Search a number
-
+
211204101040 = 2454361396541
BaseRepresentation
bin1100010010110010111…
…1101101001110110000
3202012011011202222201121
43010230233231032300
511430021222213130
6241005324512024
721154556144422
oct3045457551660
9665134688647
10211204101040
1181631233139
1234b239ab614
1316bbb60866a
14a318120812
155761dccd7a
hex312cbed3b0

211204101040 has 40 divisors (see below), whose sum is σ = 502469299728. Its totient is φ = 82516949760.

The previous prime is 211204101001. The next prime is 211204101047. The reversal of 211204101040 is 40101402112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2112041010402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (211204101047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30694831 + ... + 30701710.

Almost surely, 2211204101040 is an apocalyptic number.

211204101040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211204101040 is an abundant number, since it is smaller than the sum of its proper divisors (291265198688).

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

211204101040 is a wasteful number, since it uses less digits than its factorization.

211204101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61396597 (or 61396591 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211204101040 its reverse (40101402112), we get a palindrome (251305503152).

The spelling of 211204101040 in words is "two hundred eleven billion, two hundred four million, one hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 61396541 122793082 245586164 306982705 491172328 613965410 982344656 1227930820 2455861640 2640051263 4911723280 5280102526 10560205052 13200256315 21120410104 26400512630 42240820208 52801025260 105602050520 211204101040