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1000122223050 = 232524366897727
BaseRepresentation
bin11101000110110111110…
…11100000100111001010
310112121111020101222222200
432203123323200213022
5112341222242114200
62043241054101030
7132153650426316
oct16433373404712
93477436358880
101000122223050
11356170a15985
121419b6aaa776
13734076c0582
1436598780b46
151b03735a800
hexe8dbee09ca

1000122223050 has 144 divisors (see below), whose sum is σ = 2750250222720. Its totient is φ = 260424299520.

The previous prime is 1000122223049. The next prime is 1000122223069. The reversal of 1000122223050 is 503222210001.

It is a super-2 number, since 2×10001222230502 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129428287 + ... + 129436013.

It is an arithmetic number, because the mean of its divisors is an integer number (19098959880).

Almost surely, 21000122223050 is an apocalyptic number.

1000122223050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000122223050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375125111360).

1000122223050 is an abundant number, since it is smaller than the sum of its proper divisors (1750127999670).

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

1000122223050 is a wasteful number, since it uses less digits than its factorization.

1000122223050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14477 (or 14469 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 1000122223050 its reverse (503222210001), we get a palindrome (1503344433051).

The spelling of 1000122223050 in words is "one trillion, one hundred twenty-two million, two hundred twenty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 387 430 450 645 774 1075 1290 1935 2150 3225 3870 6450 6689 7727 9675 13378 15454 19350 20067 23181 33445 38635 40134 46362 60201 66890 69543 77270 100335 115905 120402 139086 167225 193175 200670 231810 287627 301005 332261 334450 347715 386350 501675 575254 579525 602010 664522 695430 862881 996783 1003350 1159050 1438135 1505025 1661305 1725762 1738575 1993566 2588643 2876270 2990349 3010050 3322610 3477150 4314405 4983915 5177286 5980698 7190675 8306525 8628810 9967830 12943215 14381350 14951745 16613050 21572025 24919575 25886430 29903490 43144050 49839150 51685903 64716075 74758725 103371806 129432150 149517450 155057709 258429515 310115418 465173127 516859030 775288545 930346254 1292147575 1550577090 2222493829 2325865635 2584295150 3876442725 4444987658 4651731270 6667481487 7752885450 11112469145 11629328175 13334962974 20002444461 22224938290 23258656350 33337407435 40004888922 55562345725 66674814870 100012222305 111124691450 166687037175 200024444610 333374074350 500061111525 1000122223050