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102021020000 = 255447108533
BaseRepresentation
bin101111100000011101…
…1010011100101100000
3100202100000112210111022
41133000323103211200
53132414340120000
6114511240305012
710241114235044
oct1370073234540
9322300483438
10102021020000
113a2a322a369
1217932772168
13980b436573
144d1b62c024
1529c18a0585
hex17c0ed3960

102021020000 has 120 divisors (see below), whose sum is σ = 256329523296. Its totient is φ = 39939776000.

The previous prime is 102021019999. The next prime is 102021020053. The reversal of 102021020000 is 20120201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102021020000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 885734 + ... + 994266.

Almost surely, 2102021020000 is an apocalyptic number.

102021020000 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 102021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128164761648).

102021020000 is an abundant number, since it is smaller than the sum of its proper divisors (154308503296).

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

102021020000 is an equidigital number, since it uses as much as digits as its factorization.

102021020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108610 (or 108587 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102021020000 its reverse (20120201), we get a palindrome (102041140201).

The spelling of 102021020000 in words is "one hundred two billion, twenty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1880 2000 2350 2500 3760 4000 4700 5000 5875 7520 9400 10000 11750 18800 20000 23500 29375 37600 47000 58750 94000 108533 117500 188000 217066 235000 434132 470000 542665 868264 940000 1085330 1736528 2170660 2713325 3473056 4341320 5101051 5426650 8682640 10202102 10853300 13566625 17365280 20404204 21706600 25505255 27133250 40808408 43413200 51010510 54266500 67833125 81616816 86826400 102021020 108533000 127526275 135666250 163233632 204042040 217066000 255052550 271332500 408084080 434132000 510105100 542665000 637631375 816168160 1020210200 1085330000 1275262750 2040420400 2170660000 2550525500 3188156875 4080840800 5101051000 6376313750 10202102000 12752627500 20404204000 25505255000 51010510000 102021020000