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2112120210 = 235313761381
BaseRepresentation
bin111110111100100…
…0110010110010010
312110012022211020110
41331321012112102
513311200321320
6545330022150
7103224503604
oct17571062622
95405284213
102112120210
119942671a2
124ab417956
13278772795
14160723174
15c565d5e0
hex7de46592

2112120210 has 64 divisors (see below), whose sum is σ = 5374116864. Its totient is φ = 530323200.

The previous prime is 2112120191. The next prime is 2112120223. The reversal of 2112120210 is 120212112.

It is a super-2 number, since 2×21121202102 = 8922103562980888200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3720 + ... + 65100.

It is an arithmetic number, because the mean of its divisors is an integer number (83970576).

Almost surely, 22112120210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687058432).

2112120210 is an abundant number, since it is smaller than the sum of its proper divisors (3261996654).

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

2112120210 is a wasteful number, since it uses less digits than its factorization.

2112120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61459.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2112120210 is about 45957.8090208835. The cubic root of 2112120210 is about 1283.0380735631.

Adding to 2112120210 its reverse (120212112), we get a palindrome (2232332322).

The spelling of 2112120210 in words is "two billion, one hundred twelve million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 370 465 555 930 1110 1147 2294 3441 5735 6882 11470 17205 34410 61381 122762 184143 306905 368286 613810 920715 1841430 1902811 2271097 3805622 4542194 5708433 6813291 9514055 11355485 11416866 13626582 19028110 22710970 28542165 34066455 57084330 68132910 70404007 140808014 211212021 352020035 422424042 704040070 1056060105 2112120210