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2112100120 = 2351323176597
BaseRepresentation
bin111110111100100…
…0001011100011000
312110012021210200101
41331321001130120
513311144200440
6545325345144
7103224361204
oct17571013430
95405253611
102112100120
11994253099
124ab4081b4
132787665b0
14160719b04
15c565769a
hex7de41718

2112100120 has 64 divisors (see below), whose sum is σ = 5340323520. Its totient is φ = 745941504.

The previous prime is 2112100103. The next prime is 2112100127. The reversal of 2112100120 is 210012112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2112100097 and 2112100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112100127) 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, 76339 + ... + 100258.

It is an arithmetic number, because the mean of its divisors is an integer number (83442555).

Almost surely, 22112100120 is an apocalyptic number.

2112100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112100120 is an abundant number, since it is smaller than the sum of its proper divisors (3228223400).

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

2112100120 is a wasteful number, since it uses less digits than its factorization.

2112100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176644 (or 176640 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2112100120 is about 45957.5904503271. The cubic root of 2112100120 is about 1283.0340055629.

Adding to 2112100120 its reverse (210012112), we get a palindrome (2322112232).

The spelling of 2112100120 in words is "two billion, one hundred twelve million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 11960 176597 353194 706388 882985 1412776 1765970 2295761 3531940 4061731 4591522 7063880 8123462 9183044 11478805 16246924 18366088 20308655 22957610 32493848 40617310 45915220 52802503 81234620 91830440 105605006 162469240 211210012 264012515 422420024 528025030 1056050060 2112100120