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1031312331119 = 7222367940993
BaseRepresentation
bin11110000000111110000…
…00010101000101101111
310122120222221002122201102
433000133000111011233
5113344111424043434
62105440042233315
7134336611114100
oct17003700250557
93576887078642
101031312331119
11368416a197a4
12147a604b583b
13763384c5515
1437cb6ca23a7
151bc606b907e
hexf01f01516f

1031312331119 has 12 divisors (see below), whose sum is σ = 1199744766144. Its totient is φ = 883941537024.

The previous prime is 1031312331109. The next prime is 1031312331149. The reversal of 1031312331119 is 9111332131301.

It is not a de Polignac number, because 1031312331119 - 236 = 962592854383 is a prime.

It is a super-3 number, since 3×10313123311193 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1031312331091 and 1031312331100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031312331109) 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 11 ways as a sum of consecutive naturals, for example, 625487 + ... + 1566479.

It is an arithmetic number, because the mean of its divisors is an integer number (99978730512).

Almost surely, 21031312331119 is an apocalyptic number.

1031312331119 is a deficient number, since it is larger than the sum of its proper divisors (168432435025).

1031312331119 is an equidigital number, since it uses as much as digits as its factorization.

1031312331119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963374 (or 963367 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 29.

The spelling of 1031312331119 in words is "one trillion, thirty-one billion, three hundred twelve million, three hundred thirty-one thousand, one hundred nineteen".

Divisors: 1 7 49 22367 156569 940993 1095983 6586951 46108657 21047190431 147330333017 1031312331119