Search a number
-
+
122213210100 = 22352407377367
BaseRepresentation
bin111000111010001111…
…0011001011111110100
3102200110020201022222220
41301310132121133310
54000243040210400
6132051033122340
711554362100662
oct1616436313764
9380406638886
10122213210100
1147915197683
121b828b593b0
13b6a8892747
145cb5261c32
1532a44317a0
hex1c747997f4

122213210100 has 36 divisors (see below), whose sum is σ = 353603555424. Its totient is φ = 32590189280.

The previous prime is 122213210087. The next prime is 122213210101. The reversal of 122213210100 is 1012312221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122213210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122213210101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203688384 + ... + 203688983.

It is an arithmetic number, because the mean of its divisors is an integer number (9822320984).

Almost surely, 2122213210100 is an apocalyptic number.

122213210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122213210100 is an abundant number, since it is smaller than the sum of its proper divisors (231390345324).

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

122213210100 is a wasteful number, since it uses less digits than its factorization.

122213210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407377384 (or 407377377 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122213210100 its reverse (1012312221), we get a palindrome (123225522321).

The spelling of 122213210100 in words is "one hundred twenty-two billion, two hundred thirteen million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 407377367 814754734 1222132101 1629509468 2036886835 2444264202 4073773670 4888528404 6110660505 8147547340 10184434175 12221321010 20368868350 24442642020 30553302525 40737736700 61106605050 122213210100