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2001213192 = 2331121016823
BaseRepresentation
bin111011101001000…
…0001011100001000
312011110122011102010
41313102001130020
513044302310232
6530324535520
7100410013536
oct16722013410
95143564363
102001213192
119376a6100
1247a2515a0
1325b7b0624
1414dad3156
15baa520cc
hex77481708

2001213192 has 96 divisors (see below), whose sum is σ = 5554463040. Its totient is φ = 600336000.

The previous prime is 2001213173. The next prime is 2001213241. The reversal of 2001213192 is 2913121002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289893 + ... + 296715.

It is an arithmetic number, because the mean of its divisors is an integer number (57858990).

Almost surely, 22001213192 is an apocalyptic number.

2001213192 is a gapful number since it is divisible by the number (22) 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 2001213192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777231520).

2001213192 is an abundant number, since it is smaller than the sum of its proper divisors (3553249848).

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

2001213192 is a wasteful number, since it uses less digits than its factorization.

2001213192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6955 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2001213192 is about 44734.9213925765. The cubic root of 2001213192 is about 1260.1757527576.

Adding to 2001213192 its reverse (2913121002), we get a palindrome (4914334194).

The spelling of 2001213192 in words is "two billion, one million, two hundred thirteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 121 132 202 242 264 303 363 404 484 606 726 808 968 1111 1212 1452 2222 2424 2904 3333 4444 6666 6823 8888 12221 13332 13646 20469 24442 26664 27292 36663 40938 48884 54584 73326 75053 81876 97768 146652 150106 163752 225159 293304 300212 450318 600424 689123 825583 900636 1378246 1651166 1801272 2067369 2476749 2756492 3302332 4134738 4953498 5512984 6604664 7580353 8269476 9906996 15160706 16538952 19813992 22741059 30321412 45482118 60642824 83383883 90964236 166767766 181928472 250151649 333535532 500303298 667071064 1000606596 2001213192