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10022540024231 = 749159316632957
BaseRepresentation
bin1001000111011000110111…
…1100000001100110100111
31022111010221001021010021122
42101312031330001212213
52303202130221233411
633152142532004155
72053050612365540
oct221661574014647
938433831233248
1010022540024231
113214598613919
12115a52846065b
13579176b37177
142691448c34c7
15125a98b939db
hex91d8df019a7

10022540024231 has 32 divisors (see below), whose sum is σ = 11507819102208. Its totient is φ = 8550755458560.

The previous prime is 10022540024207. The next prime is 10022540024243. The reversal of 10022540024231 is 13242004522001.

10022540024231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10022540024231 is a prime.

It is a super-2 number, since 2×100225400242312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10022540024231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022540024201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3389427005 + ... + 3389429961.

It is an arithmetic number, because the mean of its divisors is an integer number (359619346944).

Almost surely, 210022540024231 is an apocalyptic number.

10022540024231 is a deficient number, since it is larger than the sum of its proper divisors (1485279077977).

10022540024231 is a wasteful number, since it uses less digits than its factorization.

10022540024231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10022540024231 its reverse (13242004522001), we get a palindrome (23264544546232).

The spelling of 10022540024231 in words is "ten trillion, twenty-two billion, five hundred forty million, twenty-four thousand, two hundred thirty-one".

Divisors: 1 7 491 593 1663 2957 3437 4151 11641 20699 291163 816533 986159 1451887 1753501 2038141 4917491 5715731 6903113 10163209 12274507 34422437 484204069 860968991 2414488081 2916072163 3389428483 6026782937 16901416567 20412505141 1431791432033 10022540024231