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10023121241133 = 3721113476814673
BaseRepresentation
bin1001000111011011000010…
…0101001100010000101101
31022111012102112220222222120
42101312300211030100231
52303204323014204013
633152320333303153
72053101200554500
oct221666045142055
938435375828876
1010023121241133
113214866702770
12115a66b034ab9
1357923a3874b0
1426919bb7b137
15125acec01123
hex91db094c42d

10023121241133 has 48 divisors (see below), whose sum is σ = 18263909272896. Its totient is φ = 4806291893760.

The previous prime is 10023121241033. The next prime is 10023121241143. The reversal of 10023121241133 is 33114212132001.

It is not a de Polignac number, because 10023121241133 - 232 = 10018826273837 is a prime.

It is a super-2 number, since 2×100231212411332 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023121241143) 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 47 ways as a sum of consecutive naturals, for example, 238386316 + ... + 238428357.

It is an arithmetic number, because the mean of its divisors is an integer number (380498109852).

Almost surely, 210023121241133 is an apocalyptic number.

10023121241133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10023121241133 is a deficient number, since it is larger than the sum of its proper divisors (8240788031763).

10023121241133 is a wasteful number, since it uses less digits than its factorization.

10023121241133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476814714 (or 476814707 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10023121241133 its reverse (33114212132001), we get a palindrome (43137333373134).

The spelling of 10023121241133 in words is "ten trillion, twenty-three billion, one hundred twenty-one million, two hundred forty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 7007 21021 476814673 1430444019 3337702711 5244961403 6198590749 10013108133 15734884209 18595772247 23363918977 36714729821 43390135243 68184498239 70091756931 110144189463 130170405729 204553494717 257003108747 303730946701 477291487673 771009326241 911192840103 1431874463019 3341040413711 10023121241133