Search a number
-
+
222102210113 = 717233125110429
BaseRepresentation
bin1100111011011001010…
…0101100011001000001
3210020021200111021212222
43032312110230121001
512114331131210423
6250010553100425
722021620431240
oct3166624543101
9706250437788
10222102210113
11862139a8853
12370656b7715
1317c373a9904
14aa6d66a957
155b9da423c8
hex33b652c641

222102210113 has 64 divisors (see below), whose sum is σ = 290675589120. Its totient is φ = 165179520000.

The previous prime is 222102210107. The next prime is 222102210119. The reversal of 222102210113 is 311012201222.

It is an interprime number because it is at equal distance from previous prime (222102210107) and next prime (222102210119).

It is a cyclic number.

It is not a de Polignac number, because 222102210113 - 210 = 222102209089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 222102210091 and 222102210100.

It is not an unprimeable number, because it can be changed into a prime (222102210119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21291383 + ... + 21301811.

It is an arithmetic number, because the mean of its divisors is an integer number (4541806080).

Almost surely, 2222102210113 is an apocalyptic number.

222102210113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

222102210113 is a deficient number, since it is larger than the sum of its proper divisors (68573379007).

222102210113 is a wasteful number, since it uses less digits than its factorization.

222102210113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10758.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 222102210113 its reverse (311012201222), we get a palindrome (533114411335).

The spelling of 222102210113 in words is "two hundred twenty-two billion, one hundred two million, two hundred ten thousand, one hundred thirteen".

Divisors: 1 7 17 23 31 119 161 217 251 391 527 713 1757 2737 3689 4267 4991 5773 7781 10429 12121 29869 40411 54467 73003 84847 98141 132277 177293 178963 239867 323299 686987 925939 1241051 1252741 1679069 2263093 2617679 3042371 4077739 5496083 7435877 18323753 21296597 28544173 38472581 44500543 52051139 60206617 81148049 126409909 311503801 421446319 568036343 884869363 1023512489 1379516833 1866405127 7164587423 9656617831 13064835889 31728887159 222102210113