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12213323322030 = 23252923991950577
BaseRepresentation
bin1011000110111010001011…
…0011000101001010101110
31121020120201111112200012100
42301232202303011022232
53100100341232301110
641550420121115530
72400245352226665
oct261564263051256
947216644480170
1012213323322030
113989706684046
121453035328ba6
136a7933085a5c
143031b134dddc
15162a6adb0bc0
hexb1ba2cc52ae

12213323322030 has 96 divisors (see below), whose sum is σ = 32863338144000. Its totient is φ = 3143267398656.

The previous prime is 12213323321959. The next prime is 12213323322089. The reversal of 12213323322030 is 3022332331221.

12213323322030 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 332 + 3 + 322 + 0 + 3 + 0 = 666.

12213323322030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12213323321985 and 12213323322003.

It is a congruent number.

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, 5286102 + ... + 7236678.

It is an arithmetic number, because the mean of its divisors is an integer number (342326439000).

Almost surely, 212213323322030 is an apocalyptic number.

12213323322030 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 12213323322030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16431669072000).

12213323322030 is an abundant number, since it is smaller than the sum of its proper divisors (20650014821970).

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

12213323322030 is a wasteful number, since it uses less digits than its factorization.

12213323322030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953018 (or 1953015 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12213323322030 its reverse (3022332331221), we get a palindrome (15235655653251).

The spelling of 12213323322030 in words is "twelve trillion, two hundred thirteen billion, three hundred twenty-three million, three hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2399 2610 4798 7197 11995 14394 21591 23990 35985 43182 69571 71970 107955 139142 208713 215910 347855 417426 626139 695710 1043565 1252278 1950577 2087130 3130695 3901154 5851731 6261390 9752885 11703462 17555193 19505770 29258655 35110386 56566733 58517310 87775965 113133466 169700199 175551930 282833665 339400398 509100597 565667330 848500995 1018201194 1697001990 2545502985 4679434223 5091005970 9358868446 14038302669 23397171115 28076605338 42114908007 46794342230 70191513345 84229816014 135703592467 140383026690 210574540035 271407184934 407110777401 421149080070 678517962335 814221554802 1221332332203 1357035924670 2035553887005 2442664664406 4071107774010 6106661661015 12213323322030