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2013202320 = 243526473169
BaseRepresentation
bin111011111111111…
…0000011110010000
312012022012021101220
41313333300132100
513110334433240
6531433525040
7100613636343
oct16777603620
95168167356
102013202320
11943444778
12482273780
1326111a69c
1415153445a
15bbb1e5d0
hex77ff0790

2013202320 has 80 divisors (see below), whose sum is σ = 6245255040. Its totient is φ = 536481792.

The previous prime is 2013202319. The next prime is 2013202327. The reversal of 2013202320 is 232023102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013202320.

It is not an unprimeable number, because it can be changed into a prime (2013202327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633696 + ... + 636864.

It is an arithmetic number, because the mean of its divisors is an integer number (78065688).

Almost surely, 22013202320 is an apocalyptic number.

2013202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013202320 is an abundant number, since it is smaller than the sum of its proper divisors (4232052720).

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

2013202320 is a wasteful number, since it uses less digits than its factorization.

2013202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2013202320 is about 44868.7231821901. The cubic root of 2013202320 is about 1262.6872854857.

Adding to 2013202320 its reverse (232023102), we get a palindrome (2245225422).

The spelling of 2013202320 in words is "two billion, thirteen million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2647 3169 5294 6338 7941 9507 10588 12676 13235 15845 15882 19014 21176 25352 26470 31690 31764 38028 39705 42352 47535 50704 52940 63380 63528 76056 79410 95070 105880 126760 127056 152112 158820 190140 211760 253520 317640 380280 635280 760560 8388343 16776686 25165029 33553372 41941715 50330058 67106744 83883430 100660116 125825145 134213488 167766860 201320232 251650290 335533720 402640464 503300580 671067440 1006601160 2013202320