Search a number
-
+
1023025663023 = 37137947434769
BaseRepresentation
bin11101110001100010001…
…01001100110000101111
310121210121102021022010020
432320301011030300233
5113230124032204043
62101545502213223
7133624346441640
oct16706105146057
93553542238106
101023025663023
11364954353371
12146329284213
1375617771910
143772c4d56c7
151b927e44e83
hexee3114cc2f

1023025663023 has 32 divisors (see below), whose sum is σ = 1700062156800. Its totient is φ = 532787314176.

The previous prime is 1023025663007. The next prime is 1023025663039. The reversal of 1023025663023 is 3203665203201.

1023025663023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1023025663007) and next prime (1023025663039).

It is not a de Polignac number, because 1023025663023 - 24 = 1023025663007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023025663523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23695818 + ... + 23738951.

It is an arithmetic number, because the mean of its divisors is an integer number (53126942400).

Almost surely, 21023025663023 is an apocalyptic number.

1023025663023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1023025663023 is a deficient number, since it is larger than the sum of its proper divisors (677036493777).

1023025663023 is a wasteful number, since it uses less digits than its factorization.

1023025663023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47434871.

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 1023025663023 in words is "one trillion, twenty-three billion, twenty-five million, six hundred sixty-three thousand, twenty-three".

Divisors: 1 3 7 13 21 39 79 91 237 273 553 1027 1659 3081 7189 21567 47434769 142304307 332043383 616651997 996130149 1849955991 3747346751 4316563979 11242040253 12949691937 26231427257 48715507763 78694281771 146146523289 341008554341 1023025663023