Search a number
-
+
1122011110000 = 24541110200101
BaseRepresentation
bin10000010100111101000…
…100101101101001110000
310222021002212212000021001
4100110331010231221300
5121340334321010000
62215240024011344
7144030324034624
oct20247504555160
93867085760231
101122011110000
113a292a0257a0
12161553300b54
1381a6101a111
143c43c8db184
151e2bd07646a
hex1053d12da70

1122011110000 has 100 divisors (see below), whose sum is σ = 2963456034264. Its totient is φ = 408004000000.

The previous prime is 1122011109943. The next prime is 1122011110007. The reversal of 1122011110000 is 111102211.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122011110007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4990051 + ... + 5210050.

Almost surely, 21122011110000 is an apocalyptic number.

1122011110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122011110000 is an abundant number, since it is smaller than the sum of its proper divisors (1841444924264).

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

1122011110000 is a wasteful number, since it uses less digits than its factorization.

1122011110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10200140 (or 10200119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1122011110000 its reverse (111102211), we get a palindrome (1122122212211).

The spelling of 1122011110000 in words is "one trillion, one hundred twenty-two billion, eleven million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 10200101 20400202 40800404 51000505 81600808 102001010 112201111 163201616 204002020 224402222 255002525 408004040 448804444 510005050 561005555 816008080 897608888 1020010100 1122011110 1275012625 1795217776 2040020200 2244022220 2550025250 2805027775 4080040400 4488044440 5100050500 5610055550 6375063125 8976088880 10200101000 11220111100 12750126250 14025138875 20400202000 22440222200 25500252500 28050277750 44880444400 51000505000 56100555500 70125694375 102001010000 112201111000 140251388750 224402222000 280502777500 561005555000 1122011110000