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10133023211001 = 336773137560089
BaseRepresentation
bin1001001101110100011100…
…1111111011110111111001
31022212201002210212112022000
42103131013033323313321
52312004412420223001
633315014022051213
72064041522106015
oct223350717736771
938781083775260
1010133023211001
113257433487339
121177a20b79b09
135867034803b2
14270625d23545
151288b33d2a86
hex937473fbdf9

10133023211001 has 64 divisors (see below), whose sum is σ = 15557418297600. Its totient is φ = 6515445454848.

The previous prime is 10133023210997. The next prime is 10133023211009. The reversal of 10133023211001 is 10011232033101.

10133023211001 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 2 + 321 + 10 + 0 + 1 = 666.

It is not a de Polignac number, because 10133023211001 - 22 = 10133023210997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10133023211009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17811765 + ... + 18371853.

It is an arithmetic number, because the mean of its divisors is an integer number (243084660900).

Almost surely, 210133023211001 is an apocalyptic number.

It is an amenable number.

10133023211001 is a deficient number, since it is larger than the sum of its proper divisors (5424395086599).

10133023211001 is a wasteful number, since it uses less digits than its factorization.

10133023211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560375 (or 560369 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10133023211001 its reverse (10011232033101), we get a palindrome (20144255244102).

The spelling of 10133023211001 in words is "ten trillion, one hundred thirty-three billion, twenty-three million, two hundred eleven thousand, one".

Divisors: 1 3 9 27 67 73 137 201 219 411 603 657 1233 1809 1971 3699 4891 9179 10001 14673 27537 30003 44019 82611 90009 132057 247833 270027 560089 670067 1680267 2010201 5040801 6030603 15122403 18091809 37525963 40886497 76732193 112577889 122659491 230196579 337733667 367978473 690589737 1013201001 1103935419 2071769211 2739395299 5141056931 5601450089 8218185897 15423170793 16804350267 24654557691 46269512379 50413050801 73963673073 138808537137 151239152403 375297155963 1125891467889 3377674403667 10133023211001