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32112130310020 = 22519435033907051
BaseRepresentation
bin1110100110100101100000…
…00111101011111110000100
311012200220000120111112210101
413103102300013223332010
513202111120324410040
6152144035313533444
76523011344661145
oct723226007537604
9135626016445711
1032112130310020
11a260750442442
123727667574284
1314bc212641497
147d0341d19acc
153aa49be0209a
hex1d34b01ebf84

32112130310020 has 96 divisors (see below), whose sum is σ = 72779939527680. Its totient is φ = 11862178876800.

The previous prime is 32112130309933. The next prime is 32112130310041. The reversal of 32112130310020 is 2001303121123.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 32112130310020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6265495 + ... + 10172545.

It is an arithmetic number, because the mean of its divisors is an integer number (758124370080).

Almost surely, 232112130310020 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 32112130310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36389969763840).

32112130310020 is an abundant number, since it is smaller than the sum of its proper divisors (40667809217660).

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

32112130310020 is a wasteful number, since it uses less digits than its factorization.

32112130310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907625 (or 3907623 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 32112130310020 its reverse (2001303121123), we get a palindrome (34113433431143).

The spelling of 32112130310020 in words is "thirty-two trillion, one hundred twelve billion, one hundred thirty million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 503 817 860 1006 1634 2012 2515 3268 4085 5030 8170 9557 10060 16340 19114 21629 38228 43258 47785 86516 95570 108145 191140 216290 410951 432580 821902 1643804 2054755 3907051 4109510 7814102 8219020 15628204 19535255 39070510 74233969 78141020 148467938 168003193 296935876 336006386 371169845 672012772 742339690 840015965 1484679380 1680031930 1965246653 3192060667 3360063860 3930493306 6384121334 7860986612 9826233265 12768242668 15960303335 19652466530 31920606670 37339686407 39304933060 63841213340 74679372814 84505606079 149358745628 169011212158 186698432035 338022424316 373396864070 422528030395 746793728140 845056060790 1605606515501 1690112121580 3211213031002 6422426062004 8028032577505 16056065155010 32112130310020