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1023226141125 = 35331751117203
BaseRepresentation
bin11101110001111010000…
…01111101100111000101
310121211010101111122101010
432320331001331213011
5113231031343004000
62102021423152433
7133632332460126
oct16707501754705
93554111448333
101023226141125
11364a47532551
12146384445719
137564a165706
143774ada004d
151b93a845d50
hexee3d07d9c5

1023226141125 has 64 divisors (see below), whose sum is σ = 1759927762944. Its totient is φ = 527409000000.

The previous prime is 1023226141121. The next prime is 1023226141163. The reversal of 1023226141125 is 5211416223201.

It is not a de Polignac number, because 1023226141125 - 22 = 1023226141121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023226141092 and 1023226141101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023226141121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8671774 + ... + 8788976.

It is an arithmetic number, because the mean of its divisors is an integer number (27498871296).

Almost surely, 21023226141125 is an apocalyptic number.

1023226141125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1023226141125 is a deficient number, since it is larger than the sum of its proper divisors (736701621819).

1023226141125 is a wasteful number, since it uses less digits than its factorization.

1023226141125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118003 (or 117993 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1023226141125 in words is "one trillion, twenty-three billion, two hundred twenty-six million, one hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 125 155 375 465 751 775 2253 2325 3755 3875 11265 11625 18775 23281 56325 69843 93875 116405 117203 281625 349215 351609 582025 586015 1746075 1758045 2910125 2930075 3633293 8730375 8790225 10899879 14650375 18166465 43951125 54499395 88019453 90832325 264058359 272496975 440097265 454161625 1320291795 1362484875 2200486325 2728603043 6601458975 8185809129 11002431625 13643015215 33007294875 40929045645 68215076075 204645228225 341075380375 1023226141125