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23303431320 = 23351397154001
BaseRepresentation
bin10101101100111111…
…100010010010011000
32020011001111222002220
4111230333202102120
5340211134300240
614412213224040
71453323620001
oct255477422230
966131458086
1023303431320
1199791a7954
124624332020
132274bbba20
1411b0d161a8
15915c9a5d0
hex56cfe2498

23303431320 has 128 divisors (see below), whose sum is σ = 76064667840. Its totient is φ = 5677056000.

The previous prime is 23303431303. The next prime is 23303431337. The reversal of 23303431320 is 2313430332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23303431303) and next prime (23303431337).

It is a super-2 number, since 2×233034313202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74320 + ... + 228320.

Almost surely, 223303431320 is an apocalyptic number.

23303431320 is a gapful number since it is divisible by the number (20) 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 23303431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38032333920).

23303431320 is an abundant number, since it is smaller than the sum of its proper divisors (52761236520).

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

23303431320 is a wasteful number, since it uses less digits than its factorization.

23303431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154125 (or 154121 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23303431320 its reverse (2313430332), we get a palindrome (25616861652).

The spelling of 23303431320 in words is "twenty-three billion, three hundred three million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 97 104 120 130 156 194 195 260 291 312 388 390 485 520 582 776 780 970 1164 1261 1455 1560 1940 2328 2522 2910 3783 3880 5044 5820 6305 7566 10088 11640 12610 15132 18915 25220 30264 37830 50440 75660 151320 154001 308002 462003 616004 770005 924006 1232008 1540010 1848012 2002013 2310015 3080020 3696024 4004026 4620030 6006039 6160040 8008052 9240060 10010065 12012078 14938097 16016104 18480120 20020130 24024156 29876194 30030195 40040260 44814291 48048312 59752388 60060390 74690485 80080520 89628582 119504776 120120780 149380970 179257164 194195261 224071455 240241560 298761940 358514328 388390522 448142910 582585783 597523880 776781044 896285820 970976305 1165171566 1553562088 1792571640 1941952610 2330343132 2912928915 3883905220 4660686264 5825857830 7767810440 11651715660 23303431320