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1120102010100 = 2232523733636697
BaseRepresentation
bin10000010011001011010…
…010000100110011110100
310222002011211112200112100
4100103023102010303310
5121322432103310400
62214322345222100
7143632112664663
oct20231322046364
93862154480470
101120102010100
113a203a424787
121610bba91930
138181864b5c8
143c2db144dda
151e20a66c100
hex104cb484cf4

1120102010100 has 108 divisors (see below), whose sum is σ = 3605786752204. Its totient is φ = 290621053440.

The previous prime is 1120102010081. The next prime is 1120102010141. The reversal of 1120102010100 is 10102010211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8536651236 + 1111565358864 = 92394^2 + 1054308^2 .

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 16785049 + ... + 16851648.

Almost surely, 21120102010100 is an apocalyptic number.

1120102010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120102010100 is an abundant number, since it is smaller than the sum of its proper divisors (2485684742104).

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

1120102010100 is a wasteful number, since it uses less digits than its factorization.

1120102010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33636754 (or 33636744 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120102010100 its reverse (10102010211), we get a palindrome (1130204020311).

The spelling of 1120102010100 in words is "one trillion, one hundred twenty billion, one hundred two million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 33636697 67273394 100910091 134546788 168183485 201820182 302730273 336366970 403640364 504550455 605460546 672733940 840917425 1009100910 1210921092 1244557789 1513651365 1681834850 2018201820 2489115578 2522752275 3027302730 3363669700 3733673367 4978231156 5045504550 6054605460 6222788945 7467346734 7568256825 10091009100 11201020101 12445577890 14934693468 15136513650 18668366835 22402040202 24891155780 30273027300 31113944725 37336733670 44804080404 56005100505 62227889450 74673467340 93341834175 112010201010 124455778900 186683668350 224020402020 280025502525 373367336700 560051005050 1120102010100