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102107220 = 22354141507
BaseRepresentation
bin1100001011000…
…00100001010100
321010010120202220
412011200201110
5202114412340
614044302340
72346616455
oct605404124
9233116686
10102107220
1152700736
122a2419b0
1318200997
14d7bd12c
158e6ded0
hex6160854

102107220 has 48 divisors (see below), whose sum is σ = 292880448. Its totient is φ = 26563840.

The previous prime is 102107191. The next prime is 102107227. The reversal of 102107220 is 22701201.

It is a super-2 number, since 2×1021072202 = 20851768752256800, which 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 102107220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102107227) 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, 18294 + ... + 23213.

It is an arithmetic number, because the mean of its divisors is an integer number (6101676).

Almost surely, 2102107220 is an apocalyptic number.

102107220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102107220 is an abundant number, since it is smaller than the sum of its proper divisors (190773228).

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

102107220 is a wasteful number, since it uses less digits than its factorization.

102107220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41560 (or 41558 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 102107220 is about 10104.8117251139. The cubic root of 102107220 is about 467.3965302387.

Adding to 102107220 its reverse (22701201), we get a palindrome (124808421).

The spelling of 102107220 in words is "one hundred two million, one hundred seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 41507 83014 124521 166028 207535 249042 415070 498084 622605 830140 1245210 1701787 2490420 3403574 5105361 6807148 8508935 10210722 17017870 20421444 25526805 34035740 51053610 102107220