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213201112020 = 223513355976801
BaseRepresentation
bin1100011010001111000…
…1101100101111010100
3202101022100111122210020
43012203301230233110
511443113441041040
6241535423425140
721255215360031
oct3064361545724
9671270448706
10213201112020
1182466519036
12353a07551b0
1317149277370
14a46743c388
15582c39ecd0
hex31a3c6cbd4

213201112020 has 96 divisors (see below), whose sum is σ = 643072362240. Its totient is φ = 52464844800.

The previous prime is 213201112001. The next prime is 213201112039. The reversal of 213201112020 is 20211102312.

213201112020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213201112001) and next prime (213201112039).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2737620 + ... + 2814420.

It is an arithmetic number, because the mean of its divisors is an integer number (6698670440).

Almost surely, 2213201112020 is an apocalyptic number.

213201112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213201112020 is an abundant number, since it is smaller than the sum of its proper divisors (429871250220).

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

213201112020 is a wasteful number, since it uses less digits than its factorization.

213201112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80385 (or 80383 counting only the distinct ones).

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

Adding to 213201112020 its reverse (20211102312), we get a palindrome (233412214332).

It can be divided in two parts, 213201 and 112020, that added together give a triangular number (325221 = T806).

The spelling of 213201112020 in words is "two hundred thirteen billion, two hundred one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 3559 7118 10677 14236 17795 21354 35590 42708 46267 53385 71180 76801 92534 106770 138801 153602 185068 213540 230403 231335 277602 307204 384005 460806 462670 555204 694005 768010 921612 925340 998413 1152015 1388010 1536020 1996826 2304030 2776020 2995239 3993652 4608060 4992065 5990478 9984130 11980956 14976195 19968260 29952390 59904780 273334759 546669518 820004277 1093339036 1366673795 1640008554 2733347590 3280017108 3553351867 4100021385 5466695180 7106703734 8200042770 10660055601 14213407468 16400085540 17766759335 21320111202 35533518670 42640222404 53300278005 71067037340 106600556010 213201112020