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10001110111110 = 23253132411147253
BaseRepresentation
bin1001000110001001000010…
…0111011001001110000110
31022102002121120002201222200
42101202100213121032012
52302324233142023420
633134240242335330
72051361555211656
oct221422047311606
938362546081880
1010001110111110
1132064a0a24a18
12115634765a546
135771401394c1
142680b0740366
15125242624b90
hex918909d9386

10001110111110 has 96 divisors (see below), whose sum is σ = 26096959388448. Its totient is φ = 2657321372160.

The previous prime is 10001110111099. The next prime is 10001110111117. The reversal of 10001110111110 is 1111101110001.

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 = 10001110111092 and 10001110111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001110111117) 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, 67844244 + ... + 67991496.

It is an arithmetic number, because the mean of its divisors is an integer number (271843326963).

Almost surely, 210001110111110 is an apocalyptic number.

10001110111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001110111110 is an abundant number, since it is smaller than the sum of its proper divisors (16095849277338).

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

10001110111110 is a wasteful number, since it uses less digits than its factorization.

10001110111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149990 (or 149987 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10001110111110 its reverse (1111101110001), we get a palindrome (11112211221111).

The spelling of 10001110111110 in words is "ten trillion, one billion, one hundred ten million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 313 626 939 1565 1878 2411 2817 3130 4695 4822 5634 7233 9390 12055 14085 14466 21699 24110 28170 36165 43398 72330 108495 147253 216990 294506 441759 736265 754643 883518 1325277 1472530 1509286 2208795 2263929 2650554 3773215 4417590 4527858 6626385 6791787 7546430 11319645 13252770 13583574 22639290 33958935 46090189 67917870 92180378 138270567 230450945 276541134 355026983 414811701 460901890 691352835 710053966 829623402 1065080949 1382705670 1775134915 2074058505 2130161898 3195242847 3550269830 4148117010 5325404745 6390485694 10650809490 15976214235 31952428470 111123445679 222246891358 333370337037 555617228395 666740674074 1000111011111 1111234456790 1666851685185 2000222022222 3333703370370 5000555055555 10001110111110