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213143411111100 = 223521489477151133
BaseRepresentation
bin110000011101101001010001…
…010011100011010010111100
31000221200022101210102212100020
4300131221101103203102330
5210414120201221023400
62033152421543532140
762616050265400641
oct6035512123432274
91027608353385306
10213143411111100
1161a06681a31468
121baa475515a050
1391c1450422602
143a8c2a62d7dc8
151999538b472a0
hexc1da514e34bc

213143411111100 has 72 divisors (see below), whose sum is σ = 617109104624880. Its totient is φ = 56800070753280.

The previous prime is 213143411111087. The next prime is 213143411111179. The reversal of 213143411111100 is 1111114341312.

It is a super-2 number, since 2×2131434111111002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238128867 + ... + 239022266.

Almost surely, 2213143411111100 is an apocalyptic number.

213143411111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213143411111100 is an abundant number, since it is smaller than the sum of its proper divisors (403965693513780).

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

213143411111100 is a wasteful number, since it uses less digits than its factorization.

213143411111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477152639 (or 477152632 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 213143411111100 its reverse (1111114341312), we get a palindrome (214254525452412).

The spelling of 213143411111100 in words is "two hundred thirteen trillion, one hundred forty-three billion, four hundred eleven million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1489 2978 4467 5956 7445 8934 14890 17868 22335 29780 37225 44670 74450 89340 111675 148900 223350 446700 477151133 954302266 1431453399 1908604532 2385755665 2862906798 4771511330 5725813596 7157266995 9543022660 11928778325 14314533990 23857556650 28629067980 35786334975 47715113300 71572669950 143145339900 710478037037 1420956074074 2131434111111 2841912148148 3552390185185 4262868222222 7104780370370 8525736444444 10657170555555 14209560740740 17761950925925 21314341111110 35523901851850 42628682222220 53285852777775 71047803703700 106571705555550 213143411111100