Search a number
-
+
221111000010120 = 233511179853431373
BaseRepresentation
bin110010010001100101101010…
…100111001000110110001000
31001222220000010202121202002010
4302101211222213020312020
5212440140312000310440
62102132554025335520
764400512463531343
oct6221455247106610
91058800122552063
10221111000010120
11644a8715176830
12209709626375a0
13964b8a7279cbc
143c85b8821d45a
151a86910468580
hexc9196a9c8d88

221111000010120 has 128 divisors (see below), whose sum is σ = 766202823642240. Its totient is φ = 50449568624640.

The previous prime is 221111000010113. The next prime is 221111000010127. The reversal of 221111000010120 is 21010000111122.

It is an interprime number because it is at equal distance from previous prime (221111000010113) and next prime (221111000010127).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221111000010096 and 221111000010105.

It is not an unprimeable number, because it can be changed into a prime (221111000010127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4926693247 + ... + 4926738126.

It is an arithmetic number, because the mean of its divisors is an integer number (5985959559705).

Almost surely, 2221111000010120 is an apocalyptic number.

221111000010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221111000010120 is an abundant number, since it is smaller than the sum of its proper divisors (545091823632120).

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

221111000010120 is a wasteful number, since it uses less digits than its factorization.

221111000010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9853431415 (or 9853431411 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221111000010120 its reverse (21010000111122), we get a palindrome (242121000121242).

The spelling of 221111000010120 in words is "two hundred twenty-one trillion, one hundred eleven billion, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 9853431373 19706862746 29560294119 39413725492 49267156865 59120588238 78827450984 98534313730 108387745103 118241176476 147801470595 167508333341 197068627460 216775490206 236482352952 295602941190 325163235309 335016666682 394137254920 433550980412 502525000023 541938725515 591205882380 650326470618 670033333364 837541666705 867101960824 1005050000046 1083877451030 1182411764760 1300652941236 1340066666728 1625816176545 1675083333410 1842591666751 2010100000092 2167754902060 2512625000115 2601305882472 3251632353090 3350166666820 3685183333502 4020200000184 4335509804120 5025250000230 5527775000253 6503264706180 6700333333640 7370366667004 9212958333755 10050500000460 11055550000506 13006529412360 14740733334008 18425916667510 20101000000920 22111100001012 27638875001265 36851833335020 44222200002024 55277750002530 73703666670040 110555500005060 221111000010120