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101433076120 = 235295910913597
BaseRepresentation
bin101111001110111100…
…0011110100110011000
3100200211001020011010001
41132131320132212120
53130213331413440
6114333034502344
710220414630665
oct1363570364630
9320731204101
10101433076120
113a021366432
12177a98949b4
13974669c38c
144ca3502a6c
152989e64b9a
hex179de1e998

101433076120 has 128 divisors (see below), whose sum is σ = 242316360000. Its totient is φ = 38154074112.

The previous prime is 101433076057. The next prime is 101433076159. The reversal of 101433076120 is 21670334101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7453162 + ... + 7466758.

Almost surely, 2101433076120 is an apocalyptic number.

101433076120 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 101433076120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121158180000).

101433076120 is an abundant number, since it is smaller than the sum of its proper divisors (140883283880).

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

101433076120 is a wasteful number, since it uses less digits than its factorization.

101433076120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13805 (or 13801 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 101433076120 in words is "one hundred one billion, four hundred thirty-three million, seventy-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 59 109 116 118 145 218 232 236 290 295 436 472 545 580 590 872 1090 1160 1180 1711 2180 2360 3161 3422 4360 6322 6431 6844 8555 12644 12862 13597 13688 15805 17110 25288 25724 27194 31610 32155 34220 51448 54388 63220 64310 67985 68440 108776 126440 128620 135970 186499 257240 271940 372998 394313 543880 745996 788626 802223 932495 1482073 1491992 1577252 1604446 1864990 1971565 2964146 3154504 3208892 3729980 3943130 4011115 5928292 6417784 7410365 7459960 7886260 8022230 11856584 14820730 15772520 16044460 23264467 29641460 32088920 42980117 46528934 59282920 85960234 87442307 93057868 116322335 171920468 174884614 186115736 214900585 232644670 343840936 349769228 429801170 437211535 465289340 699538456 859602340 874423070 930578680 1719204680 1748846140 2535826903 3497692280 5071653806 10143307612 12679134515 20286615224 25358269030 50716538060 101433076120