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1122013031220 = 2232525724254497
BaseRepresentation
bin10000010100111101001…
…100000010101100110100
310222021010000110121200100
4100110331030002230310
5121340340313444340
62215240133114100
7144030346256064
oct20247514025464
93867100417610
101122013031220
113a2930118184
12161553a88930
1381a61540733
143c43cc7b3a4
151e2bd305830
hex1053d302b34

1122013031220 has 72 divisors (see below), whose sum is σ = 3416682624264. Its totient is φ = 298039246848.

The previous prime is 1122013031143. The next prime is 1122013031267. The reversal of 1122013031220 is 221303102211.

1122013031220 is a `hidden beast` number, since 1 + 1 + 220 + 130 + 312 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 700599132324 + 421413898896 = 837018^2 + 649164^2 .

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 = 1122013031193 and 1122013031202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12080989 + ... + 12173508.

It is an arithmetic number, because the mean of its divisors is an integer number (47453925337).

Almost surely, 21122013031220 is an apocalyptic number.

1122013031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122013031220 is an abundant number, since it is smaller than the sum of its proper divisors (2294669593044).

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

1122013031220 is a wasteful number, since it uses less digits than its factorization.

1122013031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24254769 (or 24254764 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1122013031220 its reverse (221303102211), we get a palindrome (1343316133431).

The spelling of 1122013031220 in words is "one trillion, one hundred twenty-two billion, thirteen million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 514 771 1028 1285 1542 2313 2570 3084 3855 4626 5140 7710 9252 11565 15420 23130 46260 24254497 48508994 72763491 97017988 121272485 145526982 218290473 242544970 291053964 363817455 436580946 485089940 727634910 873161892 1091452365 1455269820 2182904730 4365809460 6233405729 12466811458 18700217187 24933622916 31167028645 37400434374 56100651561 62334057290 74800868748 93501085935 112201303122 124668114580 187002171870 224402606244 280503257805 374004343740 561006515610 1122013031220