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1013344122330 = 233529508125471
BaseRepresentation
bin11101011111100000000…
…01000011010111011010
310120212121200202002001000
432233300001003113122
5113100312043403310
62053305053205430
7133132416630531
oct16576001032732
93525550662030
101013344122330
11360836380571
12144486a90876
1374733a46307
143709078d318
151b55cee04c0
hexebf00435da

1013344122330 has 128 divisors (see below), whose sum is σ = 2796092006400. Its totient is φ = 260845401600.

The previous prime is 1013344122289. The next prime is 1013344122337. The reversal of 1013344122330 is 332214433101.

It is a happy number.

1013344122330 is a `hidden beast` number, since 1 + 0 + 13 + 3 + 4 + 412 + 233 + 0 = 666.

1013344122330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1013344122294 and 1013344122303.

It is not an unprimeable number, because it can be changed into a prime (1013344122337) 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, 39771495 + ... + 39796965.

It is an arithmetic number, because the mean of its divisors is an integer number (21844468800).

Almost surely, 21013344122330 is an apocalyptic number.

1013344122330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013344122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398046003200).

1013344122330 is an abundant number, since it is smaller than the sum of its proper divisors (1782747884070).

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

1013344122330 is a wasteful number, since it uses less digits than its factorization.

1013344122330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30597 (or 30591 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1013344122330 its reverse (332214433101), we get a palindrome (1345558555431).

The spelling of 1013344122330 in words is "one trillion, thirteen billion, three hundred forty-four million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 5081 7830 10162 15243 25405 25471 30486 45729 50810 50942 76215 76413 91458 127355 137187 147349 152430 152826 228645 229239 254710 274374 294698 382065 442047 457290 458478 685935 687717 736745 738659 764130 884094 1146195 1326141 1371870 1375434 1473490 1477318 2210235 2215977 2292390 2652282 3438585 3693295 3978423 4420470 4431954 6630705 6647931 6877170 7386590 7956846 11079885 13261410 13295862 19892115 19943793 22159770 33239655 39784230 39887586 66479310 99718965 129418151 199437930 258836302 388254453 647090755 776508906 1164763359 1294181510 1941272265 2329526718 3494290077 3753126379 3882544530 5823816795 6988580154 7506252758 11259379137 11647633590 17471450385 18765631895 22518758274 33778137411 34942900770 37531263790 56296895685 67556274822 101334412233 112593791370 168890687055 202668824466 337781374110 506672061165 1013344122330