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102022112220 = 22357242909791
BaseRepresentation
bin101111100000011111…
…1011110001111011100
3100202100002121021201220
41133000333132033130
53132420130042340
6114511315533340
710241126434260
oct1370077361734
9322302537656
10102022112220
113a2a3905a26
1217932bba250
13980b729752
144d1b8340a0
1529c1a18ed0
hex17c0fde3dc

102022112220 has 48 divisors (see below), whose sum is σ = 326470760448. Its totient is φ = 23319339840.

The previous prime is 102022112209. The next prime is 102022112251. The reversal of 102022112220 is 22211220201.

It is a super-2 number, since 2×1020221122202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102022112220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121454476 + ... + 121455315.

It is an arithmetic number, because the mean of its divisors is an integer number (6801474176).

Almost surely, 2102022112220 is an apocalyptic number.

102022112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022112220 is an abundant number, since it is smaller than the sum of its proper divisors (224448648228).

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

102022112220 is a wasteful number, since it uses less digits than its factorization.

102022112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242909810 (or 242909808 counting only the distinct ones).

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

Adding to 102022112220 its reverse (22211220201), we get a palindrome (124233332421).

The spelling of 102022112220 in words is "one hundred two billion, twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 242909791 485819582 728729373 971639164 1214548955 1457458746 1700368537 2429097910 2914917492 3400737074 3643646865 4858195820 5101105611 6801474148 7287293730 8501842685 10202211222 14574587460 17003685370 20404422444 25505528055 34007370740 51011056110 102022112220