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102020020212 = 2231119233174583
BaseRepresentation
bin101111100000011011…
…1011111011111110100
3100202022221200000001010
41133000313133133310
53132414111121322
6114511203032220
710241102602155
oct1370067373764
9322287600033
10102020020212
113a2a27071a0
121793236b670
13980b176486
144d1b44b92c
1529c175420c
hex17c0ddf7f4

102020020212 has 96 divisors (see below), whose sum is σ = 274529848320. Its totient is φ = 29162177280.

The previous prime is 102020020211. The next prime is 102020020217. The reversal of 102020020212 is 212020020201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020020211) 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, 497073 + ... + 671655.

It is an arithmetic number, because the mean of its divisors is an integer number (2859685920).

Almost surely, 2102020020212 is an apocalyptic number.

102020020212 is a gapful number since it is divisible by the number (12) 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 102020020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137264924160).

102020020212 is an abundant number, since it is smaller than the sum of its proper divisors (172509828108).

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

102020020212 is a wasteful number, since it uses less digits than its factorization.

102020020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174853 (or 174851 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102020020212 its reverse (212020020201), we get a palindrome (314040040413).

The spelling of 102020020212 in words is "one hundred two billion, twenty million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 233 418 466 627 699 836 932 1254 1398 2508 2563 2796 4427 5126 7689 8854 10252 13281 15378 17708 26562 30756 48697 53124 97394 146091 174583 194788 292182 349166 523749 584364 698332 1047498 1920413 2094996 3317077 3840826 5761239 6634154 7681652 9951231 11522478 13268308 19902462 23044956 36487847 39804924 40677839 72975694 81355678 109463541 122033517 145951388 162711356 218927082 244067034 437854164 447456229 488134068 772878941 894912458 1342368687 1545757882 1789824916 2318636823 2684737374 3091515764 4637273646 5369474748 8501668351 9274547292 17003336702 25505005053 34006673404 51010010106 102020020212