Search a number
-
+
2113133031020 = 2251179922713177
BaseRepresentation
bin11110110000000000100…
…010110010111001101100
321111000100212121021221002
4132300000202302321230
5234110144023443040
64254432050255432
7305445256254524
oct36600042627154
97430325537832
102113133031020
117451a1563530
122a1657b87578
13124362b82a8b
14743c1bc8684
1539e7a195a15
hex1ec008b2e6c

2113133031020 has 96 divisors (see below), whose sum is σ = 4903177466880. Its totient is φ = 758545482240.

The previous prime is 2113133031019. The next prime is 2113133031029. The reversal of 2113133031020 is 201303313112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2113133030983 and 2113133031001.

It is not an unprimeable number, because it can be changed into a prime (2113133031029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160358672 + ... + 160371848.

It is an arithmetic number, because the mean of its divisors is an integer number (51074765280).

Almost surely, 22113133031020 is an apocalyptic number.

2113133031020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113133031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451588733440).

2113133031020 is an abundant number, since it is smaller than the sum of its proper divisors (2790044435860).

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

2113133031020 is a wasteful number, since it uses less digits than its factorization.

2113133031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22503 (or 22501 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2113133031020 its reverse (201303313112), we get a palindrome (2314436344132).

The spelling of 2113133031020 in words is "two trillion, one hundred thirteen billion, one hundred thirty-three million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8690 9227 13177 17380 18454 26354 36908 46135 52708 65885 92270 101497 131770 144947 184540 202994 263540 289894 405988 507485 579788 724735 728933 1014970 1040983 1449470 1457866 2029940 2081966 2898940 2915732 3644665 4163932 5204915 7289330 8018263 10409830 11450813 14578660 16036526 20819660 22901626 32073052 40091315 45803252 57254065 80182630 114508130 121584179 160365260 229016260 243168358 486336716 607920895 1215841790 1337425969 2431683580 2674851938 5349703876 6687129845 9605150141 13374259690 19210300282 26748519380 38420600564 48025750705 96051501410 105656651551 192103002820 211313303102 422626606204 528283257755 1056566515510 2113133031020