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32133003223140 = 223251312934650931
BaseRepresentation
bin1110100111001100011000…
…01111100010000001100100
311012202212220020120101201200
413103212030033202001210
513202431342311120030
6152201410424522500
76524350526550231
oct723461417420144
9135685806511650
1032133003223140
11a269591682a66
12372b711920430
1314c118ab1a751
147d136210a788
153aacbe5e8d60
hex1d398c3e2064

32133003223140 has 144 divisors (see below), whose sum is σ = 98549379504576. Its totient is φ = 8474366534400.

The previous prime is 32133003223103. The next prime is 32133003223163. The reversal of 32133003223140 is 4132230033123.

32133003223140 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 300 + 322 + 31 + 4 + 0 = 666.

It is a super-2 number, since 2×321330032231402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4583475 + ... + 9234405.

It is an arithmetic number, because the mean of its divisors is an integer number (684370691004).

Almost surely, 232133003223140 is an apocalyptic number.

32133003223140 is a gapful number since it is divisible by the number (30) 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 32133003223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49274689752288).

32133003223140 is an abundant number, since it is smaller than the sum of its proper divisors (66416376281436).

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

32133003223140 is a wasteful number, since it uses less digits than its factorization.

32133003223140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4651370 (or 4651365 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 32133003223140 its reverse (4132230033123), we get a palindrome (36265233256263).

The spelling of 32133003223140 in words is "thirty-two trillion, one hundred thirty-three billion, three million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 293 393 524 586 655 786 879 1172 1179 1310 1465 1572 1758 1965 2358 2620 2637 2930 3516 3930 4395 4716 5274 5860 5895 7860 8790 10548 11790 13185 17580 23580 26370 38383 52740 76766 115149 153532 191915 230298 345447 383830 460596 575745 690894 767660 1151490 1381788 1727235 2302980 3454470 4650931 6908940 9301862 13952793 18603724 23254655 27905586 41858379 46509310 55811172 69763965 83716758 93018620 139527930 167433516 209291895 279055860 418583790 609271961 837167580 1218543922 1362722783 1827815883 2437087844 2725445566 3046359805 3655631766 4088168349 5450891132 5483447649 6092719610 6813613915 7311263532 8176336698 9139079415 10966895298 12185439220 12264505047 13627227830 16352673396 18278158830 20440841745 21933790596 24529010094 27254455660 27417238245 36556317660 40881683490 49058020188 54834476490 61322525235 81763366980 109668952980 122645050470 178516684573 245290100940 357033369146 535550053719 714066738292 892583422865 1071100107438 1606650161157 1785166845730 2142200214876 2677750268595 3213300322314 3570333691460 5355500537190 6426600644628 8033250805785 10711001074380 16066501611570 32133003223140