Search a number
-
+
10022015321031 = 37286382879533
BaseRepresentation
bin1001000111010110111010…
…1010011100001111000111
31022111002120110221102210210
42101311232222130033013
52303200041410233111
633152014505450503
72053031611443600
oct221655652341707
938432513842723
1010022015321031
11321434941460a
12115a4007a0a33
135790c2212cbc
142690d4d3ada7
15125a67a9b0a6
hex91d6ea9c3c7

10022015321031 has 48 divisors (see below), whose sum is σ = 15565872881664. Its totient is φ = 5718939662016.

The previous prime is 10022015320987. The next prime is 10022015321053. The reversal of 10022015321031 is 13012351022001.

It is not a de Polignac number, because 10022015321031 - 210 = 10022015320007 is a prime.

It is a super-2 number, since 2×100220153210312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10022015320989 and 10022015321007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022015321531) 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, 1051292341 + ... + 1051301873.

It is an arithmetic number, because the mean of its divisors is an integer number (324289018368).

Almost surely, 210022015321031 is an apocalyptic number.

10022015321031 is a deficient number, since it is larger than the sum of its proper divisors (5543857560633).

10022015321031 is an equidigital number, since it uses as much as digits as its factorization.

10022015321031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18700 (or 18693 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10022015321031 its reverse (13012351022001), we get a palindrome (23034366343032).

The spelling of 10022015321031 in words is "ten trillion, twenty-two billion, fifteen million, three hundred twenty-one thousand, thirty-one".

Divisors: 1 3 7 21 49 147 863 2589 6041 8287 9533 18123 24861 28599 42287 58009 66731 126861 174027 200193 406063 467117 1218189 1401351 7151681 8226979 21455043 24680937 50061767 57588853 78999971 150185301 172766559 236999913 350432369 403121971 552999797 1051297107 1209365913 1658999391 3870998579 11612995737 68176974973 204530924919 477238824811 1431716474433 3340671773677 10022015321031