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212101001100 = 223252235667779
BaseRepresentation
bin1100010110001000110…
…1000110111110001100
3202021110200110020022100
43011202031012332030
511433340324013400
6241234324315100
721216026522412
oct3054215067614
9667420406270
10212101001100
1181a5153845a
1235134242a90
1317002388061
14a3a12b12b2
1557b59e6100
hex3162346f8c

212101001100 has 54 divisors (see below), whose sum is σ = 664818807380. Its totient is φ = 56560266720.

The previous prime is 212101001069. The next prime is 212101001107. The reversal of 212101001100 is 1100101212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (212101001107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117832990 + ... + 117834789.

Almost surely, 2212101001100 is an apocalyptic number.

212101001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101001100 is an abundant number, since it is smaller than the sum of its proper divisors (452717806280).

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

212101001100 is a wasteful number, since it uses less digits than its factorization.

212101001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235667799 (or 235667789 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212101001100 its reverse (1100101212), we get a palindrome (213201102312).

The spelling of 212101001100 in words is "two hundred twelve billion, one hundred one million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 235667779 471335558 707003337 942671116 1178338895 1414006674 2121010011 2356677790 2828013348 3535016685 4242020022 4713355580 5891694475 7070033370 8484040044 10605050055 11783388950 14140066740 17675083425 21210100110 23566777900 35350166850 42420200220 53025250275 70700333700 106050500550 212101001100