Search a number
-
+
3331120323222 = 234372207251809
BaseRepresentation
bin110000011110010110001…
…111100101101010010110
3102210110012111120112010000
4300132112033211222112
5414034113300320342
611030143501112130
7462444160364646
oct60362617455226
912713174515100
103331120323222
1110747a164246a
12459715558646
131b217ab6bb43
14b7327192526
155b9b407944c
hex307963e5a96

3331120323222 has 80 divisors (see below), whose sum is σ = 7669415445120. Its totient is φ = 1079869542912.

The previous prime is 3331120323217. The next prime is 3331120323227. The reversal of 3331120323222 is 2223230211333.

3331120323222 is a `hidden beast` number, since 3 + 3 + 3 + 112 + 0 + 323 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (3331120323217) and next prime (3331120323227).

It is a super-2 number, since 2×33311203232222 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331120323227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13102854 + ... + 13354662.

It is an arithmetic number, because the mean of its divisors is an integer number (95867693064).

Almost surely, 23331120323222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331120323222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834707722560).

3331120323222 is an abundant number, since it is smaller than the sum of its proper divisors (4338295121898).

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

3331120323222 is a wasteful number, since it uses less digits than its factorization.

3331120323222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254067 (or 254058 counting only the distinct ones).

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

Adding to 3331120323222 its reverse (2223230211333), we get a palindrome (5554350534555).

The spelling of 3331120323222 in words is "three trillion, three hundred thirty-one billion, one hundred twenty million, three hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2207 2997 4414 5994 6621 13242 19863 39726 59589 81659 119178 163318 178767 244977 251809 357534 489954 503618 734931 755427 1469862 1510854 2204793 2266281 4409586 4532562 6614379 6798843 9316933 13228758 13597686 18633866 20396529 27950799 40793058 55901598 83852397 167704794 251557191 503114382 555742463 754671573 1111484926 1509343146 1667227389 3334454778 5001682167 10003364334 15005046501 20562471131 30010093002 41124942262 45015139503 61687413393 90030279006 123374826786 185062240179 370124480358 555186720537 1110373441074 1665560161611 3331120323222