Search a number
-
+
22312133130 = 2357313427363
BaseRepresentation
bin10100110001111010…
…000010001000001010
32010120222012210122010
4110301322002020022
5331143401230010
614130002240350
71416626000550
oct246172021012
963528183563
1022312133130
11950a687951
1243a83560b6
13214770a551
1411193d1bd0
158a8c37620
hex531e8220a

22312133130 has 64 divisors (see below), whose sum is σ = 63173173248. Its totient is φ = 4935401280.

The previous prime is 22312133113. The next prime is 22312133147. The reversal of 22312133130 is 3133121322.

It is an interprime number because it is at equal distance from previous prime (22312133113) and next prime (22312133147).

It is a super-3 number, since 3×223121331303 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22312133097 and 22312133106.

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 31 ways as a sum of consecutive naturals, for example, 1707172 + ... + 1720191.

It is an arithmetic number, because the mean of its divisors is an integer number (987080832).

Almost surely, 222312133130 is an apocalyptic number.

22312133130 is an abundant number, since it is smaller than the sum of its proper divisors (40861040118).

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

22312133130 is a wasteful number, since it uses less digits than its factorization.

22312133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427411.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22312133130 its reverse (3133121322), we get a palindrome (25445254452).

The spelling of 22312133130 in words is "twenty-two billion, three hundred twelve million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2170 3255 6510 3427363 6854726 10282089 17136815 20564178 23991541 34273630 47983082 51410445 71974623 102820890 106248253 119957705 143949246 212496506 239915410 318744759 359873115 531241265 637489518 719746230 743737771 1062482530 1487475542 1593723795 2231213313 3187447590 3718688855 4462426626 7437377710 11156066565 22312133130