Search a number
-
+
211411012320 = 25325146813203
BaseRepresentation
bin1100010011100100010…
…1000000101011100000
3202012200121010011122100
43010321011000223200
511430432204343240
6241042035410400
721162650645334
oct3047105005340
9665617104570
10211411012320
11817280066a2
1234b81153a00
1316c22442681
14a3377c17c4
15577514ee30
hex3139140ae0

211411012320 has 72 divisors (see below), whose sum is σ = 721440084456. Its totient is φ = 56376269568.

The previous prime is 211411012313. The next prime is 211411012321. The reversal of 211411012320 is 23210114112.

211411012320 is a `hidden beast` number, since 21 + 1 + 411 + 0 + 1 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2114110123202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211411012293 and 211411012302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211411012321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73405162 + ... + 73408041.

It is an arithmetic number, because the mean of its divisors is an integer number (10020001173).

Almost surely, 2211411012320 is an apocalyptic number.

211411012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211411012320 is an abundant number, since it is smaller than the sum of its proper divisors (510029072136).

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

211411012320 is a wasteful number, since it uses less digits than its factorization.

211411012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146813224 (or 146813213 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211411012320 its reverse (23210114112), we get a palindrome (234621126432).

The spelling of 211411012320 in words is "two hundred eleven billion, four hundred eleven million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 146813203 293626406 440439609 587252812 734066015 880879218 1174505624 1321318827 1468132030 1761758436 2202198045 2349011248 2642637654 2936264060 3523516872 4404396090 4698022496 5285275308 5872528120 6606594135 7047033744 8808792180 10570550616 11745056240 13213188270 14094067488 17617584360 21141101232 23490112480 26426376540 35235168720 42282202464 52852753080 70470337440 105705506160 211411012320