Search a number
-
+
211211214020 = 22517823754811
BaseRepresentation
bin1100010010110100101…
…0110101110011000100
3202012011200011100220022
43010231022311303010
511430030032322040
6241010141154312
721155003461112
oct3045512656304
9665150140808
10211211214020
1181635251234
1234b2625b998
1316bbcc29121
14a319052ab2
1557628356b5
hex312d2b5cc4

211211214020 has 48 divisors (see below), whose sum is σ = 470205606528. Its totient is φ = 79418088960.

The previous prime is 211211214007. The next prime is 211211214029. The reversal of 211211214020 is 20412112112.

It is a super-2 number, since 2×2112112140202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 211211214020.

It is not an unprimeable number, because it can be changed into a prime (211211214029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97586 + ... + 657225.

It is an arithmetic number, because the mean of its divisors is an integer number (9795950136).

Almost surely, 2211211214020 is an apocalyptic number.

211211214020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211214020 is an abundant number, since it is smaller than the sum of its proper divisors (258994392508).

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

211211214020 is a wasteful number, since it uses less digits than its factorization.

211211214020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755660 (or 755658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211211214020 its reverse (20412112112), we get a palindrome (231623326132).

The spelling of 211211214020 in words is "two hundred eleven billion, two hundred eleven million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 823 1646 3292 4115 8230 13991 16460 27982 55964 69955 139910 279820 754811 1509622 3019244 3774055 7548110 12831787 15096220 25663574 51327148 64158935 128317870 256635740 621209453 1242418906 2484837812 3106047265 6212094530 10560560701 12424189060 21121121402 42242242804 52802803505 105605607010 211211214020