Search a number
-
+
1006060111100 = 225211942197081
BaseRepresentation
bin11101010001111011101…
…10110000010011111100
310120011211001120222002022
432220331312300103330
5112440402342023400
62050102211415312
7132454051563302
oct16507566602374
93504731528068
101006060111100
11358738783080
12142b935b4538
1373b4294ccb5
143699d222272
151b2837c4b85
hexea3ddb04fc

1006060111100 has 72 divisors (see below), whose sum is σ = 2381895996816. Its totient is φ = 365797440000.

The previous prime is 1006060111087. The next prime is 1006060111109. The reversal of 1006060111100 is 11110606001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006060111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10314560 + ... + 10411640.

Almost surely, 21006060111100 is an apocalyptic number.

1006060111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006060111100 is an abundant number, since it is smaller than the sum of its proper divisors (1375835885716).

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

1006060111100 is a wasteful number, since it uses less digits than its factorization.

1006060111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106527 (or 106520 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1006060111100 its reverse (11110606001), we get a palindrome (1017170717101).

The spelling of 1006060111100 in words is "one trillion, six billion, sixty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 9421 18842 37684 47105 94210 97081 103631 188420 194162 207262 235525 388324 414524 471050 485405 518155 942100 970810 1036310 1067891 1941620 2072620 2135782 2427025 2590775 4271564 4854050 5181550 5339455 9708100 10363100 10678910 21357820 26697275 53394550 106789100 914600101 1829200202 3658400404 4573000505 9146001010 10060601111 18292002020 20121202222 22865002525 40242404444 45730005050 50303005555 91460010100 100606011110 201212022220 251515027775 503030055550 1006060111100