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1022040243 = 32729717879
BaseRepresentation
bin111100111010110…
…001100010110011
32122020011000122100
4330322301202303
54043120241433
6245225511443
734220125110
oct7472614263
92566130570
101022040243
11484a07a64
12246342583
13133986153
1499a47907
155ead6b13
hex3ceb18b3

1022040243 has 48 divisors (see below), whose sum is σ = 1770163200. Its totient is φ = 555871680.

The previous prime is 1022040197. The next prime is 1022040269. The reversal of 1022040243 is 3420402201.

1022040243 is a `hidden beast` number, since 1 + 0 + 220 + 402 + 43 = 666.

It is not a de Polignac number, because 1022040243 - 28 = 1022039987 is a prime.

It is a super-2 number, since 2×10220402432 = 2089132516622998098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022045243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125778 + ... + 133656.

It is an arithmetic number, because the mean of its divisors is an integer number (36878400).

Almost surely, 21022040243 is an apocalyptic number.

1022040243 is a deficient number, since it is larger than the sum of its proper divisors (748122957).

1022040243 is a wasteful number, since it uses less digits than its factorization.

1022040243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1022040243 is about 31969.3641319311. The cubic root of 1022040243 is about 1007.2934243063.

Adding to 1022040243 its reverse (3420402201), we get a palindrome (4442442444).

The spelling of 1022040243 in words is "one billion, twenty-two million, forty thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 29 63 71 87 203 213 261 497 609 639 1491 1827 2059 4473 6177 7879 14413 18531 23637 43239 55153 70911 129717 165459 228491 496377 559409 685473 1599437 1678227 2056419 3915863 4798311 5034681 11747589 14394933 16222861 35242767 48668583 113560027 146005749 340680081 1022040243