Search a number
-
+
2113434120 = 2335723109391
BaseRepresentation
bin111110111111000…
…0111001000001000
312110021210120120210
41331332013020020
513312014342440
6545414121120
7103241615340
oct17576071010
95407716523
102113434120
11994a84376
124ab9501a0
13278b12845
14160985d20
15c581ca80
hex7df87208

2113434120 has 128 divisors (see below), whose sum is σ = 7561175040. Its totient is φ = 462063360.

The previous prime is 2113434119. The next prime is 2113434137. The reversal of 2113434120 is 214343112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35376 + ... + 74015.

It is an arithmetic number, because the mean of its divisors is an integer number (59071680).

Almost surely, 22113434120 is an apocalyptic number.

2113434120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113434120 is an abundant number, since it is smaller than the sum of its proper divisors (5447740920).

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

2113434120 is a wasteful number, since it uses less digits than its factorization.

2113434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109435 (or 109431 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2113434120 is about 45972.1015399557. The cubic root of 2113434120 is about 1283.3040696462.

Adding to 2113434120 its reverse (214343112), we get a palindrome (2327777232).

The spelling of 2113434120 in words is "two billion, one hundred thirteen million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 19320 109391 218782 328173 437564 546955 656346 765737 875128 1093910 1312692 1531474 1640865 2187820 2297211 2515993 2625384 3062948 3281730 3828685 4375640 4594422 5031986 6125896 6563460 7547979 7657370 9188844 10063972 11486055 12579965 13126920 15095958 15314740 17611951 18377688 20127944 22972110 25159930 30191916 30629480 35223902 37739895 45944220 50319860 52835853 60383832 70447804 75479790 88059755 91888440 100639720 105671706 140895608 150959580 176119510 211343412 264179265 301919160 352239020 422686824 528358530 704478040 1056717060 2113434120