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120331104 = 25319371783
BaseRepresentation
bin1110010110000…
…01101101100000
322101102110020120
413023001231200
5221301043404
615535040240
72660540355
oct713015540
9271373216
10120331104
1161a185a3
1234370080
131bc1184a
1411da462c
15a86d9d9
hex72c1b60

120331104 has 96 divisors (see below), whose sum is σ = 341671680. Its totient is φ = 36951552.

The previous prime is 120331091. The next prime is 120331109. The reversal of 120331104 is 401133021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120331109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66597 + ... + 68379.

It is an arithmetic number, because the mean of its divisors is an integer number (3559080).

Almost surely, 2120331104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170835840).

120331104 is an abundant number, since it is smaller than the sum of its proper divisors (221340576).

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

120331104 is a wasteful number, since it uses less digits than its factorization.

120331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 120331104 is about 10969.5535004849. The cubic root of 120331104 is about 493.6956497565.

Adding to 120331104 its reverse (401133021), we get a palindrome (521464125).

The spelling of 120331104 in words is "one hundred twenty million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 74 76 96 111 114 148 152 222 228 296 304 444 456 592 608 703 888 912 1184 1406 1776 1783 1824 2109 2812 3552 3566 4218 5349 5624 7132 8436 10698 11248 14264 16872 21396 22496 28528 33744 33877 42792 57056 65971 67488 67754 85584 101631 131942 135508 171168 197913 203262 263884 271016 395826 406524 527768 542032 791652 813048 1055536 1084064 1253449 1583304 1626096 2111072 2506898 3166608 3252192 3760347 5013796 6333216 7520694 10027592 15041388 20055184 30082776 40110368 60165552 120331104