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213202412020 = 2251319389110947
BaseRepresentation
bin1100011010001111011…
…0101010000111110100
3202101022102221201001101
43012203312222013310
511443114304141040
6241535511335444
721255232413103
oct3064366520764
9671272851041
10213202412020
1182467226814
12353a1081584
1317149610cb0
14a46769a03a
15582c55a09a
hex31a3daa1f4

213202412020 has 96 divisors (see below), whose sum is σ = 508851907200. Its totient is φ = 74385298944.

The previous prime is 213202412009. The next prime is 213202412041. The reversal of 213202412020 is 20214202312.

213202412020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2132024120202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 1866187 + ... + 1977133.

It is an arithmetic number, because the mean of its divisors is an integer number (5300540700).

Almost surely, 2213202412020 is an apocalyptic number.

213202412020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213202412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254425953600).

213202412020 is an abundant number, since it is smaller than the sum of its proper divisors (295649495180).

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

213202412020 is a wasteful number, since it uses less digits than its factorization.

213202412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111377 (or 111375 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 213202412020 its reverse (20214202312), we get a palindrome (233416614332).

The spelling of 213202412020 in words is "two hundred thirteen billion, two hundred two million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 389 494 778 988 1235 1556 1945 2470 3890 4940 5057 7391 7780 10114 14782 20228 25285 29564 36955 50570 73910 96083 101140 110947 147820 192166 221894 384332 443788 480415 554735 960830 1109470 1442311 1921660 2107993 2218940 2884622 4215986 5769244 7211555 8431972 10539965 14423110 21079930 27403909 28846220 42159860 43158383 54807818 86316766 109615636 137019545 172633532 215791915 274039090 431583830 548078180 561058979 820009277 863167660 1122117958 1640018554 2244235916 2805294895 3280037108 4100046385 5610589790 8200092770 10660120601 11221179580 16400185540 21320241202 42640482404 53300603005 106601206010 213202412020