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1110005060060 = 2251317331217907
BaseRepresentation
bin10000001001110001011…
…101010001000111011100
310221010010011100110221202
4100021301131101013130
5121141242243410220
62205532420415032
7143123650222601
oct20116135210734
93833104313852
101110005060060
11398828a11776
1215b162547478
1380899847960
143ba201866a8
151dd1900d275
hex102717511dc

1110005060060 has 96 divisors (see below), whose sum is σ = 2525958050112. Its totient is φ = 407296880640.

The previous prime is 1110005060053. The next prime is 1110005060093. The reversal of 1110005060060 is 600605000111.

It is a happy number.

It is a super-2 number, since 2×11100050600602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140378627 + ... + 140386533.

It is an arithmetic number, because the mean of its divisors is an integer number (26312063022).

Almost surely, 21110005060060 is an apocalyptic number.

1110005060060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110005060060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262979025056).

1110005060060 is an abundant number, since it is smaller than the sum of its proper divisors (1415952990052).

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

1110005060060 is a wasteful number, since it uses less digits than its factorization.

1110005060060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11223 (or 11221 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 1110005060060 in words is "one trillion, one hundred ten billion, five million, sixty thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 260 346 692 865 1730 2249 3121 3460 4498 6242 7907 8996 11245 12484 15605 15814 22490 31210 31628 39535 40573 44980 62420 79070 81146 102791 158140 162292 202865 205582 405730 411164 513955 539933 811460 1027910 1079866 1367911 2055820 2159732 2699665 2735822 5399330 5471644 6839555 7019129 10798660 13679110 14038258 17782843 24677747 27358220 28076516 35095645 35565686 49355494 70191290 71131372 88914215 98710988 123388735 140382580 177828430 246777470 320810711 355656860 493554940 641621422 1283242844 1604053555 3208107110 4269250231 6416214220 8538500462 17077000924 21346251155 42692502310 55500253003 85385004620 111000506006 222001012012 277501265015 555002530030 1110005060060