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102232020 = 223511154897
BaseRepresentation
bin1100001011111…
…10111111010100
321010100220222010
412011332333110
5202132411040
614051104220
72350646352
oct605767724
9233326863
10102232020
1152786480
122a2a2070
1318245727
14d8127d2
158e95e80
hex617efd4

102232020 has 48 divisors (see below), whose sum is σ = 312274368. Its totient is φ = 24783360.

The previous prime is 102232019. The next prime is 102232021. The reversal of 102232020 is 20232201.

It is an interprime number because it is at equal distance from previous prime (102232019) and next prime (102232021).

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 = 102231987 and 102232005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76789 + ... + 78108.

It is an arithmetic number, because the mean of its divisors is an integer number (6505716).

Almost surely, 2102232020 is an apocalyptic number.

102232020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102232020 is an abundant number, since it is smaller than the sum of its proper divisors (210042348).

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

102232020 is a wasteful number, since it uses less digits than its factorization.

102232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154920 (or 154918 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102232020 is about 10110.9851152101. The cubic root of 102232020 is about 467.5868770074.

Adding to 102232020 its reverse (20232201), we get a palindrome (122464221).

The spelling of 102232020 in words is "one hundred two million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 154897 309794 464691 619588 774485 929382 1548970 1703867 1858764 2323455 3097940 3407734 4646910 5111601 6815468 8519335 9293820 10223202 17038670 20446404 25558005 34077340 51116010 102232020