Search a number
-
+
2220031103112 = 2332315318766747
BaseRepresentation
bin100000010011100100001…
…010100101000010001000
321212020021210012000011100
4200103210022211002020
5242333110430244422
64415511311101400
7316251304010424
oct40234412450210
97766253160140
102220031103112
11786567755259
122ba30bb11860
1313146a82b284
1479643031b84
153cb34cb37ac
hex204e42a5088

2220031103112 has 96 divisors (see below), whose sum is σ = 6323643406080. Its totient is φ = 702626970240.

The previous prime is 2220031103093. The next prime is 2220031103131. The reversal of 2220031103112 is 2113011300222.

2220031103112 is a `hidden beast` number, since 22 + 20 + 0 + 311 + 0 + 311 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2220031103093) and next prime (2220031103131).

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

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 23 ways as a sum of consecutive naturals, for example, 9265078 + ... + 9501669.

It is an arithmetic number, because the mean of its divisors is an integer number (65871285480).

Almost surely, 22220031103112 is an apocalyptic number.

It is an amenable number.

2220031103112 is an abundant number, since it is smaller than the sum of its proper divisors (4103612302968).

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

2220031103112 is a wasteful number, since it uses less digits than its factorization.

2220031103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18766843 (or 18766836 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2220031103112 its reverse (2113011300222), we get a palindrome (4333042403334).

The spelling of 2220031103112 in words is "two trillion, two hundred twenty billion, thirty-one million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 53 62 72 93 106 124 159 186 212 248 279 318 372 424 477 558 636 744 954 1116 1272 1643 1908 2232 3286 3816 4929 6572 9858 13144 14787 19716 29574 39432 59148 118296 18766747 37533494 56300241 75066988 112600482 150133976 168900723 225200964 337801446 450401928 581769157 675602892 994637591 1163538314 1351205784 1745307471 1989275182 2327076628 2983912773 3490614942 3978550364 4654153256 5235922413 5967825546 6981229884 7957100728 8951738319 10471844826 11935651092 13962459768 17903476638 20943689652 23871302184 30833765321 35806953276 41887379304 61667530642 71613906552 92501295963 123335061284 185002591926 246670122568 277503887889 370005183852 555007775778 740010367704 1110015551556 2220031103112