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2300201133321 = 3713233623101113
BaseRepresentation
bin100001011110001110101…
…010111110010100001001
322010220012222020111202110
4201132032222332110021
5300141302442231241
64520410421052533
7325120062015060
oct41361652762411
98126188214673
102300201133321
11807567634573
12311964857149
13138ba5c56080
147d48a5cb1d7
153ec7816b816
hex2178eabe509

2300201133321 has 64 divisors (see below), whose sum is σ = 3939932086272. Its totient is φ = 1160209239552.

The previous prime is 2300201133121. The next prime is 2300201133337. The reversal of 2300201133321 is 1233311020032.

2300201133321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2300201133321 - 210 = 2300201132297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2300201133121) 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, 22698261 + ... + 22799373.

It is an arithmetic number, because the mean of its divisors is an integer number (61561438848).

Almost surely, 22300201133321 is an apocalyptic number.

2300201133321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2300201133321 is a deficient number, since it is larger than the sum of its proper divisors (1639730952951).

2300201133321 is a wasteful number, since it uses less digits than its factorization.

2300201133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104782.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2300201133321 its reverse (1233311020032), we get a palindrome (3533512153353).

The spelling of 2300201133321 in words is "two trillion, three hundred billion, two hundred one million, one hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 7 13 21 23 39 69 91 161 273 299 483 897 2093 3623 6279 10869 25361 47099 76083 83329 101113 141297 249987 303339 329693 583303 707791 989079 1083277 1314469 1749909 2123373 2325599 3249831 3943407 6976797 7582939 9201283 16279193 22748817 27603849 30232787 48837579 90698361 211629509 366332399 634888527 1098997197 2564326793 4762321187 7692980379 8425645177 14286963561 25276935531 33336248309 58979516239 100008744927 109533387301 176938548717 328600161903 766733711107 2300201133321