next prime is 132520011028199. The reversal of 132520011028120 is 21820110025231.

132520011028120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524745 + ... + 16288504.

Almost surely, 2132520011028120 is an apocalyptic number.

132520011028120 is a gapful number since it is divisible by the number (10) 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 132520011028120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161136842940000).

132520011028120 is an abundant number, since it is smaller than the sum of its proper divisors (189753674851880).

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

132520011028120 is a wasteful number, since it uses less digits than its factorization.

132520011028120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16813517 (or 16813513 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 132520011028120 in words is "one hundred thirty-two trillion, five hundred twenty billion, eleven million, twenty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 173 268 335 340 346 536 670 680 692 865 1139 1340 1384 1730 2278 2680 2941 3460 4556 5695 5882 6920 9112 11390 11591 11764 14705 22780 23182 23528 29410 45560 46364 57955 58820 92728 115910 117640 197047 231820 394094 463640 788188 985235 1576376 1970470 3940940 7881880 16813249 33626498 67252996 84066245 134505992 168132490 285825233 336264980 571650466 672529960 1126487683 1143300932 1429126165 2252975366 2286601864 2858252330 2908692077 4505950732 5632438415 5716504660 5817384154 9011901464 11264876830 11433009320 11634768308 14543460385 19150290611 22529753660 23269536616 29086920770 38300581222 45059507320 49447765309 58173841540 76601162444 95751453055 98895530618 116347683080 153202324888 191502906110 194882369159 197791061236 247238826545 383005812220 389764738318 395582122472 494477653090 766011624440 779529476636 974411845795 988955306180 1559058953272 1948823691590 1977910612360 3313000275703 3897647383180 6626000551406 7795294766360 13252001102812 16565001378515 26504002205624 33130002757030 66260005514060 132520011028120