Search a number
-
+
102220002112004 = 22718190313223331
BaseRepresentation
bin10111001111011111110010…
…111010100011001000000100
3111101221010200200221122010022
4113033133302322203020010
5101344233031020041004
61001223115400314312
730350102641555550
oct2717376272431004
9441833620848108
10102220002112004
112a63029435aa37
12b56ab07a72998
1345063c69634ca
141b35690058860
15bc3e9bc582be
hex5cf7f2ea3204

102220002112004 has 48 divisors (see below), whose sum is σ = 205572703679616. Its totient is φ = 43565858553600.

The previous prime is 102220002111961. The next prime is 102220002112069. The reversal of 102220002112004 is 400211200022201.

102220002112004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457594619 + ... + 457817949.

It is an arithmetic number, because the mean of its divisors is an integer number (4282764659992).

Almost surely, 2102220002112004 is an apocalyptic number.

102220002112004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102220002112004 is an abundant number, since it is smaller than the sum of its proper divisors (103352701567612).

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

102220002112004 is a wasteful number, since it uses less digits than its factorization.

102220002112004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313836 (or 313834 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102220002112004 its reverse (400211200022201), we get a palindrome (502431202134205).

The spelling of 102220002112004 in words is "one hundred two trillion, two hundred twenty billion, two million, one hundred twelve thousand, four".

Divisors: 1 2 4 7 14 28 181 362 724 1267 2534 5068 90313 180626 223331 361252 446662 632191 893324 1264382 1563317 2528764 3126634 6253268 16346653 32693306 40422911 65386612 80845822 114426571 161691644 228853142 282960377 457706284 565920754 1131841508 20169692603 40339385206 80678770412 141187848221 282375696442 564751392884 3650714361143 7301428722286 14602857444572 25555000528001 51110001056002 102220002112004