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230133203322 = 2311371812931777
BaseRepresentation
bin1101011001010100000…
…0100000000101111010
3211000000101020000110220
43112111000200011322
512232303100001242
6253415521120510
722424625644511
oct3262500400572
9730011200426
10230133203322
1189665214920
1238727189136
1318917181ab9
14b1d20c1678
155ebdb10bec
hex359502017a

230133203322 has 128 divisors (see below), whose sum is σ = 520590889728. Its totient is φ = 67209523200.

The previous prime is 230133203269. The next prime is 230133203353. The reversal of 230133203322 is 223302331032.

It is a super-2 number, since 2×2301332033222 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230133203292 and 230133203301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129505698 + ... + 129507474.

It is an arithmetic number, because the mean of its divisors is an integer number (4067116326).

Almost surely, 2230133203322 is an apocalyptic number.

230133203322 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 230133203322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260295444864).

230133203322 is an abundant number, since it is smaller than the sum of its proper divisors (290457686406).

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

230133203322 is a wasteful number, since it uses less digits than its factorization.

230133203322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304.

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

Adding to 230133203322 its reverse (223302331032), we get a palindrome (453435534354).

The spelling of 230133203322 in words is "two hundred thirty billion, one hundred thirty-three million, two hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 181 222 293 362 407 543 586 814 879 1086 1221 1758 1777 1991 2442 3223 3554 3982 5331 5973 6446 6697 9669 10662 10841 11946 13394 19338 19547 20091 21682 32523 39094 40182 53033 58641 65046 65749 73667 106066 117282 119251 131498 147334 159099 197247 221001 238502 318198 321637 357753 394494 442002 520661 583363 643274 715506 723239 964911 1041322 1166726 1446478 1561983 1750089 1929822 1962221 2169717 3123966 3500178 3538007 3924442 4339434 5727271 5886663 7076014 10614021 11454542 11773326 11900569 17181813 19264457 21228042 21584431 23801138 34363626 35701707 38528914 43168862 57793371 64753293 71403414 94239641 115586742 129506586 130906259 188479282 211909027 261812518 282718923 392718777 423818054 565437846 635727081 785437554 1036636051 1271454162 2073272102 3109908153 3486866717 6219816306 6973733434 10460600151 20921200302 38355533887 76711067774 115066601661 230133203322