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32020020120 = 233511193125687
BaseRepresentation
bin11101110100100010…
…101011101110011000
310001122112022120001010
4131310202223232120
51011034111120440
622413152053520
72212325452224
oct356442535630
9101575276033
1032020020120
1112641515050
1262575342a0
133033a2ba8a
14179a835784
15c76143580
hex7748abb98

32020020120 has 128 divisors (see below), whose sum is σ = 105336599040. Its totient is φ = 7722147840.

The previous prime is 32020020061. The next prime is 32020020127. The reversal of 32020020120 is 2102002023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 32020020096 and 32020020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32020020127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191917 + ... + 317603.

It is an arithmetic number, because the mean of its divisors is an integer number (822942180).

Almost surely, 232020020120 is an apocalyptic number.

32020020120 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 32020020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52668299520).

32020020120 is an abundant number, since it is smaller than the sum of its proper divisors (73316578920).

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

32020020120 is a wasteful number, since it uses less digits than its factorization.

32020020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125905 (or 125901 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 32020020120 its reverse (2102002023), we get a palindrome (34122022143).

The spelling of 32020020120 in words is "thirty-two billion, twenty million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 193 220 264 330 386 440 579 660 772 965 1158 1320 1544 1930 2123 2316 2895 3860 4246 4632 5790 6369 7720 8492 10615 11580 12738 16984 21230 23160 25476 31845 42460 50952 63690 84920 125687 127380 251374 254760 377061 502748 628435 754122 1005496 1256870 1382557 1508244 1885305 2513740 2765114 3016488 3770610 4147671 5027480 5530228 6912785 7541220 8295342 11060456 13825570 15082440 16590684 20738355 24257591 27651140 33181368 41476710 48515182 55302280 72772773 82953420 97030364 121287955 145545546 165906840 194060728 242575910 266833501 291091092 363863865 485151820 533667002 582182184 727727730 800500503 970303640 1067334004 1334167505 1455455460 1601001006 2134668008 2668335010 2910910920 3202002012 4002502515 5336670020 6404004024 8005005030 10673340040 16010010060 32020020120