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102751220 = 225111337971
BaseRepresentation
bin1100001111111…
…01101111110100
321011100022011202
412013331233310
5202301014340
614110152032
72355241145
oct607755764
9234308152
10102751220
1153000570
122a4b2618
1318397b50
14d909acc
159049c15
hex61fdbf4

102751220 has 96 divisors (see below), whose sum is σ = 260620416. Its totient is φ = 33523200.

The previous prime is 102751219. The next prime is 102751237. The reversal of 102751220 is 22157201.

It is a super-2 number, since 2×1027512202 = 21115626422976800, 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 = 102751192 and 102751201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105335 + ... + 106305.

It is an arithmetic number, because the mean of its divisors is an integer number (2714796).

Almost surely, 2102751220 is an apocalyptic number.

102751220 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 102751220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130310208).

102751220 is an abundant number, since it is smaller than the sum of its proper divisors (157869196).

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

102751220 is a wasteful number, since it uses less digits than its factorization.

102751220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 102751220 is about 10136.6276443401. The cubic root of 102751220 is about 468.3771097856.

The spelling of 102751220 in words is "one hundred two million, seven hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 37 44 52 55 65 74 110 130 143 148 185 220 260 286 370 407 481 572 715 740 814 962 971 1430 1628 1924 1942 2035 2405 2860 3884 4070 4810 4855 5291 8140 9620 9710 10582 10681 12623 19420 21164 21362 25246 26455 35927 42724 50492 52910 53405 63115 71854 105820 106810 126230 138853 143708 179635 213620 252460 277706 359270 395197 467051 555412 694265 718540 790394 934102 1388530 1580788 1868204 1975985 2335255 2777060 3951970 4670510 5137561 7903940 9341020 10275122 20550244 25687805 51375610 102751220