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11312420220 = 22325431461553
BaseRepresentation
bin10101000100100010…
…11101010101111100
31002012101022111012200
422202101131111330
5141131434421340
65110304231500
7550221661653
oct124221352574
932171274180
1011312420220
114885625822
12223860b590
1310b388379a
1479459819a
15463203330
hex2a245d57c

11312420220 has 72 divisors (see below), whose sum is σ = 35112373296. Its totient is φ = 2946488832.

The previous prime is 11312420191. The next prime is 11312420239. The reversal of 11312420220 is 2202421311.

It is a happy number.

11312420220 is a `hidden beast` number, since 1 + 13 + 12 + 420 + 220 = 666.

11312420220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11312420193 and 11312420202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 723037 + ... + 738516.

Almost surely, 211312420220 is an apocalyptic number.

11312420220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312420220 is an abundant number, since it is smaller than the sum of its proper divisors (23799953076).

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

11312420220 is a wasteful number, since it uses less digits than its factorization.

11312420220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461611 (or 1461606 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11312420220 its reverse (2202421311), we get a palindrome (13514841531).

The spelling of 11312420220 in words is "eleven billion, three hundred twelve million, four hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 1461553 2923106 4384659 5846212 7307765 8769318 13153977 14615530 17538636 21923295 26307954 29231060 43846590 52615908 62846779 65769885 87693180 125693558 131539770 188540337 251387116 263079540 314233895 377080674 565621011 628467790 754161348 942701685 1131242022 1256935580 1885403370 2262484044 2828105055 3770806740 5656210110 11312420220