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10012021311131 = 723239925921829
BaseRepresentation
bin1001000110110001101011…
…1110010100011010011011
31022110010202222110010112222
42101230122332110122123
52303014104423424011
633143243055254255
72052226135660520
oct221543276243233
938403688403488
1010012021311131
113210090020aa4
12115849181a38b
1357818b842188
142688278d7147
151256804c2ddb
hex91b1af9469b

10012021311131 has 16 divisors (see below), whose sum is σ = 11944779264000. Its totient is φ = 8205191747808.

The previous prime is 10012021311107. The next prime is 10012021311137. The reversal of 10012021311131 is 13111312021001.

It is not a de Polignac number, because 10012021311131 - 218 = 10012021048987 is a prime.

It is a super-2 number, since 2×100120213111312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012021311137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12574676 + ... + 13347153.

It is an arithmetic number, because the mean of its divisors is an integer number (746548704000).

Almost surely, 210012021311131 is an apocalyptic number.

10012021311131 is a deficient number, since it is larger than the sum of its proper divisors (1932757952869).

10012021311131 is a wasteful number, since it uses less digits than its factorization.

10012021311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25924258.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10012021311131 its reverse (13111312021001), we get a palindrome (23123333332132).

The spelling of 10012021311131 in words is "ten trillion, twelve billion, twenty-one million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 7 23 161 2399 16793 55177 386239 25921829 181452803 596202067 4173414469 62186467771 435305274397 1430288758733 10012021311131