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1145102022 = 23517913163
BaseRepresentation
bin100010001000000…
…1101111011000110
32221210201012200000
41010100031323012
54321121231042
6305343302130
740243130601
oct10420157306
92853635600
101145102022
11538420109
1227b5aa946
1315331287c
14ac11d338
156a7e474c
hex4440dec6

1145102022 has 48 divisors (see below), whose sum is σ = 2587515840. Its totient is φ = 379539432.

The previous prime is 1145102009. The next prime is 1145102071. The reversal of 1145102022 is 2202015411.

1145102022 is a `hidden beast` number, since 11 + 451 + 0 + 202 + 2 = 666.

It is a super-2 number, since 2×11451020222 = 2622517281576976968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1145101986 and 1145102004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80413 + ... + 93575.

It is an arithmetic number, because the mean of its divisors is an integer number (53906580).

Almost surely, 21145102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293757920).

1145102022 is an abundant number, since it is smaller than the sum of its proper divisors (1442413818).

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

1145102022 is a wasteful number, since it uses less digits than its factorization.

1145102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13359 (or 13347 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1145102022 is about 33839.3561108955. The cubic root of 1145102022 is about 1046.2000276745.

Adding to 1145102022 its reverse (2202015411), we get a palindrome (3347117433).

The spelling of 1145102022 in words is "one billion, one hundred forty-five million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 243 358 486 537 1074 1611 3222 4833 9666 13163 14499 26326 28998 39489 43497 78978 86994 118467 236934 355401 710802 1066203 2132406 2356177 3198609 4712354 6397218 7068531 14137062 21205593 42411186 63616779 127233558 190850337 381700674 572551011 1145102022