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102210022020 = 223516710200601
BaseRepresentation
bin101111100110000110…
…0010010101010000100
3100202211012012002112010
41133030030102222010
53133311231201040
6114542111254220
710245600565251
oct1371414225204
9322735162463
10102210022020
113a38a990387
1217985b1a370
13983b63c992
144d3878a428
1529d3285e80
hex17cc312a84

102210022020 has 48 divisors (see below), whose sum is σ = 287901790848. Its totient is φ = 27092793600.

The previous prime is 102210022007. The next prime is 102210022027. The reversal of 102210022020 is 20220012201.

It is a super-3 number, since 3×1022100220203 (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102210021987 and 102210022005.

It is not an unprimeable number, because it can be changed into a prime (102210022027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5090281 + ... + 5110320.

It is an arithmetic number, because the mean of its divisors is an integer number (5997953976).

Almost surely, 2102210022020 is an apocalyptic number.

102210022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210022020 is an abundant number, since it is smaller than the sum of its proper divisors (185691768828).

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

102210022020 is a wasteful number, since it uses less digits than its factorization.

102210022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10200780 (or 10200778 counting only the distinct ones).

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

Adding to 102210022020 its reverse (20220012201), we get a palindrome (122430034221).

The spelling of 102210022020 in words is "one hundred two billion, two hundred ten million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 3340 5010 10020 10200601 20401202 30601803 40802404 51003005 61203606 102006010 122407212 153009015 204012020 306018030 612036060 1703500367 3407000734 5110501101 6814001468 8517501835 10221002202 17035003670 20442004404 25552505505 34070007340 51105011010 102210022020