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102210421020 = 223514938329851
BaseRepresentation
bin101111100110000110…
…1110100000100011100
3100202211012221100211220
41133030031310010130
53133311331433040
6114542124013340
710245604146441
oct1371415640434
9322735840756
10102210421020
113a390133134
1217986091250
13983b74c486
144d388519c8
1529d33142d0
hex17cc37411c

102210421020 has 96 divisors (see below), whose sum is σ = 288871833600. Its totient is φ = 27001593600.

The previous prime is 102210420989. The next prime is 102210421021. The reversal of 102210421020 is 20124012201.

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 (102210421021) 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, 3409095 + ... + 3438945.

It is an arithmetic number, because the mean of its divisors is an integer number (3009081600).

Almost surely, 2102210421020 is an apocalyptic number.

102210421020 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 102210421020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144435916800).

102210421020 is an abundant number, since it is smaller than the sum of its proper divisors (186661412580).

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

102210421020 is a wasteful number, since it uses less digits than its factorization.

102210421020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30395 (or 30393 counting only the distinct ones).

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

Adding to 102210421020 its reverse (20124012201), we get a palindrome (122334433221).

The spelling of 102210421020 in words is "one hundred two billion, two hundred ten million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 383 447 596 745 766 894 1149 1490 1532 1788 1915 2235 2298 2980 3830 4470 4596 5745 7660 8940 11490 22980 29851 57067 59702 89553 114134 119404 149255 171201 179106 228268 285335 298510 342402 358212 447765 570670 597020 684804 856005 895530 1141340 1712010 1791060 3424020 4447799 8895598 11432933 13343397 17791196 22238995 22865866 26686794 34298799 44477990 45731732 53373588 57164665 66716985 68597598 88955980 114329330 133433970 137195196 171493995 228658660 266867940 342987990 685975980 1703507017 3407014034 5110521051 6814028068 8517535085 10221042102 17035070170 20442084204 25552605255 34070140340 51105210510 102210421020