Search a number
-
+
10422112221234 = 234737248393923
BaseRepresentation
bin1001011110101001011001…
…0010111111100000110010
31100220100021220211211220000
42113222112102333200302
52331223441212034414
634055504030530430
72123654441126520
oct227522622774062
940810256754800
1010422112221234
113358aa171051a
121203a60366a16
135a7a5494ac2c
1428060bd25310
15131182c35b09
hex97a964bf832

10422112221234 has 80 divisors (see below), whose sum is σ = 27410766301248. Its totient is φ = 2897266706208.

The previous prime is 10422112221203. The next prime is 10422112221259. The reversal of 10422112221234 is 43212221122401.

10422112221234 is a `hidden beast` number, since 1 + 0 + 422 + 1 + 1 + 2 + 2 + 2 + 1 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10422112221198 and 10422112221207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124155004 + ... + 124238919.

Almost surely, 210422112221234 is an apocalyptic number.

10422112221234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10422112221234 is an abundant number, since it is smaller than the sum of its proper divisors (16988654080014).

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

10422112221234 is a wasteful number, since it uses less digits than its factorization.

10422112221234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248393981 (or 248393972 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10422112221234 its reverse (43212221122401), we get a palindrome (53634333343635).

The spelling of 10422112221234 in words is "ten trillion, four hundred twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 259 333 378 518 567 666 777 999 1134 1554 1998 2331 2997 4662 5994 6993 13986 20979 41958 248393923 496787846 745181769 1490363538 1738757461 2235545307 3477514922 4471090614 5216272383 6706635921 9190575151 10432544766 13413271842 15648817149 18381150302 20119907763 27571725453 31297634298 40239815526 46946451447 55143450906 64334026057 82715176359 93892902894 128668052114 140839354341 165430352718 193002078171 248145529077 281678708682 386004156342 496291058154 579006234513 744436587231 1158012469026 1488873174462 1737018703539 3474037407078 5211056110617 10422112221234