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102212022001020 = 223537694007112799
BaseRepresentation
bin10111001111011000010111…
…010000110101110101111100
3111101220101002112221222211020
4113033120113100311311330
5101344120210113013040
61001215315451024140
730346401122003061
oct2717302720656574
9441811075858736
10102212022001020
112a627969837498
12b56945b43b050
134505724595149
141b3513428ac68
15bc3b8138acd0
hex5cf617435d7c

102212022001020 has 96 divisors (see below), whose sum is σ = 286343576064000. Its totient is φ = 27242265490944.

The previous prime is 102212022001007. The next prime is 102212022001027. The reversal of 102212022001020 is 20100220212201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212022001027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906086581 + ... + 906199379.

It is an arithmetic number, because the mean of its divisors is an integer number (2982745584000).

Almost surely, 2102212022001020 is an apocalyptic number.

102212022001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212022001020 is an abundant number, since it is smaller than the sum of its proper divisors (184131554062980).

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

102212022001020 is a wasteful number, since it uses less digits than its factorization.

102212022001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120587 (or 120585 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102212022001020 its reverse (20100220212201), we get a palindrome (122312242213221).

The spelling of 102212022001020 in words is "one hundred two trillion, two hundred twelve billion, twenty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3769 4007 7538 8014 11307 12021 15076 16028 18845 20035 22614 24042 37690 40070 45228 48084 56535 60105 75380 80140 112799 113070 120210 225598 226140 240420 338397 451196 563995 676794 1127990 1353588 1691985 2255980 3383970 6767940 15102383 30204766 45307149 60409532 75511915 90614298 151023830 181228596 226535745 302047660 425139431 451985593 453071490 850278862 903971186 906142980 1275418293 1355956779 1700557724 1807942372 2125697155 2259927965 2550836586 2711913558 4251394310 4519855930 5101673172 5423827116 6377091465 6779783895 8502788620 9039711860 12754182930 13559567790 25508365860 27119135580 1703533700017 3407067400034 5110601100051 6814134800068 8517668500085 10221202200102 17035337000170 20442404400204 25553005500255 34070674000340 51106011000510 102212022001020