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1023002022401 = 17431638585617
BaseRepresentation
bin11101110001011111010…
…11000001001000000001
310121210112202210020021122
432320233223001020001
5113230102004204101
62101543255402025
7133623641500562
oct16705753011001
93553482706248
101023002022401
11364941a76867
12146321383315
13756128b5398
1437729300169
151b925d2551b
hexee2fac1201

1023002022401 has 16 divisors (see below), whose sum is σ = 1115168750784. Its totient is φ = 934664500224.

The previous prime is 1023002022391. The next prime is 1023002022407. The reversal of 1023002022401 is 1042202003201.

It is a cyclic number.

It is not a de Polignac number, because 1023002022401 - 26 = 1023002022337 is a prime.

It is a super-2 number, since 2×10230020224012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1023002022401.

It is not an unprimeable number, because it can be changed into a prime (1023002022407) 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, 4173656 + ... + 4411961.

It is an arithmetic number, because the mean of its divisors is an integer number (69698046924).

Almost surely, 21023002022401 is an apocalyptic number.

It is an amenable number.

1023002022401 is a deficient number, since it is larger than the sum of its proper divisors (92166728383).

1023002022401 is a wasteful number, since it uses less digits than its factorization.

1023002022401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8585840.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 1023002022401 its reverse (1042202003201), we get a palindrome (2065204025602).

The spelling of 1023002022401 in words is "one trillion, twenty-three billion, two million, twenty-two thousand, four hundred one".

Divisors: 1 17 43 163 731 2771 7009 119153 8585617 145955489 369181531 1399455571 6276086027 23790744707 60176589553 1023002022401