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230073100675 = 521131436110289
BaseRepresentation
bin1101011001000101101…
…1001110100110000011
3210222212012010111010221
43112101123032212003
512232142203210200
6253405533003511
722423266042235
oct3262133164603
9728765114127
10230073100675
11896342a3910
123870b023597
131890789a1c2
14b1c8118255
155eb86dc91a
hex35916ce983

230073100675 has 96 divisors (see below), whose sum is σ = 334158612480. Its totient is φ = 155554560000.

The previous prime is 230073100669. The next prime is 230073100679. The reversal of 230073100675 is 576001370032.

230073100675 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230073100675 - 27 = 230073100547 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230073100675.

It is not an unprimeable number, because it can be changed into a prime (230073100679) 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 95 ways as a sum of consecutive naturals, for example, 22355931 + ... + 22366219.

It is an arithmetic number, because the mean of its divisors is an integer number (3480818880).

Almost surely, 2230073100675 is an apocalyptic number.

230073100675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230073100675 is a deficient number, since it is larger than the sum of its proper divisors (104085511805).

230073100675 is a wasteful number, since it uses less digits than its factorization.

230073100675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10445 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 34.

The spelling of 230073100675 in words is "two hundred thirty billion, seventy-three million, one hundred thousand, six hundred seventy-five".

Divisors: 1 5 11 25 31 43 55 61 155 215 275 305 341 473 671 775 1075 1333 1525 1705 1891 2365 2623 3355 6665 8525 9455 10289 11825 13115 14663 16775 20801 28853 33325 47275 51445 65575 73315 81313 104005 113179 144265 257225 318959 366575 406565 442427 520025 565895 627629 721325 894443 1594795 2032825 2212135 2829475 3138145 3508549 4472215 4866697 6903919 7973975 11060675 13715237 15690725 17542745 19456499 22361075 24333485 26988047 34519595 68576185 87713725 97282495 121667425 134940235 150867607 172597975 214021489 296868517 342880925 486412475 674701175 754338035 836629457 1070107445 1484342585 3771690175 4183147285 5350537225 7421712925 9202924027 20915736425 46014620135 230073100675