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32021112120 = 23352933127799
BaseRepresentation
bin11101110100100110…
…110110010100111000
310001122121101000222120
4131310212312110320
51011034401041440
622413231321240
72212340651004
oct356446662470
9101577330876
1032021112120
11126420a0528
126257980220
133034021b2a
14179aa3b704
15c762abdd0
hex7749b6538

32021112120 has 128 divisors (see below), whose sum is σ = 99679680000. Its totient is φ = 8219312640.

The previous prime is 32021112041. The next prime is 32021112121. The reversal of 32021112120 is 2121112023.

It is a super-2 number, since 2×320211121202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32021112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32021112121) 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, 1137981 + ... + 1165779.

It is an arithmetic number, because the mean of its divisors is an integer number (778747500).

Almost surely, 232021112120 is an apocalyptic number.

32021112120 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 32021112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49839840000).

32021112120 is an abundant number, since it is smaller than the sum of its proper divisors (67658567880).

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

32021112120 is a wasteful number, since it uses less digits than its factorization.

32021112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28173 (or 28169 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 32021112120 its reverse (2121112023), we get a palindrome (34142224143).

The spelling of 32021112120 in words is "thirty-two billion, twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 331 348 435 580 662 696 870 993 1160 1324 1655 1740 1986 2648 3310 3480 3972 4965 6620 7944 9599 9930 13240 19198 19860 27799 28797 38396 39720 47995 55598 57594 76792 83397 95990 111196 115188 138995 143985 166794 191980 222392 230376 277990 287970 333588 383960 416985 555980 575940 667176 806171 833970 1111960 1151880 1612342 1667940 2418513 3224684 3335880 4030855 4837026 6449368 8061710 9201469 9674052 12092565 16123420 18402938 19348104 24185130 27604407 32246840 36805876 46007345 48370260 55208814 73611752 92014690 96740520 110417628 138022035 184029380 220835256 266842601 276044070 368058760 533685202 552088140 800527803 1067370404 1104176280 1334213005 1601055606 2134740808 2668426010 3202111212 4002639015 5336852020 6404222424 8005278030 10673704040 16010556060 32021112120