Search a number
-
+
214020101220 = 22353796405451
BaseRepresentation
bin1100011101010010010…
…1111001010001100100
3202110102102120121202120
43013110211321101210
512001303121214340
6242153001305540
721314421562452
oct3072445712144
9673372517676
10214020101220
1182846849812
123558aa952b0
1317249b48563
14a50410b9d2
1558792284d0
hex31d4979464

214020101220 has 48 divisors (see below), whose sum is σ = 615452405568. Its totient is φ = 55529539200.

The previous prime is 214020101219. The next prime is 214020101221. The reversal of 214020101220 is 22101020412.

It is an interprime number because it is at equal distance from previous prime (214020101219) and next prime (214020101221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214020101220.

It is not an unprimeable number, because it can be changed into a prime (214020101221) 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, 48200506 + ... + 48204945.

It is an arithmetic number, because the mean of its divisors is an integer number (12821925116).

Almost surely, 2214020101220 is an apocalyptic number.

214020101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214020101220 is an abundant number, since it is smaller than the sum of its proper divisors (401432304348).

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

214020101220 is a wasteful number, since it uses less digits than its factorization.

214020101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96405500 (or 96405498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 214020101220 its reverse (22101020412), we get a palindrome (236121121632).

The spelling of 214020101220 in words is "two hundred fourteen billion, twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 96405451 192810902 289216353 385621804 482027255 578432706 964054510 1156865412 1446081765 1928109020 2892163530 3567001687 5784327060 7134003374 10701005061 14268006748 17835008435 21402010122 35670016870 42804020244 53505025305 71340033740 107010050610 214020101220