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11012131220 = 22537310331429
BaseRepresentation
bin10100100000101111…
…11100100110010100
31001102110021020010212
422100113330212110
5140023101144340
65020420104552
7536614366556
oct122027744624
931373236125
1011012131220
1147410741a2
122173b35158
1310665b429c
1476674b4d6
15446b88a65
hex2905fc994

11012131220 has 48 divisors (see below), whose sum is σ = 23226162960. Its totient is φ = 4385719296.

The previous prime is 11012131217. The next prime is 11012131223. The reversal of 11012131220 is 2213121011.

It is an interprime number because it is at equal distance from previous prime (11012131217) and next prime (11012131223).

It can be written as a sum of positive squares in 8 ways, for example, as 1406596 + 11010724624 = 1186^2 + 104932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11012131195 and 11012131204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012131223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7705466 + ... + 7706894.

It is an arithmetic number, because the mean of its divisors is an integer number (483878395).

Almost surely, 211012131220 is an apocalyptic number.

11012131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012131220 is an abundant number, since it is smaller than the sum of its proper divisors (12214031740).

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

11012131220 is a wasteful number, since it uses less digits than its factorization.

11012131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11012131220 its reverse (2213121011), we get a palindrome (13225252231).

The spelling of 11012131220 in words is "eleven billion, twelve million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 373 746 1033 1429 1492 1865 2066 2858 3730 4132 5165 5716 7145 7460 10330 14290 20660 28580 385309 533017 770618 1066034 1476157 1541236 1926545 2132068 2665085 2952314 3853090 5330170 5904628 7380785 7706180 10660340 14761570 29523140 550606561 1101213122 2202426244 2753032805 5506065610 11012131220