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212220404312140 = 225731151323832521
BaseRepresentation
bin110000010000001101101001…
…110100000010100001001100
31000211102001221212022022002201
4300100031221310002201030
5210304004342000442030
62031204412520531244
762462263312142530
oct6020155164024114
91024361855268081
10212220404312140
1161690193729034
121b9758a0020b24
1391553b53667c3
143a59745573bc0
1519805169162ca
hexc10369d0284c

212220404312140 has 96 divisors (see below), whose sum is σ = 529240786034688. Its totient is φ = 69947824320000.

The previous prime is 212220404312129. The next prime is 212220404312179. The reversal of 212220404312140 is 41213404022212.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 212220404312099 and 212220404312108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161260921 + ... + 162571600.

It is an arithmetic number, because the mean of its divisors is an integer number (5512924854528).

Almost surely, 2212220404312140 is an apocalyptic number.

212220404312140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212220404312140 is an abundant number, since it is smaller than the sum of its proper divisors (317020381722548).

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

212220404312140 is a wasteful number, since it uses less digits than its factorization.

212220404312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323832719 (or 323832717 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 212220404312140 its reverse (41213404022212), we get a palindrome (253433808334352).

The spelling of 212220404312140 in words is "two hundred twelve trillion, two hundred twenty billion, four hundred four million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 151 155 217 302 310 434 604 620 755 868 1057 1085 1510 2114 2170 3020 4228 4340 4681 5285 9362 10570 18724 21140 23405 32767 46810 65534 93620 131068 163835 327670 655340 323832521 647665042 1295330084 1619162605 2266827647 3238325210 4533655294 6476650420 9067310588 10038808151 11334138235 20077616302 22668276470 40155232604 45336552940 48898710671 50194040755 70271657057 97797421342 100388081510 140543314114 195594842684 200776163020 244493553355 281086628228 342290974697 351358285285 488987106710 684581949394 702716570570 977974213420 1369163898788 1405433141140 1515860030801 1711454873485 3031720061602 3422909746970 6063440123204 6845819493940 7579300154005 10611020215607 15158600308010 21222040431214 30317200616020 42444080862428 53055101078035 106110202156070 212220404312140