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1122020102021 = 7213101149311681
BaseRepresentation
bin10000010100111101100…
…111000000111110000101
310222021010111202211222212
4100110331213000332011
5121340344121231041
62215240544433205
7144030463335500
oct20247547007605
93867114684885
101122020102021
113a2934107615
12161556318805
1381a62b47c40
143c43db9c137
151e2bdc508eb
hex1053d9c0f85

1122020102021 has 48 divisors (see below), whose sum is σ = 1420596899568. Its totient is φ = 878298624000.

The previous prime is 1122020101957. The next prime is 1122020102033. The reversal of 1122020102021 is 1202010202211.

It can be written as a sum of positive squares in 8 ways, for example, as 105631500100 + 1016388601921 = 325010^2 + 1008161^2 .

It is not a de Polignac number, because 1122020102021 - 26 = 1122020101957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1122020101987 and 1122020102005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122020102521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96049301 + ... + 96060981.

It is an arithmetic number, because the mean of its divisors is an integer number (29595768741).

Almost surely, 21122020102021 is an apocalyptic number.

It is an amenable number.

1122020102021 is a deficient number, since it is larger than the sum of its proper divisors (298576797547).

1122020102021 is a wasteful number, since it uses less digits than its factorization.

1122020102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13302 (or 13295 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1122020102021 its reverse (1202010202211), we get a palindrome (2324030304232).

The spelling of 1122020102021 in words is "one trillion, one hundred twenty-two billion, twenty million, one hundred two thousand, twenty-one".

Divisors: 1 7 13 49 91 101 637 707 1313 1493 4949 9191 10451 11681 19409 64337 73157 81767 135863 150793 151853 572369 951041 1055551 1062971 1179781 1960309 7388857 7440797 8258467 13722163 15337153 17439733 57809269 96055141 107360071 122078131 226716529 751520497 854546917 1587015703 1761413033 11109109921 12329891231 22898369429 86309238617 160288586003 1122020102021