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2013022320232 = 2372111201388711
BaseRepresentation
bin11101010010110001011…
…110101111011001101000
321010102221222122021000211
4131102301132233121220
5230440132203221412
64140434130310504
7265302366254200
oct35226136573150
97112858567024
102013022320232
11706799690810
12286179128434
13117a9a44c5c1
146d606189400
153756b38cca7
hex1d4b17af668

2013022320232 has 96 divisors (see below), whose sum is σ = 4793798514240. Its totient is φ = 783639360000.

The previous prime is 2013022320227. The next prime is 2013022320259. The reversal of 2013022320232 is 2320232203102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4984357 + ... + 5373067.

It is an arithmetic number, because the mean of its divisors is an integer number (49935401190).

Almost surely, 22013022320232 is an apocalyptic number.

2013022320232 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 2013022320232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396899257120).

2013022320232 is an abundant number, since it is smaller than the sum of its proper divisors (2780776194008).

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

2013022320232 is a wasteful number, since it uses less digits than its factorization.

2013022320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389943 (or 389932 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2013022320232 its reverse (2320232203102), we get a palindrome (4333254523334).

The spelling of 2013022320232 in words is "two trillion, thirteen billion, twenty-two million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 1201 2156 2402 4312 4804 8407 9608 13211 16814 26422 33628 52844 58849 67256 92477 105688 117698 184954 235396 369908 388711 470792 647339 739816 777422 1294678 1554844 2589356 2720977 3109688 4275821 5178712 5441954 8551642 10883908 17103284 19046839 21767816 29930747 34206568 38093678 59861494 76187356 119722988 152374712 209515229 239445976 419030458 466841911 838060916 933683822 1676121832 1867367644 3267893377 3734735288 5135261021 6535786754 10270522042 13071573508 20541044084 22875253639 26143147016 35946827147 41082088168 45750507278 71893654294 91501014556 143787308588 183002029112 251627790029 287574617176 503255580058 1006511160116 2013022320232