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1023413303432 = 2313232927146173
BaseRepresentation
bin11101110010010000010…
…11111011100010001000
310121211121102200110210102
432321020023323202020
5113231422301202212
62102052150504532
7133640064355622
oct16711013734210
93554542613712
101023413303432
11365033147343
12146417065148
1375679b76640
1437767b9dc12
151b94beb65c2
hexee482fb888

1023413303432 has 64 divisors (see below), whose sum is σ = 2157107258880. Its totient is φ = 451650431232.

The previous prime is 1023413303431. The next prime is 1023413303441. The reversal of 1023413303432 is 2343033143201.

It is a junction number, because it is equal to n+sod(n) for n = 1023413303395 and 1023413303404.

It is not an unprimeable number, because it can be changed into a prime (1023413303431) 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 15 ways as a sum of consecutive naturals, for example, 6928298 + ... + 7074470.

It is an arithmetic number, because the mean of its divisors is an integer number (33704800920).

Almost surely, 21023413303432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023413303432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078553629440).

1023413303432 is an abundant number, since it is smaller than the sum of its proper divisors (1133693955448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023413303432 is a wasteful number, since it uses less digits than its factorization.

1023413303432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149142 (or 149138 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 1023413303432 its reverse (2343033143201), we get a palindrome (3366446446633).

The spelling of 1023413303432 in words is "one trillion, twenty-three billion, four hundred thirteen million, three hundred three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 1196 2392 2927 5854 11708 23416 38051 67321 76102 134642 146173 152204 269284 292346 304408 538568 584692 875173 1169384 1750346 1900249 3361979 3500692 3800498 6723958 7001384 7600996 13447916 15201992 26895832 43705727 87411454 174822908 349645816 427848371 855696742 1711393484 3422786968 5562028823 9840512533 11124057646 19681025066 22248115292 39362050132 44496230584 78724100264 127926662929 255853325858 511706651716 1023413303432