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10140432010031 = 3167101262118443
BaseRepresentation
bin1001001110010000000011…
…0110010000101100101111
31022220102020010211111221002
42103210000312100230233
52312120101043310111
633322241122230515
72064423233625131
oct223440066205457
938812203744832
1010140432010031
11325a595566744
12117934a1b543b
1358731438894b
14270b29c95051
15128b98a4c63b
hex93900d90b2f

10140432010031 has 32 divisors (see below), whose sum is σ = 10733636007936. Its totient is φ = 9566971920000.

The previous prime is 10140432010021. The next prime is 10140432010099. The reversal of 10140432010031 is 13001023404101.

It is a cyclic number.

It is not a de Polignac number, because 10140432010031 - 210 = 10140432009007 is a prime.

It is a super-2 number, since 2×101404320100312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10140432009985 and 10140432010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140432010001) 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 31 ways as a sum of consecutive naturals, for example, 549816296 + ... + 549834738.

It is an arithmetic number, because the mean of its divisors is an integer number (335426125248).

Almost surely, 210140432010031 is an apocalyptic number.

10140432010031 is a deficient number, since it is larger than the sum of its proper divisors (593203997905).

10140432010031 is a wasteful number, since it uses less digits than its factorization.

10140432010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21263.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10140432010031 its reverse (13001023404101), we get a palindrome (23141455414132).

The spelling of 10140432010031 in words is "ten trillion, one hundred forty billion, four hundred thirty-two million, ten thousand, thirty-one".

Divisors: 1 31 67 101 2077 2621 3131 6767 18443 81251 175607 209777 264721 571733 1235681 1862743 5443817 8206351 17736307 38306111 48339103 57745033 124803781 549825517 1498512193 3238719901 3868917211 4882249403 100400316931 151349731493 327110710001 10140432010031