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2013213230322 = 2371723643190657
BaseRepresentation
bin11101010010111100110…
…111000000010011110010
321010110110021212111102220
4131102330313000103302
5230441030041332242
64140505110221510
7265310205052320
oct35227467002362
97113407774386
102013213230322
11706887425348
12286211054896
13117acab73358
146d623682d10
153757ceedbec
hex1d4bcdc04f2

2013213230322 has 128 divisors (see below), whose sum is σ = 5092087762944. Its totient is φ = 517022466048.

The previous prime is 2013213230321. The next prime is 2013213230411. The reversal of 2013213230322 is 2230323123102.

It is a junction number, because it is equal to n+sod(n) for n = 2013213230292 and 2013213230301.

It is not an unprimeable number, because it can be changed into a prime (2013213230321) 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, 10464018 + ... + 10654674.

It is an arithmetic number, because the mean of its divisors is an integer number (39781935648).

Almost surely, 22013213230322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013213230322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546043881472).

2013213230322 is an abundant number, since it is smaller than the sum of its proper divisors (3078874532622).

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

2013213230322 is a wasteful number, since it uses less digits than its factorization.

2013213230322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191352.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2013213230322 its reverse (2230323123102), we get a palindrome (4243536353424).

The spelling of 2013213230322 in words is "two trillion, thirteen billion, two hundred thirteen million, two hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 357 391 483 643 714 782 966 1173 1286 1929 2346 2737 3858 4501 5474 8211 9002 10931 13503 14789 16422 21862 27006 29578 32793 44367 65586 76517 88734 103523 153034 190657 207046 229551 251413 310569 381314 459102 502826 571971 621138 754239 1143942 1334599 1508478 1759891 2669198 3241169 3519782 4003797 4385111 5279673 6482338 8007594 8770222 9723507 10559346 13155333 19447014 22688183 26310666 30695777 45376366 61391554 68064549 74546887 92087331 122592451 136129098 149093774 184174662 223640661 245184902 367777353 447281322 521828209 735554706 858147157 1043656418 1565484627 1716294314 2084071667 2574441471 2819626373 3130969254 4168143334 5148882942 5639252746 6252215001 8458879119 12504430002 14588501669 16917758238 19737384611 29177003338 39474769222 43765505007 47933648341 59212153833 87531010014 95867296682 118424307666 143800945023 287601890046 335535538387 671071076774 1006606615161 2013213230322