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230233111331020 = 225737202981218969
BaseRepresentation
bin110100010110010101010010…
…110100010000000011001100
31010012012001220101102101201021
4310112111102310100003030
5220134114403000043040
62133355344201323524
766331536061436560
oct6426252264200314
91105161811371637
10230233111331020
11673a53501aa686
12219a48771965a4
139b60b73876a55
1440bd4b08036a0
151b93d5914c24a
hexd16552d100cc

230233111331020 has 96 divisors (see below), whose sum is σ = 567498894318720. Its totient is φ = 76802903377920.

The previous prime is 230233111331011. The next prime is 230233111331029. The reversal of 230233111331020 is 20133111332032.

It is an interprime number because it is at equal distance from previous prime (230233111331011) and next prime (230233111331029).

It is not an unprimeable number, because it can be changed into a prime (230233111331029) 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 31 ways as a sum of consecutive naturals, for example, 1051332096 + ... + 1051551064.

It is an arithmetic number, because the mean of its divisors is an integer number (5911446815820).

Almost surely, 2230233111331020 is an apocalyptic number.

230233111331020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230233111331020 is an abundant number, since it is smaller than the sum of its proper divisors (337265782987700).

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

230233111331020 is a wasteful number, since it uses less digits than its factorization.

230233111331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422003 (or 422001 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 230233111331020 its reverse (20133111332032), we get a palindrome (250366222663052).

The spelling of 230233111331020 in words is "two hundred thirty trillion, two hundred thirty-three billion, one hundred eleven million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 5180 202981 218969 405962 437938 811924 875876 1014905 1094845 1420867 1532783 2029810 2189690 2841734 3065566 4059620 4379380 5683468 6131132 7104335 7510297 7663915 8101853 14208670 15020594 15327830 16203706 28417340 30041188 30655660 32407412 37551485 40509265 52572079 56712971 75102970 81018530 105144158 113425942 150205940 162037060 210288316 226851884 262860395 283564855 525720790 567129710 1051441580 1134259420 44446546589 88893093178 177786186356 222232732945 311125826123 444465465890 622251652246 888930931780 1244503304492 1555629130615 1644522223793 3111258261230 3289044447586 6222516522460 6578088895172 8222611118965 11511655566551 16445222237930 23023311133102 32890444475860 46046622266204 57558277832755 115116555665510 230233111331020