Search a number
-
+
3113033200020 = 22325119783144383
BaseRepresentation
bin101101010011001111001…
…111001111000110010100
3102000121021122011210000200
4231103033033033012110
5402000442444400040
610342035133140500
7440623602414222
oct55231717170624
912017248153020
103113033200020
11aa02590a2967
124233b062a730
13197733566a03
14aa958c85b12
1555e9cc8c630
hex2d4cf3cf194

3113033200020 has 72 divisors (see below), whose sum is σ = 9443011608576. Its totient is φ = 830129506752.

The previous prime is 3113033199953. The next prime is 3113033200073. The reversal of 3113033200020 is 200023303113.

3113033200020 is a `hidden beast` number, since 311 + 3 + 0 + 332 + 0 + 0 + 0 + 20 = 666.

It is a super-2 number, since 2×31130332000202 (a number of 26 digits) contains 22 as substring.

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 = 3113033199966 and 3113033200002.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 21488749 + ... + 21633131.

It is an arithmetic number, because the mean of its divisors is an integer number (131152939008).

Almost surely, 23113033200020 is an apocalyptic number.

3113033200020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3113033200020 is an abundant number, since it is smaller than the sum of its proper divisors (6329978408556).

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

3113033200020 is a wasteful number, since it uses less digits than its factorization.

3113033200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264181 (or 264176 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3113033200020 its reverse (200023303113), we get a palindrome (3313056503133).

The spelling of 3113033200020 in words is "three trillion, one hundred thirteen billion, thirty-three million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 119783 144383 239566 288766 359349 433149 479132 577532 598915 718698 721915 866298 1078047 1197830 1299447 1437396 1443830 1732596 1796745 2156094 2165745 2395660 2598894 2887660 3593490 4312188 4331490 5197788 5390235 6497235 7186980 8662980 10780470 12994470 21560940 25988940 17294628889 34589257778 51883886667 69178515556 86473144445 103767773334 155651660001 172946288890 207535546668 259419433335 311303320002 345892577780 518838866670 622606640004 778258300005 1037677733340 1556516600010 3113033200020