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102331320 = 23357139371
BaseRepresentation
bin1100001100101…
…11001110111000
321010112222011220
412012113032320
5202144100240
614053152040
72351542020
oct606271670
9233488156
10102331320
1152844043
122a32b620
131827b9a0
14d83aa80
158eb55d0
hex61973b8

102331320 has 128 divisors (see below), whose sum is σ = 377879040. Its totient is φ = 21588480.

The previous prime is 102331319. The next prime is 102331379. The reversal of 102331320 is 23133201.

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 102331320.

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, 6235 + ... + 15605.

It is an arithmetic number, because the mean of its divisors is an integer number (2952180).

Almost surely, 2102331320 is an apocalyptic number.

102331320 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 102331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188939520).

102331320 is an abundant number, since it is smaller than the sum of its proper divisors (275547720).

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

102331320 is a wasteful number, since it uses less digits than its factorization.

102331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9405 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 102331320 is about 10115.8944241229. The cubic root of 102331320 is about 467.7382201702.

Adding to 102331320 its reverse (23133201), we get a palindrome (125464521).

The spelling of 102331320 in words is "one hundred two million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 9371 10920 18742 28113 37484 46855 56226 65597 74968 93710 112452 121823 131194 140565 187420 196791 224904 243646 262388 281130 327985 365469 374840 393582 487292 524776 562260 609115 655970 730938 787164 852761 974584 983955 1124520 1218230 1311940 1461876 1574328 1705522 1827345 1967910 2436460 2558283 2623880 2923752 3411044 3654690 3935820 4263805 4872920 5116566 6822088 7309380 7871640 8527610 10233132 12791415 14618760 17055220 20466264 25582830 34110440 51165660 102331320