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11312220420 = 22325225127919
BaseRepresentation
bin10101000100100001…
…01100100100000100
31002012100221100010200
422202100230210010
5141131412023140
65110300050500
7550220200314
oct124220544404
932170840120
1011312220420
1148854a96a6
122238533a30
1310b3813867
14794545444
154631b4030
hex2a242c904

11312220420 has 72 divisors (see below), whose sum is σ = 34330208640. Its totient is φ = 3015144000.

The previous prime is 11312220407. The next prime is 11312220421. The reversal of 11312220420 is 2402221311.

It is a happy number.

11312220420 is a `hidden beast` number, since 1 + 13 + 12 + 220 + 420 = 666.

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 = 11312220393 and 11312220402.

It is not an unprimeable number, because it can be changed into a prime (11312220421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391221 + ... + 419139.

Almost surely, 211312220420 is an apocalyptic number.

11312220420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312220420 is an abundant number, since it is smaller than the sum of its proper divisors (23017988220).

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

11312220420 is a wasteful number, since it uses less digits than its factorization.

11312220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30185 (or 30180 counting only the distinct ones).

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

Adding to 11312220420 its reverse (2402221311), we get a palindrome (13714441731).

The spelling of 11312220420 in words is "eleven billion, three hundred twelve million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2251 4502 6753 9004 11255 13506 20259 22510 27012 27919 33765 40518 45020 55838 67530 81036 83757 101295 111676 135060 139595 167514 202590 251271 279190 335028 405180 418785 502542 558380 837570 1005084 1256355 1675140 2512710 5025420 62845669 125691338 188537007 251382676 314228345 377074014 565611021 628456690 754148028 942685035 1131222042 1256913380 1885370070 2262444084 2828055105 3770740140 5656110210 11312220420