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22030133130 = 232510117314009
BaseRepresentation
bin10100100001000110…
…010010011110001010
32002212022120201100200
4110201012102132022
5330104203230010
614042010113030
71406633020245
oct244106223612
962768521320
1022030133130
1193854880a5
124329a1b776
132101172745
1410cdb8625c
1588e0d1cc0
hex52119278a

22030133130 has 96 divisors (see below), whose sum is σ = 58183978320. Its totient is φ = 5782502400.

The previous prime is 22030133123. The next prime is 22030133141. The reversal of 22030133130 is 3133103022.

22030133130 is a `hidden beast` number, since 2 + 2 + 0 + 301 + 331 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21403982601 + 626150529 = 146301^2 + 25023^2 .

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 47 ways as a sum of consecutive naturals, for example, 1565566 + ... + 1579574.

Almost surely, 222030133130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22030133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29091989160).

22030133130 is an abundant number, since it is smaller than the sum of its proper divisors (36153845190).

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

22030133130 is a wasteful number, since it uses less digits than its factorization.

22030133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14296 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 22030133130 its reverse (3133103022), we get a palindrome (25163236152).

The spelling of 22030133130 in words is "twenty-two billion, thirty million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 173 202 303 346 505 519 606 865 909 1010 1038 1515 1557 1730 1818 2595 3030 3114 4545 5190 7785 9090 14009 15570 17473 28018 34946 42027 52419 70045 84054 87365 104838 126081 140090 157257 174730 210135 252162 262095 314514 420270 524190 630405 786285 1260810 1414909 1572570 2423557 2829818 4244727 4847114 7074545 7270671 8489454 12117785 12734181 14149090 14541342 21223635 21812013 24235570 25468362 36353355 42447270 43624026 63670905 72706710 109060065 127341810 218120130 244779257 489558514 734337771 1223896285 1468675542 2203013313 2447792570 3671688855 4406026626 7343377710 11015066565 22030133130