Search a number
-
+
120122111021010 = 23572341323942491
BaseRepresentation
bin11011010100000000011011…
…110000011100111111010010
3120202022120011110012121212020
4123110000123300130333102
5111221040040410133020
61103251200323512310
734205351614554600
oct3324003360347722
9522276143177766
10120122111021010
113530255710469a
1211580577b28696
13520460aa903a7
142193d268d0870
15dd49b9aedc40
hex6d401bc1cfd2

120122111021010 has 96 divisors (see below), whose sum is σ = 335459596191552. Its totient is φ = 27448436695680.

The previous prime is 120122111020997. The next prime is 120122111021057. The reversal of 120122111021010 is 10120111221021.

It is a happy number.

It is a super-2 number, since 2×1201221110210102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6954136 + ... + 16988355.

It is an arithmetic number, because the mean of its divisors is an integer number (3494370793662).

Almost surely, 2120122111021010 is an apocalyptic number.

120122111021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120122111021010 is an abundant number, since it is smaller than the sum of its proper divisors (215337485170542).

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

120122111021010 is a wasteful number, since it uses less digits than its factorization.

120122111021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23945928 (or 23945921 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120122111021010 its reverse (10120111221021), we get a palindrome (130242222242031).

The spelling of 120122111021010 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred eleven million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 3413 6826 10239 17065 20478 23891 34130 47782 51195 71673 102390 119455 143346 167237 238910 334474 358365 501711 716730 836185 1003422 1672370 2508555 5017110 23942491 47884982 71827473 119712455 143654946 167597437 239424910 335194874 359137365 502792311 718274730 837987185 1005584622 1173182059 1675974370 2346364118 2513961555 3519546177 5027923110 5865910295 7039092354 11731820590 17597730885 35195461770 81715721783 163431443566 245147165349 408578608915 490294330698 572010052481 817157217830 1144020104962 1225735826745 1716030157443 2451471653490 2860050262405 3432060314886 4004070367367 5720100524810 8008140734734 8580150787215 12012211102101 17160301574430 20020351836835 24024422204202 40040703673670 60061055510505 120122111021010