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1021193738352 = 2432532335571031
BaseRepresentation
bin11101101110000111110…
…00111101100001110000
310121121212202011212220100
432313003320331201300
5113212401044111402
62101044021512400
7133531063361454
oct16670370754160
93547782155810
101021193738352
113640a4274237
12145ab7872700
13753b5084818
14375d70ac664
151b86c1d271c
hexedc3e3d870

1021193738352 has 240 divisors, whose sum is σ = 2932436115648. Its totient is φ = 331622952960.

The previous prime is 1021193738347. The next prime is 1021193738353. The reversal of 1021193738352 is 2538373911201.

1021193738352 is a `hidden beast` number, since 1 + 0 + 211 + 9 + 3 + 7 + 383 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1021193738298 and 1021193738307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021193738353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 990488077 + ... + 990489107.

Almost surely, 21021193738352 is an apocalyptic number.

1021193738352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021193738352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466218057824).

1021193738352 is an abundant number, since it is smaller than the sum of its proper divisors (1911242377296).

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

1021193738352 is a wasteful number, since it uses less digits than its factorization.

1021193738352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1021193738352 in words is "one trillion, twenty-one billion, one hundred ninety-three million, seven hundred thirty-eight thousand, three hundred fifty-two".