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200132111232 = 2733181319937
BaseRepresentation
bin1011101001100011001…
…1011010101110000000
3201010120112212122001000
42322120303122232000
511234332310024412
6231534525412000
720313313606644
oct2723063325600
9633515778030
10200132111232
117796a3a5339
1232953a0a000
1315b457c68c1
149987870c24
155314d6d4dc
hex2e98cdab80

200132111232 has 128 divisors (see below), whose sum is σ = 593932903200. Its totient is φ = 66341928960.

The previous prime is 200132111213. The next prime is 200132111233. The reversal of 200132111232 is 232111231002.

200132111232 is a `hidden beast` number, since 200 + 1 + 321 + 112 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200132111233) 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, 465568 + ... + 785504.

Almost surely, 2200132111232 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 200132111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296966451600).

200132111232 is an abundant number, since it is smaller than the sum of its proper divisors (393800791968).

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

200132111232 is a wasteful number, since it uses less digits than its factorization.

200132111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320141 (or 320123 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200132111232 its reverse (232111231002), we get a palindrome (432243342234).

It can be divided in two parts, 200132 and 111232, that added together give a square (311364 = 5582).

The spelling of 200132111232 in words is "two hundred billion, one hundred thirty-two million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 181 192 216 288 362 384 432 543 576 724 864 1086 1152 1448 1629 1728 2172 2896 3258 3456 4344 4887 5792 6516 8688 9774 11584 13032 17376 19548 23168 26064 34752 39096 52128 69504 78192 104256 156384 208512 312768 319937 625536 639874 959811 1279748 1919622 2559496 2879433 3839244 5118992 5758866 7678488 8638299 10237984 11517732 15356976 17276598 20475968 23035464 30713952 34553196 40951936 46070928 57908597 61427904 69106392 92141856 115817194 122855808 138212784 173725791 184283712 231634388 276425568 347451582 368567424 463268776 521177373 552851136 694903164 926537552 1042354746 1105702272 1389806328 1563532119 1853075104 2084709492 2779612656 3127064238 3706150208 4169418984 5559225312 6254128476 7412300416 8338837968 11118450624 12508256952 16677675936 22236901248 25016513904 33355351872 50033027808 66710703744 100066055616 200132111232