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10320012404031 = 3112371574894093
BaseRepresentation
bin1001011000101101000010…
…1011000110010100111111
31100112120202102000201221210
42112023100223012110333
52323040341133412111
633540540453255503
72113411346035131
oct226132053062477
940476672021853
1010320012404031
113319768a61700
1211a8107334593
1359b2330b5905
142796c4065051
1512d6a94bd0a6
hex962d0ac653f

10320012404031 has 48 divisors (see below), whose sum is σ = 15632362680032. Its totient is φ = 6046748547840.

The previous prime is 10320012404011. The next prime is 10320012404033. The reversal of 10320012404031 is 13040421002301.

10320012404031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10320012404031 - 225 = 10319978849599 is a prime.

It is a super-2 number, since 2×103200124040312 (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 = 10320012403989 and 10320012404007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320012404033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338380 + ... + 4555713.

Almost surely, 210320012404031 is an apocalyptic number.

10320012404031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10320012404031 is a deficient number, since it is larger than the sum of its proper divisors (5312350276001).

10320012404031 is a wasteful number, since it uses less digits than its factorization.

10320012404031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894312 (or 4894301 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10320012404031 its reverse (13040421002301), we get a palindrome (23360433406332).

The spelling of 10320012404031 in words is "ten trillion, three hundred twenty billion, twelve million, four hundred four thousand, thirty-one".

Divisors: 1 3 11 33 37 111 121 157 363 407 471 1221 1727 4477 5181 5809 13431 17427 18997 56991 63899 191697 702889 2108667 4894093 14682279 53835023 161505069 181081441 543244323 592185253 768372601 1776555759 1991895851 2305117803 5975687553 8452098611 21910854361 25356295833 28429786237 65732563083 85289358711 92973084721 278919254163 312727648607 938182945821 3440004134677 10320012404031