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1003311022122 = 23336075151049
BaseRepresentation
bin11101001100110011111…
…11110100000000101010
310112220201110200202222000
432212121333310000222
5112414240110201442
62044525325111430
7132325660655523
oct16463177640052
93486643622860
101003311022122
11357557a08912
121425469b8576
13737c5239a26
14367bc09184a
151b172294d4c
hexe999ff402a

1003311022122 has 32 divisors (see below), whose sum is σ = 2230198608000. Its totient is φ = 334344223584.

The previous prime is 1003311022117. The next prime is 1003311022213. The reversal of 1003311022122 is 2212201133001.

1003311022122 is a `hidden beast` number, since 100 + 331 + 10 + 221 + 2 + 2 = 666.

It is a super-2 number, since 2×10033110221222 (a number of 25 digits) contains 22 as substring.

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 = 1003311022095 and 1003311022104.

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, 2380747 + ... + 2770302.

It is an arithmetic number, because the mean of its divisors is an integer number (69693706500).

Almost surely, 21003311022122 is an apocalyptic number.

1003311022122 is an abundant number, since it is smaller than the sum of its proper divisors (1226887585878).

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

1003311022122 is a wasteful number, since it uses less digits than its factorization.

1003311022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154667 (or 5154661 counting only the distinct ones).

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

Adding to 1003311022122 its reverse (2212201133001), we get a palindrome (3215512155123).

The spelling of 1003311022122 in words is "one trillion, three billion, three hundred eleven million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 3607 7214 10821 21642 32463 64926 97389 194778 5151049 10302098 15453147 30906294 46359441 92718882 139078323 278156646 18579833743 37159667486 55739501229 111479002458 167218503687 334437007374 501655511061 1003311022122