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102222101020 = 225131920692733
BaseRepresentation
bin101111100110011101…
…0010111101000011100
3100202212000220202210111
41133030322113220130
53133322324213040
6114543222215404
710246105344064
oct1371472275034
9322760822714
10102222101020
113a396790526
1217989b84564
139840cab910
144d3a2123a4
1529d436edea
hex17cce97a1c

102222101020 has 48 divisors (see below), whose sum is σ = 243346551840. Its totient is φ = 35757040896.

The previous prime is 102222100973. The next prime is 102222101027. The reversal of 102222101020 is 20101222201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222101027) 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, 10341427 + ... + 10351306.

It is an arithmetic number, because the mean of its divisors is an integer number (5069719830).

Almost surely, 2102222101020 is an apocalyptic number.

102222101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222101020 is an abundant number, since it is smaller than the sum of its proper divisors (141124450820).

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

102222101020 is a wasteful number, since it uses less digits than its factorization.

102222101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20692774 (or 20692772 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102222101020 its reverse (20101222201), we get a palindrome (122323323221).

The spelling of 102222101020 in words is "one hundred two billion, two hundred twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 20692733 41385466 82770932 103463665 206927330 269005529 393161927 413854660 538011058 786323854 1076022116 1345027645 1572647708 1965809635 2690055290 3931619270 5111105051 5380110580 7863238540 10222210102 20444420204 25555525255 51111050510 102222101020