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233134130424 = 233132271212099
BaseRepresentation
bin1101100100011111100…
…0001000010011111000
3211021202111222220120010
43121013320020103320
512304424314133144
6255033401301520
722562165261226
oct3310770102370
9737674886503
10233134130424
118a965158868
12392241948a0
1318ca4acc300
14b3d8889b16
1560e72d95b9
hex3647e084f8

233134130424 has 96 divisors (see below), whose sum is σ = 633449376000. Its totient is φ = 71468542080.

The previous prime is 233134130303. The next prime is 233134130431. The reversal of 233134130424 is 424031431332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 233134130391 and 233134130400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 993127 + ... + 1205225.

It is an arithmetic number, because the mean of its divisors is an integer number (6598431000).

Almost surely, 2233134130424 is an apocalyptic number.

233134130424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233134130424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316724688000).

233134130424 is an abundant number, since it is smaller than the sum of its proper divisors (400315245576).

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

233134130424 is a wasteful number, since it uses less digits than its factorization.

233134130424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212405 (or 212388 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 233134130424 its reverse (424031431332), we get a palindrome (657165561756).

The spelling of 233134130424 in words is "two hundred thirty-three billion, one hundred thirty-four million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 271 312 338 507 542 676 813 1014 1084 1352 1626 2028 2168 3252 3523 4056 6504 7046 10569 14092 21138 28184 42276 45799 84552 91598 137397 183196 212099 274794 366392 424198 549588 636297 848396 1099176 1272594 1696792 2545188 2757287 5090376 5514574 8271861 11029148 16543722 22058296 33087444 35844731 57478829 66174888 71689462 107534193 114957658 143378924 172436487 215068386 229915316 286757848 344872974 430136772 459830632 689745948 747224777 860273544 1379491896 1494449554 2241674331 2988899108 4483348662 5977798216 8966697324 9713922101 17933394648 19427844202 29141766303 38855688404 58283532606 77711376808 116567065212 233134130424