Search a number
-
+
2211012202120 = 235239244194747
BaseRepresentation
bin100000001011001010100…
…110001100111010001000
321211101000020112100212021
4200023022212030322020
5242211123110431440
64411420332454224
7315511641425431
oct40131246147210
97741006470767
102211012202120
11782759824477
122b861361a374
13130661190b77
14790292da488
153c7a810184a
hex202ca98ce88

2211012202120 has 64 divisors (see below), whose sum is σ = 4997691705600. Its totient is φ = 880334353920.

The previous prime is 2211012202109. The next prime is 2211012202127. The reversal of 2211012202120 is 212022101122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2211012202094 and 2211012202103.

It is not an unprimeable number, because it can be changed into a prime (2211012202127) 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, 23288587 + ... + 23383333.

It is an arithmetic number, because the mean of its divisors is an integer number (78088932900).

Almost surely, 22211012202120 is an apocalyptic number.

2211012202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211012202120 is an abundant number, since it is smaller than the sum of its proper divisors (2786679503480).

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

2211012202120 is a wasteful number, since it uses less digits than its factorization.

2211012202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97438 (or 97434 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2211012202120 its reverse (212022101122), we get a palindrome (2423034303242).

The spelling of 2211012202120 in words is "two trillion, two hundred eleven billion, twelve million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 239 478 956 1195 1912 2390 2441 4780 4882 9560 9764 12205 19528 24410 48820 94747 97640 189494 378988 473735 583399 757976 947470 1166798 1894940 2333596 2916995 3789880 4667192 5833990 11667980 22644533 23335960 45289066 90578132 113222665 181156264 226445330 231277427 452890660 462554854 905781320 925109708 1156387135 1850219416 2312774270 4625548540 9251097080 55275305053 110550610106 221101220212 276376525265 442202440424 552753050530 1105506101060 2211012202120