Search a number
-
+
1102201101120 = 26357164018021
BaseRepresentation
bin10000000010100000010…
…011100001101101000000
310220100222021211021211110
4100002200103201231000
5121024301440213440
62202202202443320
7142426366530660
oct20024023415500
93810867737743
101102201101120
11395493872929
12159744b03540
137cc24b03b82
143b4bd9501a0
151da0dd39080
hex100a04e1b40

1102201101120 has 112 divisors (see below), whose sum is σ = 3999415448448. Its totient is φ = 251931678720.

The previous prime is 1102201101107. The next prime is 1102201101143. The reversal of 1102201101120 is 211011022011.

It is a tau number, because it is divible by the number of its divisors (112).

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 = 1102201101096 and 1102201101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82002291 + ... + 82015730.

It is an arithmetic number, because the mean of its divisors is an integer number (35709066504).

Almost surely, 21102201101120 is an apocalyptic number.

1102201101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102201101120 is an abundant number, since it is smaller than the sum of its proper divisors (2897214347328).

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

1102201101120 is a wasteful number, since it uses less digits than its factorization.

1102201101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164018048 (or 164018038 counting only the distinct ones).

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

Adding to 1102201101120 its reverse (211011022011), we get a palindrome (1313212123131).

The spelling of 1102201101120 in words is "one trillion, one hundred two billion, two hundred one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 164018021 328036042 492054063 656072084 820090105 984108126 1148126147 1312144168 1640180210 1968216252 2296252294 2460270315 2624288336 3280360420 3444378441 3936432504 4592504588 4920540630 5248576672 5740630735 6560720840 6888756882 7872865008 9185009176 9841081260 10497153344 11481261470 13121441680 13777513764 15745730016 17221892205 18370018352 19682162520 22962522940 26242883360 27555027528 31491460032 34443784410 36740036704 39364325040 45925045880 52485766720 55110055056 68887568820 73480073408 78728650080 91850091760 110220110112 137775137640 157457300160 183700183520 220440220224 275550275280 367400367040 551100550560 1102201101120