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32101120020 = 22355915315923
BaseRepresentation
bin11101111001011000…
…000011100000010100
310001212011220212012010
4131321120003200110
51011220341320040
622425210224220
72214332006124
oct357130034024
9101764825163
1032101120020
1112683277662
12627a725070
133047785998
1417a7506c84
15c7d312e80
hex779603814

32101120020 has 96 divisors (see below), whose sum is σ = 91481725440. Its totient is φ = 8408292480.

The previous prime is 32101120003. The next prime is 32101120061. The reversal of 32101120020 is 2002110123.

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 = 32101119978 and 32101120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5416779 + ... + 5422701.

It is an arithmetic number, because the mean of its divisors is an integer number (952934640).

Almost surely, 232101120020 is an apocalyptic number.

32101120020 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 32101120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45740862720).

32101120020 is an abundant number, since it is smaller than the sum of its proper divisors (59380605420).

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

32101120020 is a wasteful number, since it uses less digits than its factorization.

32101120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7525 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 32101120020 its reverse (2002110123), we get a palindrome (34103230143).

The spelling of 32101120020 in words is "thirty-two billion, one hundred one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1531 1770 3062 3540 4593 5923 6124 7655 9186 11846 15310 17769 18372 22965 23692 29615 30620 35538 45930 59230 71076 88845 90329 91860 118460 177690 180658 270987 349457 355380 361316 451645 541974 698914 903290 1048371 1083948 1354935 1397828 1747285 1806580 2096742 2709870 3494570 4193484 5241855 5419740 6989140 9068113 10483710 18136226 20967420 27204339 36272452 45340565 54408678 90681130 108817356 136021695 181362260 272043390 535018667 544086780 1070037334 1605056001 2140074668 2675093335 3210112002 5350186670 6420224004 8025280005 10700373340 16050560010 32101120020