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102022321020 = 223519950916787
BaseRepresentation
bin101111100000100000…
…0010001001101111100
3100202100002222220011020
41133001000101031330
53132420203233040
6114511324224140
710241131264104
oct1370100211574
9322302886136
10102022321020
113a2a3a38894
121793309b050
13980b7a07b9
144d1b88a204
1529c1a5acd0
hex17c101137c

102022321020 has 96 divisors (see below), whose sum is σ = 287679168000. Its totient is φ = 27014448384.

The previous prime is 102022320991. The next prime is 102022321021. The reversal of 102022321020 is 20123220201.

It is a happy number.

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 (102022321021) 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, 6069067 + ... + 6085853.

It is an arithmetic number, because the mean of its divisors is an integer number (2996658000).

Almost surely, 2102022321020 is an apocalyptic number.

102022321020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022321020 is an abundant number, since it is smaller than the sum of its proper divisors (185656846980).

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

102022321020 is a wasteful number, since it uses less digits than its factorization.

102022321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17507 (or 17505 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102022321020 its reverse (20123220201), we get a palindrome (122145541221).

The spelling of 102022321020 in words is "one hundred two billion, twenty-two million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 398 509 597 796 995 1018 1194 1527 1990 2036 2388 2545 2985 3054 3980 5090 5970 6108 7635 10180 11940 15270 16787 30540 33574 50361 67148 83935 100722 101291 167870 201444 202582 251805 303873 335740 405164 503610 506455 607746 1007220 1012910 1215492 1519365 2025820 3038730 3340613 6077460 6681226 8544583 10021839 13362452 16703065 17089166 20043678 25633749 33406130 34178332 40087356 42722915 50109195 51267498 66812260 85445830 100218390 102534996 128168745 170891660 200436780 256337490 512674980 1700372017 3400744034 5101116051 6801488068 8501860085 10202232102 17003720170 20404464204 25505580255 34007440340 51011160510 102022321020