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102331120 = 2459713187
BaseRepresentation
bin1100001100101…
…11001011110000
321010112221220111
412012113023300
5202144043440
614053151104
72351541313
oct606271360
9233487814
10102331120
1152843981
122a32b494
131827b878
14d83a97a
158eb54ea
hex61972f0

102331120 has 40 divisors (see below), whose sum is σ = 240390864. Its totient is φ = 40507392.

The previous prime is 102331091. The next prime is 102331127. The reversal of 102331120 is 21133201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 102331120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102331127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1167 + ... + 14353.

Almost surely, 2102331120 is an apocalyptic number.

102331120 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 102331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120195432).

102331120 is an abundant number, since it is smaller than the sum of its proper divisors (138059744).

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

102331120 is a wasteful number, since it uses less digits than its factorization.

102331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13297 (or 13291 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 102331120 is about 10115.8845386847. The cubic root of 102331120 is about 467.7379154486.

Adding to 102331120 its reverse (21133201), we get a palindrome (123464321).

The spelling of 102331120 in words is "one hundred two million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 13187 26374 52748 65935 105496 131870 210992 263740 527480 1054960 1279139 2558278 5116556 6395695 10233112 12791390 20466224 25582780 51165560 102331120