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3310113120 = 253519362951
BaseRepresentation
bin1100010101001100…
…0101000101100000
322112200120011120020
43011103011011200
523234342104440
61304243113440
7145012332366
oct30523050540
98480504506
103310113120
111449521a86
12784672880
13409a13522
1423588d636
151458ee3d0
hexc54c5160

3310113120 has 96 divisors (see below), whose sum is σ = 10975668480. Its totient is φ = 836236800.

The previous prime is 3310113083. The next prime is 3310113127. The reversal of 3310113120 is 213110133.

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

It is a super-2 number, since 2×33101131202 = 21913697734392268800, which contains 22 as substring.

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 3310113120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3310113127) 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, 172356 + ... + 190595.

It is an arithmetic number, because the mean of its divisors is an integer number (114329880).

Almost surely, 23310113120 is an apocalyptic number.

3310113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3310113120 is an abundant number, since it is smaller than the sum of its proper divisors (7665555360).

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

3310113120 is a wasteful number, since it uses less digits than its factorization.

3310113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362988 (or 362980 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3310113120 is about 57533.5825409821. The cubic root of 3310113120 is about 1490.3248574743.

Adding to 3310113120 its reverse (213110133), we get a palindrome (3523223253).

The spelling of 3310113120 in words is "three billion, three hundred ten million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 362951 725902 1088853 1451804 1814755 2177706 2903608 3629510 4355412 5444265 5807216 6896069 7259020 8710824 10888530 11614432 13792138 14518040 17421648 20688207 21777060 27584276 29036080 34480345 34843296 41376414 43554120 55168552 58072160 68960690 82752828 87108240 103441035 110337104 137921380 165505656 174216480 206882070 220674208 275842760 331011312 413764140 551685520 662022624 827528280 1103371040 1655056560 3310113120