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1023293122938 = 233171114698391
BaseRepresentation
bin11101110010000010000…
…01011110100101111010
310121211022001112200011000
432321001001132211322
5113231201014413223
62102032214545430
7133634105013312
oct16710101364572
93554261480130
101023293122938
11364a81321a19
121463a2968276
137565acb8518
1437755c38442
151b941677543
hexee4105e97a

1023293122938 has 32 divisors (see below), whose sum is σ = 2407748526720. Its totient is φ = 321033136320.

The previous prime is 1023293122933. The next prime is 1023293122939. The reversal of 1023293122938 is 8392213923201.

1023293122938 is a `hidden beast` number, since 1 + 0 + 2 + 329 + 31 + 2 + 293 + 8 = 666.

1023293122938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1023293122893 and 1023293122902.

It is not an unprimeable number, because it can be changed into a prime (1023293122931) 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, 557348278 + ... + 557350113.

It is an arithmetic number, because the mean of its divisors is an integer number (75242141460).

Almost surely, 21023293122938 is an apocalyptic number.

1023293122938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1023293122938 is an abundant number, since it is smaller than the sum of its proper divisors (1384455403782).

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

1023293122938 is a wasteful number, since it uses less digits than its factorization.

1023293122938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114698419 (or 1114698413 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1023293122938 in words is "one trillion, twenty-three billion, two hundred ninety-three million, one hundred twenty-two thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 1114698391 2229396782 3344095173 6688190346 10032285519 18949872647 20064571038 30096856557 37899745294 56849617941 60193713114 113699235882 170548853823 341097707646 511646561469 1023293122938