Search a number
-
+
1122002222120 = 235137972707273
BaseRepresentation
bin10000010100111100100…
…010110011110000101000
310222021002021010110101022
4100110330202303300220
5121340330032101440
62215235105312012
7144030155346503
oct20247442636050
93867067113338
101122002222120
113a292500513a
12161550335608
1381a5c227810
143c43b66613a
151e2bc3bccb5
hex1053c8b3c28

1122002222120 has 64 divisors (see below), whose sum is σ = 2722109861520. Its totient is φ = 413757794304.

The previous prime is 1122002222093. The next prime is 1122002222147. The reversal of 1122002222120 is 212222002211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1122002222093) and next prime (1122002222147).

It can be written as a sum of positive squares in 8 ways, for example, as 331898123236 + 790104098884 = 576106^2 + 888878^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939197 + ... + 1768076.

Almost surely, 21122002222120 is an apocalyptic number.

1122002222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122002222120 is an abundant number, since it is smaller than the sum of its proper divisors (1600107639400).

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

1122002222120 is a wasteful number, since it uses less digits than its factorization.

1122002222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708094 (or 2708090 counting only the distinct ones).

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

Adding to 1122002222120 its reverse (212222002211), we get a palindrome (1334224224331).

The spelling of 1122002222120 in words is "one trillion, one hundred twenty-two billion, two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 797 1594 3188 3985 6376 7970 10361 15940 20722 31880 41444 51805 82888 103610 207220 414440 2707273 5414546 10829092 13536365 21658184 27072730 35194549 54145460 70389098 108290920 140778196 175972745 281556392 351945490 703890980 1407781960 2157696581 4315393162 8630786324 10788482905 17261572648 21576965810 28050055553 43153931620 56100111106 86307863240 112200222212 140250277765 224400444424 280500555530 561001111060 1122002222120