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1311003220 = 2252312722441
BaseRepresentation
bin100111000100100…
…0101001001010100
310101100212212022211
41032021011021110
510141104100340
6334031203204
744326225552
oct11611051124
93340785284
101311003220
1161303313a
12307076504
1317b7bb367
14c6186bd2
157a1655ea
hex4e245254

1311003220 has 48 divisors (see below), whose sum is σ = 2895556608. Its totient is φ = 497629440.

The previous prime is 1311003179. The next prime is 1311003247. The reversal of 1311003220 is 223001131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311003220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47200 + ... + 69640.

It is an arithmetic number, because the mean of its divisors is an integer number (60324096).

Almost surely, 21311003220 is an apocalyptic number.

1311003220 is a gapful number since it is divisible by the number (10) 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 1311003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447778304).

1311003220 is an abundant number, since it is smaller than the sum of its proper divisors (1584553388).

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

1311003220 is a wasteful number, since it uses less digits than its factorization.

1311003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22600 (or 22598 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1311003220 is about 36207.7784460743. The cubic root of 1311003220 is about 1094.4634249664.

Adding to 1311003220 its reverse (223001131), we get a palindrome (1534004351).

The spelling of 1311003220 in words is "one billion, three hundred eleven million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 127 230 254 460 508 635 1270 2540 2921 5842 11684 14605 22441 29210 44882 58420 89764 112205 224410 448820 516143 1032286 2064572 2580715 2850007 5161430 5700014 10322860 11400028 14250035 28500070 57000140 65550161 131100322 262200644 327750805 655501610 1311003220