Search a number
-
+
120310268690220 = 22357286453020691
BaseRepresentation
bin11011010110101111101010…
…110100111111111100101100
3120202222112211111001120111120
4123112233222310333330230
5111232130412241041340
61103513435135420540
734225062420426060
oct3326575264777454
9522875744046446
10120310268690220
1135375331214454
12115b0b29684750
13521929580062b
14219d095cb7aa0
15dd982d5994d0
hex6d6bead3ff2c

120310268690220 has 48 divisors (see below), whose sum is σ = 384992859810048. Its totient is φ = 27499489986240.

The previous prime is 120310268690219. The next prime is 120310268690221. The reversal of 120310268690220 is 22096862013021.

It is an interprime number because it is at equal distance from previous prime (120310268690219) and next prime (120310268690221).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (120310268690221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143226509926 + ... + 143226510765.

It is an arithmetic number, because the mean of its divisors is an integer number (8020684579376).

Almost surely, 2120310268690220 is an apocalyptic number.

120310268690220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120310268690220 is an abundant number, since it is smaller than the sum of its proper divisors (264682591119828).

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

120310268690220 is a wasteful number, since it uses less digits than its factorization.

120310268690220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286453020710 (or 286453020708 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 120310268690220 in words is "one hundred twenty trillion, three hundred ten billion, two hundred sixty-eight million, six hundred ninety thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 286453020691 572906041382 859359062073 1145812082764 1432265103455 1718718124146 2005171144837 2864530206910 3437436248292 4010342289674 4296795310365 5729060413820 6015513434511 8020684579348 8593590620730 10025855724185 12031026869022 17187181241460 20051711448370 24062053738044 30077567172555 40103422896740 60155134345110 120310268690220