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1000112200110 = 232529509975149
BaseRepresentation
bin11101000110110110101…
…01010001100110101110
310112121110112112210002200
432203123111101212232
5112341212210400420
62043240055202330
7132153466303032
oct16433325214656
93477415483080
101000112200110
1135616629a561
121419b36763a6
13734055c143a
14365972d21c2
151b03652ab90
hexe8db5519ae

1000112200110 has 96 divisors (see below), whose sum is σ = 2690520300000. Its totient is φ = 257446226688.

The previous prime is 1000112200099. The next prime is 1000112200111. The reversal of 1000112200110 is 110022110001.

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 = 1000112200092 and 1000112200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000112200111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13270816 + ... + 13345964.

It is an arithmetic number, because the mean of its divisors is an integer number (28026253125).

Almost surely, 21000112200110 is an apocalyptic number.

1000112200110 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 1000112200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345260150000).

1000112200110 is an abundant number, since it is smaller than the sum of its proper divisors (1690408099890).

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

1000112200110 is a wasteful number, since it uses less digits than its factorization.

1000112200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80290 (or 80287 counting only the distinct ones).

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

Adding to 1000112200110 its reverse (110022110001), we get a palindrome (1110134310111).

The spelling of 1000112200110 in words is "one trillion, one hundred twelve million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 5099 10198 15297 25495 30594 45891 50990 75149 76485 91782 147871 150298 152970 225447 229455 295742 375745 443613 450894 458910 676341 739355 751490 887226 1127235 1330839 1352682 1478710 2179321 2218065 2254470 2661678 3381705 4358642 4436130 6537963 6654195 6763410 10896605 13075926 13308390 19613889 21793210 32689815 39227778 65379630 98069445 196138890 383184751 766369502 1149554253 1915923755 2299108506 3448662759 3831847510 5747771265 6897325518 11112357779 11495542530 17243313795 22224715558 33337073337 34486627590 55561788895 66674146674 100011220011 111123577790 166685366685 200022440022 333370733370 500056100055 1000112200110