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1021212042320 = 245101126387629
BaseRepresentation
bin11101101110001001111…
…10110010010001010000
310121121221000121211020002
432313010332302101100
5113212420240323240
62101045514105132
7133531405065011
oct16670476622120
93547830554202
101021212042320
11364103636288
12145b01a1b1a8
13753b8ac2c82
14375d96b5008
151b86daead15
hexedc4fb2450

1021212042320 has 40 divisors (see below), whose sum is σ = 2397826116360. Its totient is φ = 404440409600.

The previous prime is 1021212042293. The next prime is 1021212042337. The reversal of 1021212042320 is 232402121201.

1021212042320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 573485114944 + 447726927376 = 757288^2 + 669124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1021212042292 and 1021212042301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63185735 + ... + 63201894.

It is an arithmetic number, because the mean of its divisors is an integer number (59945652909).

Almost surely, 21021212042320 is an apocalyptic number.

1021212042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021212042320 is an abundant number, since it is smaller than the sum of its proper divisors (1376614074040).

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

1021212042320 is a wasteful number, since it uses less digits than its factorization.

1021212042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126387743 (or 126387737 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1021212042320 its reverse (232402121201), we get a palindrome (1253614163521).

The spelling of 1021212042320 in words is "one trillion, twenty-one billion, two hundred twelve million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 126387629 252775258 505550516 631938145 1011101032 1263876290 2022202064 2527752580 5055505160 10111010320 12765150529 25530301058 51060602116 63825752645 102121204232 127651505290 204242408464 255303010580 510606021160 1021212042320