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10021132313103 = 31773236872357
BaseRepresentation
bin1001000111010011101000…
…0010000010001000001111
31022111000021221101222122110
42101310322002002020033
52303141234333004403
633151351123515103
72053001000135502
oct221647202021017
938430257358573
1010021132313103
113213a35a3869a
12115a1b4b28a93
13578cb12b88c2
1426904d965139
15125a152c9103
hex91d3a08220f

10021132313103 has 24 divisors (see below), whose sum is σ = 14343937219728. Its totient is φ = 6201635300352.

The previous prime is 10021132313081. The next prime is 10021132313219. The reversal of 10021132313103 is 30131323112001.

It is a happy number.

It is not a de Polignac number, because 10021132313103 - 28 = 10021132312847 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10021132313103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021132313503) by changing a digit.

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, 18164400 + ... + 18707957.

It is an arithmetic number, because the mean of its divisors is an integer number (597664050822).

Almost surely, 210021132313103 is an apocalyptic number.

10021132313103 is a deficient number, since it is larger than the sum of its proper divisors (4322804906625).

10021132313103 is an equidigital number, since it uses as much as digits as its factorization.

10021132313103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36872523 (or 36872450 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10021132313103 its reverse (30131323112001), we get a palindrome (40152455425104).

The spelling of 10021132313103 in words is "ten trillion, twenty-one billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred three".

Divisors: 1 3 17 51 73 219 1241 3723 5329 15987 90593 271779 36872357 110617071 626830069 1880490207 2691682061 8075046183 45758595037 137275785111 196492790453 589478371359 3340377437701 10021132313103