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102355220 = 225111034517
BaseRepresentation
bin1100001100111…
…01000100010100
321010121011222002
412012131010110
5202200331340
614053454432
72352001502
oct606350424
9233534862
10102355220
115285aaa0
122a341418
1318289826
14d845672
158ebc715
hex619d114

102355220 has 48 divisors (see below), whose sum is σ = 236815488. Its totient is φ = 36850560.

The previous prime is 102355219. The next prime is 102355247. The reversal of 102355220 is 22553201.

It is a super-2 number, since 2×1023552202 = 20953182122496800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102355192 and 102355201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20402 + ... + 24918.

It is an arithmetic number, because the mean of its divisors is an integer number (4933656).

Almost surely, 2102355220 is an apocalyptic number.

102355220 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 102355220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118407744).

102355220 is an abundant number, since it is smaller than the sum of its proper divisors (134460268).

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

102355220 is a wasteful number, since it uses less digits than its factorization.

102355220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 102355220 is about 10117.0756644398. The cubic root of 102355220 is about 467.7746315487.

The spelling of 102355220 in words is "one hundred two million, three hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 4517 4532 5665 9034 11330 18068 22585 22660 45170 49687 90340 99374 198748 248435 465251 496870 930502 993740 1861004 2326255 4652510 5117761 9305020 10235522 20471044 25588805 51177610 102355220