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10023122122208 = 251378730615049
BaseRepresentation
bin1001000111011011000010…
…1000100011010111100000
31022111012102121120202120222
42101312300220203113200
52303204323230402313
633152320404222212
72053101211214306
oct221666050432740
938435377522528
1010023122122208
113214867154728
12115a66b39a968
1357923a605540
1426919bd2a276
15125aced27208
hex91db0a235e0

10023122122208 has 48 divisors (see below), whose sum is σ = 21277949590800. Its totient is φ = 4620178123776.

The previous prime is 10023122122207. The next prime is 10023122122217. The reversal of 10023122122208 is 80222122132001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023122122207) 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 7 ways as a sum of consecutive naturals, for example, 14980133 + ... + 15634916.

It is an arithmetic number, because the mean of its divisors is an integer number (443290616475).

Almost surely, 210023122122208 is an apocalyptic number.

It is an amenable number.

10023122122208 is an abundant number, since it is smaller than the sum of its proper divisors (11254827468592).

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

10023122122208 is a wasteful number, since it uses less digits than its factorization.

10023122122208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30615859 (or 30615851 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 10023122122208 its reverse (80222122132001), we get a palindrome (90245244254209).

The spelling of 10023122122208 in words is "ten trillion, twenty-three billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 787 1574 3148 6296 10231 12592 20462 25184 40924 81848 163696 327392 30615049 61230098 122460196 244920392 397995637 489840784 795991274 979681568 1591982548 3183965096 6367930192 12735860384 24094043563 48188087126 96376174252 192752348504 313222566319 385504697008 626445132638 771009394016 1252890265276 2505780530552 5011561061104 10023122122208