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123402244142031 = 32314976115772591
BaseRepresentation
bin11100000011101111010010…
…111011010011001111001111
3121011221010202120100220111220
4130003233102323103033033
5112133310244000021111
61114242113000214423
734664342435220351
oct3403572273231717
9534833676326456
10123402244142031
1136357663801418
1211a10221a6a413
1353b1a214b34aa
1422689b41b70d1
15e3ee977cde06
hex703bd2ed33cf

123402244142031 has 32 divisors (see below), whose sum is σ = 173069497497600. Its totient is φ = 78060440620800.

The previous prime is 123402244141991. The next prime is 123402244142117. The reversal of 123402244142031 is 130241442204321.

It is not a de Polignac number, because 123402244142031 - 211 = 123402244139983 is a prime.

It is a super-3 number, since 3×1234022441420313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 123402244141983 and 123402244142001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123402244142231) 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, 62455 + ... + 15710136.

It is an arithmetic number, because the mean of its divisors is an integer number (5408421796800).

Almost surely, 2123402244142031 is an apocalyptic number.

123402244142031 is a deficient number, since it is larger than the sum of its proper divisors (49667253355569).

123402244142031 is a wasteful number, since it uses less digits than its factorization.

123402244142031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15773527.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 123402244142031 its reverse (130241442204321), we get a palindrome (253643686346352).

The spelling of 123402244142031 in words is "one hundred twenty-three trillion, four hundred two billion, two hundred forty-four million, one hundred forty-two thousand, thirty-one".

Divisors: 1 3 23 69 149 447 761 2283 3427 10281 17503 52509 113389 340167 2607947 7823841 15772591 47317773 362769593 1088308779 2350116059 7050348177 12002941751 36008825253 54052669357 162158008071 276067660273 828202980819 1788438320899 5365314962697 41134081380677 123402244142031