Search a number
-
+
1102111021200 = 243527131203693
BaseRepresentation
bin10000000010011010111…
…011111001100010010000
310220100202000022202102010
4100002122323321202100
5121024110410134300
62202145224022520
7142424224053210
oct20023273714220
93810660282363
101102111021200
11395447a37512
1215971a901a40
137cc0c254747
143b4b19c2240
151da05e93a50
hex1009aef9890

1102111021200 has 120 divisors (see below), whose sum is σ = 4034775997888. Its totient is φ = 251911088640.

The previous prime is 1102111021171. The next prime is 1102111021217. The reversal of 1102111021200 is 21201112011.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65593447 + ... + 65610246.

Almost surely, 21102111021200 is an apocalyptic number.

1102111021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102111021200 is an abundant number, since it is smaller than the sum of its proper divisors (2932664976688).

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

1102111021200 is a wasteful number, since it uses less digits than its factorization.

1102111021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131203721 (or 131203710 counting only the distinct ones).

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

Adding to 1102111021200 its reverse (21201112011), we get a palindrome (1123312133211).

The spelling of 1102111021200 in words is "one trillion, one hundred two billion, one hundred eleven million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 131203693 262407386 393611079 524814772 656018465 787222158 918425851 1049629544 1312036930 1574444316 1836851702 1968055395 2099259088 2624073860 2755277553 3148888632 3280092325 3673703404 3936110790 4592129255 5248147720 5510555106 6297777264 6560184650 7347406808 7872221580 9184258510 9840276975 10496295440 11021110212 13120369300 13776387765 14694813616 15744443160 18368517020 19680553950 22042220424 22960646275 26240738600 27552775530 31488886320 36737034040 39361107900 44084440848 45921292550 52481477200 55105551060 68881938825 73474068080 78722215800 91842585100 110211102120 137763877650 157444431600 183685170200 220422204240 275527755300 367370340400 551055510600 1102111021200