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212303313020 = 225192209914009
BaseRepresentation
bin1100010110111001000…
…0110111100001111100
3202021222210010202002102
43011232100313201330
511434244122004040
6241310352444232
721224034246161
oct3055620674174
9667883122072
10212303313020
118204575a397
123518bb49678
1317035271756
14a3c00d6068
1557c865a515
hex316e43787c

212303313020 has 72 divisors (see below), whose sum is σ = 470794842000. Its totient is φ = 80407713024.

The previous prime is 212303312971. The next prime is 212303313037. The reversal of 212303313020 is 20313303212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212303312983 and 212303313001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15147776 + ... + 15161784.

It is an arithmetic number, because the mean of its divisors is an integer number (6538817250).

Almost surely, 2212303313020 is an apocalyptic number.

212303313020 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 212303313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235397421000).

212303313020 is an abundant number, since it is smaller than the sum of its proper divisors (258491528980).

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

212303313020 is a wasteful number, since it uses less digits than its factorization.

212303313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16155 (or 16134 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 212303313020 its reverse (20313303212), we get a palindrome (232616616232).

The spelling of 212303313020 in words is "two hundred twelve billion, three hundred three million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 2099 3610 4198 7220 8396 10495 14009 20990 28018 39881 41980 56036 70045 79762 140090 159524 199405 266171 280180 398810 532342 757739 797620 1064684 1330855 1515478 2661710 3030956 3788695 5057249 5323420 7577390 10114498 15154780 20228996 25286245 29404891 50572490 58809782 101144980 117619564 147024455 294048910 558692929 588097820 1117385858 2234771716 2793464645 5586929290 10615165651 11173858580 21230331302 42460662604 53075828255 106151656510 212303313020