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211100121300 = 223521937035109
BaseRepresentation
bin1100010010011010001…
…1000011100011010100
3202011212221010021100010
43010212203003203110
511424313112340200
6240551132120220
721152154265455
oct3044643034324
9664787107303
10211100121300
1181588573672
1234ab5006070
1316ba2c005a3
14a3083b512c
155757bde150
hex31268c38d4

211100121300 has 72 divisors (see below), whose sum is σ = 642929509600. Its totient is φ = 53330555520.

The previous prime is 211100121299. The next prime is 211100121301. The reversal of 211100121300 is 3121001112.

It is an interprime number because it is at equal distance from previous prime (211100121299) and next prime (211100121301).

It is a super-2 number, since 2×2111001213002 (a number of 23 digits) contains 22 as substring.

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 (211100121301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18511855 + ... + 18523254.

Almost surely, 2211100121300 is an apocalyptic number.

211100121300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100121300 is an abundant number, since it is smaller than the sum of its proper divisors (431829388300).

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

211100121300 is a wasteful number, since it uses less digits than its factorization.

211100121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37035145 (or 37035138 counting only the distinct ones).

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

Adding to 211100121300 its reverse (3121001112), we get a palindrome (214221122412).

The spelling of 211100121300 in words is "two hundred eleven billion, one hundred million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 37035109 74070218 111105327 148140436 185175545 222210654 370351090 444421308 555526635 703667071 740702180 925877725 1111053270 1407334142 1851755450 2111001213 2222106540 2777633175 2814668284 3518335355 3703510900 4222002426 5555266350 7036670710 8444004852 10555006065 11110532700 14073341420 17591676775 21110012130 35183353550 42220024260 52775030325 70366707100 105550060650 211100121300