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1000020431031 = 32943368338867
BaseRepresentation
bin11101000110101011101…
…11001101000010110111
310112121020010212102120220
432203111313031002313
5112341020212243111
62043223020225423
7132151303261506
oct16432567150267
93477203772526
101000020431031
11356119510046
1214198899b273
13733bc5a01cb
143658904483d
151b02d44ee06
hexe8d5dcd0b7

1000020431031 has 32 divisors (see below), whose sum is σ = 1384583880960. Its totient is φ = 641247957504.

The previous prime is 1000020431023. The next prime is 1000020431041. The reversal of 1000020431031 is 1301340200001.

It is not a de Polignac number, because 1000020431031 - 23 = 1000020431023 is a prime.

It is a super-2 number, since 2×10000204310312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1000020431031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000020431041) 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 31 ways as a sum of consecutive naturals, for example, 25709860 + ... + 25748726.

It is an arithmetic number, because the mean of its divisors is an integer number (43268246280).

Almost surely, 21000020431031 is an apocalyptic number.

1000020431031 is a deficient number, since it is larger than the sum of its proper divisors (384563449929).

1000020431031 is a wasteful number, since it uses less digits than its factorization.

1000020431031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40015.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1000020431031 its reverse (1301340200001), we get a palindrome (2301360631032).

The spelling of 1000020431031 in words is "one trillion, twenty million, four hundred thirty-one thousand, thirty-one".

Divisors: 1 3 29 87 433 683 1299 2049 12557 19807 37671 38867 59421 116601 295739 887217 1127143 3381429 8576431 16829411 25729293 26546161 50488233 79638483 488052919 769838669 1464158757 2309516007 11494487713 34483463139 333340143677 1000020431031