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1122002000100 = 2232521246668889
BaseRepresentation
bin10000010100111100100…
…001111101100011100100
310222021002020201011211100
4100110330201331203210
5121340330003000400
62215235100440100
7144030153433302
oct20247441754344
93867066634740
101122002000100
113a2924973353
12161550249030
1381a5c17a747
143c43b609272
151e2bc377100
hex1053c87d8e4

1122002000100 has 54 divisors (see below), whose sum is σ = 3516852938690. Its totient is φ = 299200533120.

The previous prime is 1122002000083. The next prime is 1122002000123. The reversal of 1122002000100 is 10002002211.

It can be written as a sum of positive squares in 3 ways, for example, as 283370970276 + 838631029824 = 532326^2 + 915768^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 623333545 + ... + 623335344.

Almost surely, 21122002000100 is an apocalyptic number.

1122002000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122002000100 is an abundant number, since it is smaller than the sum of its proper divisors (2394850938590).

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

1122002000100 is a wasteful number, since it uses less digits than its factorization.

1122002000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246668909 (or 1246668899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1122002000100 its reverse (10002002211), we get a palindrome (1132004002311).

The spelling of 1122002000100 in words is "one trillion, one hundred twenty-two billion, two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1246668889 2493337778 3740006667 4986675556 6233344445 7480013334 11220020001 12466688890 14960026668 18700033335 22440040002 24933377780 31166722225 37400066670 44880080004 56100100005 62333444450 74800133340 93500166675 112200200010 124666888900 187000333350 224400400020 280500500025 374000666700 561001000050 1122002000100