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213231302020 = 22511732239761
BaseRepresentation
bin1100011010010110010…
…0110111010110000100
3202101101110022110200101
43012211210313112010
511443144203131040
6241542422453444
721256033106362
oct3064544672604
9671343273611
10213231302020
1182481569250
12353aa894284
13171525b7979
14a46b45a632
15582ed6509a
hex31a5937584

213231302020 has 144 divisors (see below), whose sum is σ = 498002722560. Its totient is φ = 76056422400.

The previous prime is 213231302017. The next prime is 213231302023. The reversal of 213231302020 is 20203132312.

It is an interprime number because it is at equal distance from previous prime (213231302017) and next prime (213231302023).

It is a super-2 number, since 2×2132313020202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213231302023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280198440 + ... + 280199200.

It is an arithmetic number, because the mean of its divisors is an integer number (3458352240).

Almost surely, 2213231302020 is an apocalyptic number.

213231302020 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 213231302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249001361280).

213231302020 is an abundant number, since it is smaller than the sum of its proper divisors (284771420540).

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

213231302020 is a wasteful number, since it uses less digits than its factorization.

213231302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 213231302020 its reverse (20203132312), we get a palindrome (233434434332).

The spelling of 213231302020 in words is "two hundred thirteen billion, two hundred thirty-one million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 239 292 365 478 730 761 803 956 1195 1460 1522 1606 2390 2629 3044 3212 3805 4015 4780 5258 5329 7610 8030 8371 10516 10658 13145 15220 16060 16742 17447 21316 26290 26645 33484 34894 41855 52580 53290 55553 58619 69788 83710 87235 106580 111106 117238 167420 174470 181879 191917 222212 234476 277765 293095 348940 363758 383834 555530 586190 611083 727516 767668 909395 959585 1111060 1172380 1222166 1273631 1818790 1919170 2000669 2444332 2547262 3055415 3637580 3838340 4001338 4055369 5094524 6110830 6368155 8002676 8110738 10003345 12221660 12736310 13277167 14009941 16221476 20006690 20276845 25472620 26554334 28019882 40013380 40553690 44609059 53108668 56039764 66385835 70049705 81107380 89218118 132771670 140099410 146048837 178436236 223045295 265543340 280198820 292097674 446090590 584195348 730244185 892181180 969233191 1460488370 1938466382 2920976740 3876932764 4846165955 9692331910 10661565101 19384663820 21323130202 42646260404 53307825505 106615651010 213231302020