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233020332230130 = 2335978897301727
BaseRepresentation
bin110100111110111001000110…
…001000001100010111110010
31010120001112012121021101211000
4310332321012020030113302
5221020301120022331010
62143332021322302430
7100040110026252024
oct6476710610142762
91116045177241730
10233020332230130
116827a405797555
1222174a99957a16
13a0039526a9813
14417835c352014
151be15d85a17c0
hexd3ee4620c5f2

233020332230130 has 64 divisors (see below), whose sum is σ = 627793609927680. Its totient is φ = 61498149530112.

The previous prime is 233020332230051. The next prime is 233020332230171. The reversal of 233020332230130 is 31032233020332.

233020332230130 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 2 + 0 + 3 + 322 + 301 + 30 = 666.

233020332230130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 233020332230094 and 233020332230103.

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, 4448624674 + ... + 4448677053.

It is an arithmetic number, because the mean of its divisors is an integer number (9809275155120).

Almost surely, 2233020332230130 is an apocalyptic number.

233020332230130 is an abundant number, since it is smaller than the sum of its proper divisors (394773277697550).

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

233020332230130 is a wasteful number, since it uses less digits than its factorization.

233020332230130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8897301840 (or 8897301834 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 233020332230130 its reverse (31032233020332), we get a palindrome (264052565250462).

The spelling of 233020332230130 in words is "two hundred thirty-three trillion, twenty billion, three hundred thirty-two million, two hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 97 135 194 270 291 485 582 873 970 1455 1746 2619 2910 4365 5238 8730 13095 26190 8897301727 17794603454 26691905181 44486508635 53383810362 80075715543 88973017270 133459525905 160151431086 240227146629 266919051810 400378577715 480454293258 800757155430 863038267519 1201135733145 1726076535038 2402271466290 2589114802557 4315191337595 5178229605114 7767344407671 8630382675190 12945574012785 15534688815342 23302033223013 25891148025570 38836722038355 46604066446026 77673444076710 116510166115065 233020332230130