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1022313104 = 24292578573
BaseRepresentation
bin111100111011110…
…100001010010000
32122020122212221022
4330323310022100
54043203004404
6245235415012
734222342451
oct7473641220
92566585838
101022313104
11485083a6a
12246454468
13133a503c7
1499ab9128
155eb3c8be
hex3cef4290

1022313104 has 40 divisors (see below), whose sum is σ = 2057245560. Its totient is φ = 491552768.

The previous prime is 1022313101. The next prime is 1022313109. The reversal of 1022313104 is 4013132201.

1022313104 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 369408400 + 652904704 = 19220^2 + 25552^2 .

It is a super-2 number, since 2×10223131042 = 2090248165220229632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022313101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114962 + ... + 123534.

It is an arithmetic number, because the mean of its divisors is an integer number (51431139).

Almost surely, 21022313104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028622780).

1022313104 is an abundant number, since it is smaller than the sum of its proper divisors (1034932456).

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

1022313104 is a wasteful number, since it uses less digits than its factorization.

1022313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1022313104 is about 31973.6313858780. The cubic root of 1022313104 is about 1007.3830576441.

Adding to 1022313104 its reverse (4013132201), we get a palindrome (5035445305).

The spelling of 1022313104 in words is "one billion, twenty-two million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 257 464 514 1028 2056 4112 7453 8573 14906 17146 29812 34292 59624 68584 119248 137168 248617 497234 994468 1988936 2203261 3977872 4406522 8813044 17626088 35252176 63894569 127789138 255578276 511156552 1022313104