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10021033120131 = 32112272411850267
BaseRepresentation
bin1001000111010011010000…
…0111101001000110000011
31022111000001000202110110200
42101310310013221012003
52303141033434321011
633151333221500243
72052665354044245
oct221646407510603
938430030673420
1010021033120131
113213994a48530
12115a187871683
13578c96898537
14269040704095
15125a0b733856
hex91d341e9183

10021033120131 has 48 divisors (see below), whose sum is σ = 15926100398208. Its totient is φ = 6021505670400.

The previous prime is 10021033120009. The next prime is 10021033120183. The reversal of 10021033120131 is 13102133012001.

10021033120131 is a `hidden beast` number, since 10 + 0 + 210 + 3 + 312 + 0 + 131 = 666.

It is not a de Polignac number, because 10021033120131 - 214 = 10021033103747 is a prime.

It is a super-2 number, since 2×100210331201312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10021033130131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4490860 + ... + 6341126.

It is an arithmetic number, because the mean of its divisors is an integer number (331793758296).

Almost surely, 210021033120131 is an apocalyptic number.

10021033120131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10021033120131 is a deficient number, since it is larger than the sum of its proper divisors (5905067278077).

10021033120131 is a wasteful number, since it uses less digits than its factorization.

10021033120131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850752 (or 1850749 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10021033120131 its reverse (13102133012001), we get a palindrome (23123166132132).

The spelling of 10021033120131 in words is "ten trillion, twenty-one billion, thirty-three million, one hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 227 241 681 723 2043 2169 2497 2651 7491 7953 22473 23859 54707 164121 492363 601777 1805331 1850267 5415993 5550801 16652403 20352937 61058811 183176433 420010609 445914347 1260031827 1337743041 3780095481 4013229123 4620116699 4905057817 13860350097 14715173451 41581050291 44145520353 101222556769 303667670307 911003010921 1113448124459 3340344373377 10021033120131