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1022010202304 = 26713175482521
BaseRepresentation
bin11101101111101001000…
…11100001100011000000
310121200222122111112212222
432313310203201203000
5113221034102433204
62101301025310212
7133560236246030
oct16676443414300
93550878445788
101022010202304
1136448312a733
121460a5195368
13754b52804a0
14376736c18c0
151b8b8c0cabe
hexedf48e18c0

1022010202304 has 56 divisors (see below), whose sum is σ = 2496063392928. Its totient is φ = 404311726080.

The previous prime is 1022010202303. The next prime is 1022010202307. The reversal of 1022010202304 is 4032020102201.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10220102023042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022010202303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87735437 + ... + 87747084.

It is an arithmetic number, because the mean of its divisors is an integer number (44572560588).

Almost surely, 21022010202304 is an apocalyptic number.

1022010202304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1022010202304 is an abundant number, since it is smaller than the sum of its proper divisors (1474053190624).

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

1022010202304 is a wasteful number, since it uses less digits than its factorization.

1022010202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175482553 (or 175482543 counting only the distinct ones).

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

Adding to 1022010202304 its reverse (4032020102201), we get a palindrome (5054030304505).

The spelling of 1022010202304 in words is "one trillion, twenty-two billion, ten million, two hundred two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 175482521 350965042 701930084 1228377647 1403860168 2281272773 2456755294 2807720336 4562545546 4913510588 5615440672 9125091092 9827021176 11230881344 15968909411 18250182184 19654042352 31937818822 36500364368 39308084704 63875637644 73000728736 78616169408 127751275288 146001457472 255502550576 511005101152 1022010202304