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100203003131 = 7111453789519
BaseRepresentation
bin101110101010010010…
…0000111110011111011
3100120122022121222012012
41131110210013303323
53120203432100011
6114011014040135
710145060321240
oct1352444076373
9316568558165
10100203003131
113954aa8a390
121750594904b
1395ab8a893a
144bc7dc55c7
152916e88a8b
hex1754907cfb

100203003131 has 16 divisors (see below), whose sum is σ = 124938408960. Its totient is φ = 78074018880.

The previous prime is 100203003091. The next prime is 100203003133. The reversal of 100203003131 is 131300302001.

It is not a de Polignac number, because 100203003131 - 230 = 99129261307 is a prime.

It is a super-2 number, since 2×1002030031312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100203003133) 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, 1074590 + ... + 1164108.

It is an arithmetic number, because the mean of its divisors is an integer number (7808650560).

Almost surely, 2100203003131 is an apocalyptic number.

100203003131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100203003131 is a deficient number, since it is larger than the sum of its proper divisors (24735405829).

100203003131 is a wasteful number, since it uses less digits than its factorization.

100203003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104074.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100203003131 its reverse (131300302001), we get a palindrome (231503305132).

The spelling of 100203003131 in words is "one hundred billion, two hundred three million, three thousand, one hundred thirty-one".

Divisors: 1 7 11 77 14537 89519 101759 159907 626633 984709 1119349 6892963 1301337703 9109363921 14314714733 100203003131