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102321120 = 25351119379
BaseRepresentation
bin1100001100101…
…00101111100000
321010112110012010
412012110233200
5202143233440
614053032520
72351500206
oct606245740
9233473163
10102321120
1152837410
122a325740
1318277155
14d837076
158eb2580
hex6194be0

102321120 has 96 divisors (see below), whose sum is σ = 351630720. Its totient is φ = 24803840.

The previous prime is 102321119. The next prime is 102321133. The reversal of 102321120 is 21123201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1023211202 = 20939223196108800, which contains 22 as substring.

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 = 102321096 and 102321105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4410 + ... + 14969.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2102321120 is an apocalyptic number.

102321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102321120 is an abundant number, since it is smaller than the sum of its proper divisors (249309600).

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

102321120 is a wasteful number, since it uses less digits than its factorization.

102321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19408 (or 19400 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102321120 is about 10115.3902544588. The cubic root of 102321120 is about 467.7226788600.

Adding to 102321120 its reverse (21123201), we get a palindrome (123444321).

The spelling of 102321120 in words is "one hundred two million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 19379 38758 58137 77516 96895 116274 155032 193790 213169 232548 290685 310064 387580 426338 465096 581370 620128 639507 775160 852676 930192 1065845 1162740 1279014 1550320 1705352 1860384 2131690 2325480 2558028 3100640 3197535 3410704 4263380 4650960 5116056 6395070 6821408 8526760 9301920 10232112 12790140 17053520 20464224 25580280 34107040 51160560 102321120