Search a number
-
+
1102001110002 = 2331317569162287
BaseRepresentation
bin10000000010010100011…
…000100111101111110010
310220100110100111200121000
4100002110120213233302
5121023344241010002
62202130300142430
7142421420611332
oct20022430475762
93810410450530
101102001110002
113953a0996611
121596a9b37a16
137cbc2550930
143b4a11710c2
151d9eb4d261c
hex10094627bf2

1102001110002 has 128 divisors (see below), whose sum is σ = 2797325798400. Its totient is φ = 318568716288.

The previous prime is 1102001109991. The next prime is 1102001110027. The reversal of 1102001110002 is 2000111002011.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6709303 + ... + 6871589.

It is an arithmetic number, because the mean of its divisors is an integer number (21854107800).

Almost surely, 21102001110002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102001110002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398662899200).

1102001110002 is an abundant number, since it is smaller than the sum of its proper divisors (1695324688398).

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

1102001110002 is a wasteful number, since it uses less digits than its factorization.

1102001110002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162897 (or 162891 counting only the distinct ones).

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

Adding to 1102001110002 its reverse (2000111002011), we get a palindrome (3102112112013).

The spelling of 1102001110002 in words is "one trillion, one hundred two billion, one million, one hundred ten thousand, two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 569 663 702 918 1138 1326 1707 1989 3414 3978 5121 5967 7397 9673 10242 11934 14794 15363 19346 22191 29019 30726 44382 58038 66573 87057 125749 133146 162287 174114 199719 251498 261171 324574 377247 399438 486861 522342 754494 973722 1131741 1460583 2109731 2263482 2758879 2921166 3395223 4219462 4381749 5517758 6329193 6790446 8276637 8763498 12658386 16553274 18987579 24829911 35865427 37975158 49659822 56962737 71730854 74489733 92341303 107596281 113925474 148979466 184682606 215192562 277023909 322788843 554047818 645577686 831071727 968366529 1200436939 1569802151 1662143454 1936733058 2400873878 2493215181 3139604302 3601310817 4709406453 4986430362 7202621634 9418812906 10803932451 14128219359 20407427963 21607864902 28256438718 32411797353 40814855926 42384658077 61222283889 64823594706 84769316154 122444567778 183666851667 367333703334 551000555001 1102001110002