Search a number
-
+
1110022101120 = 2735578136511
BaseRepresentation
bin10000001001110010011…
…110010001100010000000
310221010011100102020220010
4100021302132101202000
5121141311124213440
62205534225544520
7143124245116152
oct20116236214200
93833140366803
101110022101120
113988375a0999
1215b1681a5140
13808a023331a
143ba22540ad2
151dd1a777580
hex10272791880

1110022101120 has 64 divisors (see below), whose sum is σ = 3538195453440. Its totient is φ = 296005893120.

The previous prime is 1110022101113. The next prime is 1110022101163. The reversal of 1110022101120 is 211012200111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1110022101096 and 1110022101105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289066336 + ... + 289070175.

It is an arithmetic number, because the mean of its divisors is an integer number (55284303960).

Almost surely, 21110022101120 is an apocalyptic number.

1110022101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110022101120 is an abundant number, since it is smaller than the sum of its proper divisors (2428173352320).

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

1110022101120 is an equidigital number, since it uses as much as digits as its factorization.

1110022101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578136533 (or 578136521 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1110022101120 its reverse (211012200111), we get a palindrome (1321034301231).

It can be divided in two parts, 111002 and 2101120, that added together give a palindrome (2212122).

The spelling of 1110022101120 in words is "one trillion, one hundred ten billion, twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 578136511 1156273022 1734409533 2312546044 2890682555 3468819066 4625092088 5781365110 6937638132 8672047665 9250184176 11562730220 13875276264 17344095330 18500368352 23125460440 27750552528 34688190660 37000736704 46250920880 55501105056 69376381320 74001473408 92501841760 111002210112 138752762640 185003683520 222004420224 277505525280 370007367040 555011050560 1110022101120