Search a number
-
+
212202200100 = 223521164303697
BaseRepresentation
bin1100010110100000111…
…1001001110000100100
3202021201201212200020110
43011220033021300210
511434042230400400
6241252341333020
721221365640262
oct3055017116044
9667651780213
10212202200100
1181aa36787a0
1235162107170
131701a32b517
14a3b08d5432
1557be835e50
hex31683c9c24

212202200100 has 72 divisors (see below), whose sum is σ = 669787318368. Its totient is φ = 51442956800.

The previous prime is 212202200071. The next prime is 212202200117. The reversal of 212202200100 is 1002202212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32148549 + ... + 32155148.

It is an arithmetic number, because the mean of its divisors is an integer number (9302601644).

Almost surely, 2212202200100 is an apocalyptic number.

212202200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202200100 is an abundant number, since it is smaller than the sum of its proper divisors (457585118268).

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

212202200100 is a wasteful number, since it uses less digits than its factorization.

212202200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64303725 (or 64303718 counting only the distinct ones).

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

Adding to 212202200100 its reverse (1002202212), we get a palindrome (213204402312).

The spelling of 212202200100 in words is "two hundred twelve billion, two hundred two million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 64303697 128607394 192911091 257214788 321518485 385822182 643036970 707340667 771644364 964555455 1286073940 1414681334 1607592425 1929110910 2122022001 2829362668 3215184850 3536703335 3858221820 4244044002 4822777275 6430369700 7073406670 8488088004 9645554550 10610110005 14146813340 17683516675 19291109100 21220220010 35367033350 42440440020 53050550025 70734066700 106101100050 212202200100