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233013957121 = 11531133536999
BaseRepresentation
bin1101100100000010110…
…1101101001000000001
3211021110010212110210001
43121000231231020001
512304203033111441
6255013425440001
722556205645601
oct3310055551001
9737403773701
10233013957121
118a903338890
12391abaa0001
1318c85c4454a
14b3c6926c01
1560db99c731
hex3640b6d201

233013957121 has 16 divisors (see below), whose sum is σ = 261285264000. Its totient is φ = 205994763520.

The previous prime is 233013957097. The next prime is 233013957151. The reversal of 233013957121 is 121759310332.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 233013957121 - 217 = 233013826049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233013957151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1702621 + ... + 1834378.

It is an arithmetic number, because the mean of its divisors is an integer number (16330329000).

Almost surely, 2233013957121 is an apocalyptic number.

It is an amenable number.

233013957121 is a deficient number, since it is larger than the sum of its proper divisors (28271306879).

233013957121 is a wasteful number, since it uses less digits than its factorization.

233013957121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537176.

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 233013957121 in words is "two hundred thirty-three billion, thirteen million, nine hundred fifty-seven thousand, one hundred twenty-one".

Divisors: 1 11 53 113 583 1243 5989 65879 3536999 38906989 187460947 399680887 2062070417 4396489757 21183087011 233013957121