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2114210120 = 235119674969
BaseRepresentation
bin111111000000100…
…0100100101001000
312110100021000001112
41332001010211020
513312214210440
6545442505452
7103251326621
oct17601044510
95410230045
102114210120
119954643a0
124b0065288
13279024b09
14160b08a48
15c5922965
hex7e044948

2114210120 has 64 divisors (see below), whose sum is σ = 5195836800. Its totient is φ = 767854080.

The previous prime is 2114210101. The next prime is 2114210129. The reversal of 2114210120 is 210124112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2114210095 and 2114210104.

It is not an unprimeable number, because it can be changed into a prime (2114210129) 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, 422996 + ... + 427964.

It is an arithmetic number, because the mean of its divisors is an integer number (81184950).

Almost surely, 22114210120 is an apocalyptic number.

2114210120 is a gapful number since it is divisible by the number (20) 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 2114210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597918400).

2114210120 is an abundant number, since it is smaller than the sum of its proper divisors (3081626680).

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

2114210120 is a wasteful number, since it uses less digits than its factorization.

2114210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2114210120 is about 45980.5406666777. The cubic root of 2114210120 is about 1283.4611161155.

Adding to 2114210120 its reverse (210124112), we get a palindrome (2324334232).

The spelling of 2114210120 in words is "two billion, one hundred fourteen million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 967 1934 3868 4835 4969 7736 9670 9938 10637 19340 19876 21274 24845 38680 39752 42548 49690 53185 54659 85096 99380 106370 109318 198760 212740 218636 273295 425480 437272 546590 1093180 2186360 4805023 9610046 19220092 24025115 38440184 48050230 52855253 96100460 105710506 192200920 211421012 264276265 422842024 528552530 1057105060 2114210120