Search a number
-
+
101020222200 = 23352198861423
BaseRepresentation
bin101111000010101000…
…1100100001011111000
3100122202021101000000010
41132011101210023320
53123342134102300
6114224045541520
710204242502152
oct1360521441370
9318667330003
10101020222200
113992a311147
12176b35748a0
1396abcaa211
144c64753ad2
152963ab2a50
hex17854642f8

101020222200 has 96 divisors (see below), whose sum is σ = 329644972800. Its totient is φ = 25520895360.

The previous prime is 101020222151. The next prime is 101020222207. The reversal of 101020222200 is 2222020101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020222207) by changing a digit.

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, 4419312 + ... + 4442111.

It is an arithmetic number, because the mean of its divisors is an integer number (3433801800).

Almost surely, 2101020222200 is an apocalyptic number.

101020222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020222200 is an abundant number, since it is smaller than the sum of its proper divisors (228624750600).

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

101020222200 is a wasteful number, since it uses less digits than its factorization.

101020222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8861461 (or 8861452 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101020222200 its reverse (2222020101), we get a palindrome (103242242301).

The spelling of 101020222200 in words is "one hundred one billion, twenty million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 8861423 17722846 26584269 35445692 44307115 53168538 70891384 88614230 106337076 132921345 168367037 177228460 212674152 221535575 265842690 336734074 354456920 443071150 505101111 531685380 664606725 673468148 841835185 886142300 1010202222 1063370760 1329213450 1346936296 1683670370 1772284600 2020404444 2525505555 2658426900 3367340740 4040808888 4209175925 5051011110 5316853800 6734681480 8418351850 10102022220 12627527775 16836703700 20204044440 25255055550 33673407400 50510111100 101020222200