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13234200434312 = 231113389290910223
BaseRepresentation
bin1100000010010101001111…
…0100001101011010001000
31201212011210011221021210012
43000211103310031122020
53213312120302344222
644051412512411052
72534065552424414
oct300452364153210
951764704837705
1013234200434312
114242658148440
121598a62b46a88
1374cc9766ac70
1433a77835bd44
1517e3ba39d1e2
hexc0953d0d688

13234200434312 has 128 divisors (see below), whose sum is σ = 29240108352000. Its totient is φ = 5536091274240.

The previous prime is 13234200434267. The next prime is 13234200434317. The reversal of 13234200434312 is 21343400243231.

It is a super-2 number, since 2×132342004343122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13234200434317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1294546433 + ... + 1294556655.

It is an arithmetic number, because the mean of its divisors is an integer number (228438346500).

Almost surely, 213234200434312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13234200434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14620054176000).

13234200434312 is an abundant number, since it is smaller than the sum of its proper divisors (16005907917688).

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

13234200434312 is a wasteful number, since it uses less digits than its factorization.

13234200434312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13551 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 13234200434312 its reverse (21343400243231), we get a palindrome (34577600677543).

The spelling of 13234200434312 in words is "thirteen trillion, two hundred thirty-four billion, two hundred million, four hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 389 572 778 1144 1556 2909 3112 4279 5057 5818 8558 10114 10223 11636 17116 20228 20446 23272 31999 34232 37817 40456 40892 55627 63998 75634 81784 111254 112453 127996 132899 151268 222508 224906 255992 265798 302536 415987 445016 449812 531596 831974 899624 1063192 1131601 1461889 1663948 2263202 2923778 3327896 3976747 4526404 5847556 7953494 9052808 11695112 12447611 14710813 15906988 24895222 29421626 29738707 31813976 43744217 49790444 51697711 58843252 59477414 87488434 99580888 103395422 117686504 118954828 161818943 174976868 206790844 237909656 323637886 327125777 349953736 386603191 413581688 568674821 647275772 654251554 773206382 1137349642 1294551544 1308503108 1546412764 2274699284 2617006216 3092825528 4252635101 4549398568 8505270202 11568357023 17010540404 23136714046 34021080808 46273428092 92546856184 127251927253 150388641299 254503854506 300777282598 509007709012 601554565196 1018015418024 1203109130392 1654275054289 3308550108578 6617100217156 13234200434312