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102021020022120 = 23352696474884857
BaseRepresentation
bin10111001100100110011110…
…101010000111010101101000
3111101020010002022001010210120
4113030212132222013111220
5101333003022111201440
61000551450511443240
730326526660655533
oct2714463652072550
9441203068033716
10102021020022120
112a563965135771
12b538435226520
1344c07054b2614
141b29bb5227a1a
15bbdc02d51dd0
hex5cc99ea87568

102021020022120 has 128 divisors (see below), whose sum is σ = 307675712044800. Its totient is φ = 27062571186176.

The previous prime is 102021020022109. The next prime is 102021020022133. The reversal of 102021020022120 is 21220020120201.

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 102021020022120.

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, 18442732 + ... + 23327588.

It is an arithmetic number, because the mean of its divisors is an integer number (2403716500350).

Almost surely, 2102021020022120 is an apocalyptic number.

102021020022120 is a gapful number since it is divisible by the number (10) 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 102021020022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153837856022400).

102021020022120 is an abundant number, since it is smaller than the sum of its proper divisors (205654692022680).

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

102021020022120 is a wasteful number, since it uses less digits than its factorization.

102021020022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885787 (or 4885783 counting only the distinct ones).

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

Adding to 102021020022120 its reverse (21220020120201), we get a palindrome (123241040142321).

The spelling of 102021020022120 in words is "one hundred two trillion, twenty-one billion, twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 647 807 1076 1294 1345 1614 1941 2152 2588 2690 3228 3235 3882 4035 5176 5380 6456 6470 7764 8070 9705 10760 12940 15528 16140 19410 25880 32280 38820 77640 174043 348086 522129 696172 870215 1044258 1392344 1740430 2088516 2610645 3480860 4177032 4884857 5221290 6961720 9769714 10442580 14654571 19539428 20885160 24424285 29309142 39078856 48848570 58618284 73272855 97697140 117236568 146545710 195394280 293091420 586182840 1314026533 2628053066 3160502479 3942079599 5256106132 6321004958 6570132665 7884159198 9481507437 10512212264 12642009916 13140265330 15768318396 15802512395 18963014874 19710397995 25284019832 26280530660 31536636792 31605024790 37926029748 39420795990 47407537185 52561061320 63210049580 75852059496 78841591980 94815074370 126420099160 157683183960 189630148740 379260297480 850175166851 1700350333702 2550525500553 3400700667404 4250875834255 5101051001106 6801401334808 8501751668510 10202102002212 12752627502765 17003503337020 20404204004424 25505255005530 34007006674040 51010510011060 102021020022120