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23003430032 = 2411213079091
BaseRepresentation
bin10101011011000111…
…000111110010010000
32012101011000022201002
4111123013013302100
5334102334230112
614322335201132
71443021633452
oct253307076220
965334008632
1023003430032
119834922500
12455b9761a8
1322279c047b
1411831422d2
158e978b1c2
hex55b1c7c90

23003430032 has 60 divisors (see below), whose sum is σ = 49032101328. Its totient is φ = 10446955200.

The previous prime is 23003429987. The next prime is 23003430041.

23003430032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 23003429986 and 23003430013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2525807 + ... + 2534897.

Almost surely, 223003430032 is an apocalyptic number.

23003430032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23003430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24516050664).

23003430032 is an abundant number, since it is smaller than the sum of its proper divisors (26028671296).

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

23003430032 is a wasteful number, since it uses less digits than its factorization.

23003430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The spelling of 23003430032 in words is "twenty-three billion, three million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1307 1936 2614 5228 9091 10456 14377 18182 20912 28754 36364 57508 72728 100001 115016 145456 158147 200002 230032 316294 400004 632588 800008 1100011 1265176 1600016 2200022 2530352 4400044 8800088 11881937 17600176 23763874 47527748 95055496 130701307 190110992 261402614 522805228 1045610456 1437714377 2091220912 2875428754 5750857508 11501715016 23003430032