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1100103210031 = 72197917983561
BaseRepresentation
bin10000000000100011010…
…000101101010000101111
310220011120002021101021111
4100000203100231100233
5121011002410210111
62201214101412451
7142323403666300
oct20004320552057
93804502241244
101100103210031
11394607645241
1215925a40a127
137c97c2a3bb7
143b3610927a7
151d939a8ba21
hex1002342d42f

1100103210031 has 48 divisors (see below), whose sum is σ = 1371753792000. Its totient is φ = 877071162240.

The previous prime is 1100103210023. The next prime is 1100103210053. The reversal of 1100103210031 is 1300123010011.

It is not a de Polignac number, because 1100103210031 - 23 = 1100103210023 is a prime.

It is a super-2 number, since 2×11001032100312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100103209993 and 1100103210020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100103210071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13123491 + ... + 13207051.

It is an arithmetic number, because the mean of its divisors is an integer number (28578204000).

Almost surely, 21100103210031 is an apocalyptic number.

1100103210031 is a deficient number, since it is larger than the sum of its proper divisors (271650581969).

1100103210031 is a wasteful number, since it uses less digits than its factorization.

1100103210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83852 (or 83845 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1100103210031 its reverse (1300123010011), we get a palindrome (2400226220042).

The spelling of 1100103210031 in words is "one trillion, one hundred billion, one hundred three million, two hundred ten thousand, thirty-one".

Divisors: 1 7 19 49 79 133 179 553 931 1253 1501 3401 3871 8771 10507 14141 23807 73549 83561 98987 166649 268679 584927 692909 1587659 1880753 4094489 6601319 11113613 13165271 14957419 46209233 77795291 104701933 125425061 284190961 323464631 732913531 877975427 1181636101 1989336727 6145827989 8271452707 13925357089 22451085919 57900168949 157157601433 1100103210031