Search a number
-
+
10001222133030 = 23251031078880489
BaseRepresentation
bin1001000110001001011101…
…0010101110010100100110
31022102002220100220001011200
42101202113102232110212
52302330000331224110
633134255323343330
72051364415324332
oct221422722562446
938362810801150
1010001222133030
113206549187717
121156379081b46
1357715a3cbc6b
142680c15807c2
1512524c3a16c0
hex918974ae526

10001222133030 has 48 divisors (see below), whose sum is σ = 26255635604640. Its totient is φ = 2641099434624.

The previous prime is 10001222133029. The next prime is 10001222133103. The reversal of 10001222133030 is 3033122210001.

10001222133030 is a `hidden beast` number, since 100 + 0 + 12 + 221 + 330 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10001222132994 and 10001222133012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539430975 + ... + 539449514.

It is an arithmetic number, because the mean of its divisors is an integer number (546992408430).

Almost surely, 210001222133030 is an apocalyptic number.

10001222133030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001222133030 is an abundant number, since it is smaller than the sum of its proper divisors (16254413471610).

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

10001222133030 is a wasteful number, since it uses less digits than its factorization.

10001222133030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078880605 (or 1078880602 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10001222133030 its reverse (3033122210001), we get a palindrome (13034344343031).

The spelling of 10001222133030 in words is "ten trillion, one billion, two hundred twenty-two million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 1078880489 2157760978 3236641467 5394402445 6473282934 9709924401 10788804890 16183207335 19419848802 32366414670 48549622005 97099244010 111124690367 222249380734 333374071101 555623451835 666748142202 1000122213303 1111246903670 1666870355505 2000244426606 3333740711010 5000611066515 10001222133030