Search a number
-
+
2113110120 = 2335112145531
BaseRepresentation
bin111110111110011…
…1000000001101000
312110021012010010210
41331330320001220
513311424010440
6545403141120
7103236065622
oct17574700150
95407163123
102113110120
11994882a00
124ab8147a0
13278a2b224
141608ddc12
15c57a6a80
hex7df38068

2113110120 has 96 divisors (see below), whose sum is σ = 6968072160. Its totient is φ = 512265600.

The previous prime is 2113110107. The next prime is 2113110127. The reversal of 2113110120 is 210113112.

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 = 2113110096 and 2113110105.

It is not an unprimeable number, because it can be changed into a prime (2113110127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58246 + ... + 87285.

It is an arithmetic number, because the mean of its divisors is an integer number (72584085).

Almost surely, 22113110120 is an apocalyptic number.

2113110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113110120 is an abundant number, since it is smaller than the sum of its proper divisors (4854962040).

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

2113110120 is a wasteful number, since it uses less digits than its factorization.

2113110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145567 (or 145552 counting only the distinct ones).

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

The square root of 2113110120 is about 45968.5775285684. The cubic root of 2113110120 is about 1283.2384873216.

Adding to 2113110120 its reverse (210113112), we get a palindrome (2323223232).

The spelling of 2113110120 in words is "two billion, one hundred thirteen million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 145531 291062 436593 582124 727655 873186 1164248 1455310 1600841 1746372 2182965 2910620 3201682 3492744 4365930 4802523 5821240 6403364 8004205 8731860 9605046 12806728 16008410 17463720 17609251 19210092 24012615 32016820 35218502 38420184 48025230 52827753 64033640 70437004 88046255 96050460 105655506 140874008 176092510 192100920 211311012 264138765 352185020 422622024 528277530 704370040 1056555060 2113110120