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230200233420102 = 2311238314891227047
BaseRepresentation
bin110100010101110110101011…
…001000111110010101000110
31010012001221001001211110201220
4310111312223020332111012
5220133100034223420402
62133332305521501210
766326263245010101
oct6425665310762506
91105057031743656
10230200233420102
1167392409504580
122199a4204a1806
139b5aa341a61aa
1440bba72093738
151b93082a48dbc
hexd15dab23e546

230200233420102 has 128 divisors (see below), whose sum is σ = 530763244462080. Its totient is φ = 65876467683840.

The previous prime is 230200233420089. The next prime is 230200233420103. The reversal of 230200233420102 is 201024332002032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230200233420103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186991543 + ... + 188218589.

It is an arithmetic number, because the mean of its divisors is an integer number (4146587847360).

Almost surely, 2230200233420102 is an apocalyptic number.

230200233420102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230200233420102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265381622231040).

230200233420102 is an abundant number, since it is smaller than the sum of its proper divisors (300563011041978).

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

230200233420102 is a wasteful number, since it uses less digits than its factorization.

230200233420102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228658.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 230200233420102 its reverse (201024332002032), we get a palindrome (431224565422134).

The spelling of 230200233420102 in words is "two hundred thirty trillion, two hundred billion, two hundred thirty-three million, four hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 83 138 166 249 253 498 506 759 913 1489 1518 1826 1909 2739 2978 3818 4467 5478 5727 8934 11454 16379 20999 32758 34247 41998 49137 62997 68494 98274 102741 123587 125994 205482 247174 370761 376717 741522 753434 1130151 1227047 1359457 2260302 2454094 2718914 2842501 3681141 4078371 5685002 7362282 8156742 8527503 13497517 17055006 26995034 28222081 31267511 40492551 56444162 62535022 80985102 84666243 93802533 101844901 169332486 187605066 203689802 305534703 310442891 611069406 620885782 931328673 1120293911 1827072983 1862657346 2240587822 2342432723 3360881733 3654145966 4684865446 5481218949 6721763466 7027298169 10962437898 14054596338 20097802813 25766759953 40195605626 42022678609 51533519906 60293408439 77300279859 84045357218 120586816878 126068035827 151647057589 154600559718 252136071654 303294115178 454941172767 462249464699 909882345534 924498929398 1386748394097 1668117633479 2773496788194 3336235266958 3487882324547 5004352900437 6975764649094 10008705800874 10463646973641 20927293947282 38366705570017 76733411140034 115100116710051 230200233420102