Search a number
-
+
1221122200100 = 2252114325816537
BaseRepresentation
bin10001110001010000100…
…011100001001000100100
311022201221002212001100212
4101301100203201020210
5130001324240400400
62332550434354552
7154136355304235
oct21612043411044
94281832761325
101221122200100
11430969713710
121787b342ba58
138b1c7616c6a
144316188b08c
1521b6e225335
hex11c508e1224

1221122200100 has 72 divisors (see below), whose sum is σ = 2957955657888. Its totient is φ = 433717804800.

The previous prime is 1221122200079. The next prime is 1221122200121. The reversal of 1221122200100 is 10022211221.

It is an interprime number because it is at equal distance from previous prime (1221122200079) and next prime (1221122200121).

It is a super-2 number, since 2×12211222001002 (a number of 25 digits) contains 22 as substring.

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, 12860969 + ... + 12955568.

Almost surely, 21221122200100 is an apocalyptic number.

1221122200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221122200100 is an abundant number, since it is smaller than the sum of its proper divisors (1736833457788).

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

1221122200100 is a wasteful number, since it uses less digits than its factorization.

1221122200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25816605 (or 25816598 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221122200100 its reverse (10022211221), we get a palindrome (1231144411321).

The spelling of 1221122200100 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1892 2150 2365 4300 4730 9460 11825 23650 47300 25816537 51633074 103266148 129082685 258165370 283981907 516330740 567963814 645413425 1110111091 1135927628 1290826850 1419909535 2220222182 2581653700 2839819070 4440444364 5550555455 5679638140 7099547675 11101110910 12211222001 14199095350 22202221820 24422444002 27752777275 28398190700 48844888004 55505554550 61056110005 111011109100 122112220010 244224440020 305280550025 610561100050 1221122200100