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114213202120 = 23529103955919
BaseRepresentation
bin110101001011110100…
…0110010100011001000
3101220210201021211011001
41222113220302203020
53332402034431440
6124245133144344
711152211125363
oct1522750624310
9356721254131
10114213202120
114448a414236
121a17592b0b4
13aa02348b04
1457569950da
152e86e33b9a
hex1a97a328c8

114213202120 has 64 divisors (see below), whose sum is σ = 268422336000. Its totient is φ = 43681628928.

The previous prime is 114213202109. The next prime is 114213202151. The reversal of 114213202120 is 21202312411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358480 + ... + 597439.

It is an arithmetic number, because the mean of its divisors is an integer number (4194099000).

Almost surely, 2114213202120 is an apocalyptic number.

114213202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114213202120 is an abundant number, since it is smaller than the sum of its proper divisors (154209133880).

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

114213202120 is a wasteful number, since it uses less digits than its factorization.

114213202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956062 (or 956058 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 114213202120 its reverse (21202312411), we get a palindrome (135415514531).

The spelling of 114213202120 in words is "one hundred fourteen billion, two hundred thirteen million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 103 116 145 206 232 290 412 515 580 824 1030 1160 2060 2987 4120 5974 11948 14935 23896 29870 59740 119480 955919 1911838 3823676 4779595 7647352 9559190 19118380 27721651 38236760 55443302 98459657 110886604 138608255 196919314 221773208 277216510 393838628 492298285 554433020 787677256 984596570 1108866040 1969193140 2855330053 3938386280 5710660106 11421320212 14276650265 22842640424 28553300530 57106601060 114213202120