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1100021002110 = 232543296995737
BaseRepresentation
bin10000000000011110010…
…111000110111101111110
310220011100100120210012200
4100000132113012331332
5121010320334031420
62201202003412330
7142321355146122
oct20003627067576
93804310523180
101100021002110
113945751a6208
121592369840a6
137c96824c864
143b3541b3582
151d93274db90
hex1001e5c6f7e

1100021002110 has 96 divisors (see below), whose sum is σ = 2927583790560. Its totient is φ = 286417603584.

The previous prime is 1100021002081. The next prime is 1100021002169. The reversal of 1100021002110 is 112001200011.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100021002092 and 1100021002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11442162 + ... + 11537898.

It is an arithmetic number, because the mean of its divisors is an integer number (30495664485).

Almost surely, 21100021002110 is an apocalyptic number.

1100021002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100021002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463791895280).

1100021002110 is an abundant number, since it is smaller than the sum of its proper divisors (1827562788450).

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

1100021002110 is a wasteful number, since it uses less digits than its factorization.

1100021002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98762 (or 98759 counting only the distinct ones).

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

Adding to 1100021002110 its reverse (112001200011), we get a palindrome (1212022202121).

The spelling of 1100021002110 in words is "one trillion, one hundred billion, twenty-one million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 2969 3870 5938 8907 14845 17814 26721 29690 44535 53442 89070 95737 127667 133605 191474 255334 267210 287211 383001 478685 574422 638335 766002 861633 957370 1149003 1276670 1436055 1723266 1915005 2298006 2872110 3830010 4116691 4308165 5745015 8233382 8616330 11490030 12350073 20583455 24700146 37050219 41166910 61750365 74100438 123500730 185251095 284243153 370502190 568486306 852729459 1421215765 1705458918 2558188377 2842431530 4263647295 5116376754 8527294590 12222455579 12790941885 24444911158 25581883770 36667366737 61112277895 73334733474 110002100211 122224555790 183336833685 220004200422 366673667370 550010501055 1100021002110