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1302314132031 = 31124917306807
BaseRepresentation
bin10010111100110111111…
…110001010001000111111
311121111111111210112120220
4102330313332022020333
5132314114404211111
62434135211312423
7163042362322113
oct22746776121077
94544444715526
101302314132031
11462343415900
1219049244b713
1395a66679b33
1447064a55743
1523d22188e06
hex12f37f8a23f

1302314132031 has 24 divisors (see below), whose sum is σ = 1912513153152. Its totient is φ = 787673686800.

The previous prime is 1302314132029. The next prime is 1302314132059.

1302314132031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1302314132031 - 21 = 1302314132029 is a prime.

It is a super-2 number, since 2×13023141320312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1302314131992 and 1302314132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302314132011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3475171 + ... + 3831636.

It is an arithmetic number, because the mean of its divisors is an integer number (79688048048).

Almost surely, 21302314132031 is an apocalyptic number.

1302314132031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1302314132031 is a deficient number, since it is larger than the sum of its proper divisors (610199021121).

1302314132031 is a wasteful number, since it uses less digits than its factorization.

1302314132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7307323 (or 7307312 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 1302314132031 in words is "one trillion, three hundred two billion, three hundred fourteen million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 3 11 33 121 363 491 1473 5401 16203 59411 178233 7306807 21920421 80374877 241124631 884123647 2652370941 3587642237 10762926711 39464064607 118392193821 434104710677 1302314132031