Search a number
-
+
211401413233120 = 25511120114439337
BaseRepresentation
bin110000000100010010111010…
…001001000000100111100000
31000201111202222222002210021001
4300010102322021000213200
5210202100043241424440
62025340245111441344
762346151043631265
oct6004227211004740
91021452888083231
10211401413233120
11613a4921601610
121b863015686254
1390c60b5a54086
143a2bc50d1726c
15196908124cb9a
hexc044ba2409e0

211401413233120 has 48 divisors (see below), whose sum is σ = 544839096837168. Its totient is φ = 76873241175040.

The previous prime is 211401413233103. The next prime is 211401413233123. The reversal of 211401413233120 is 21332314104112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211401413233123) 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, 60057217909 + ... + 60057221428.

It is an arithmetic number, because the mean of its divisors is an integer number (11350814517441).

Almost surely, 2211401413233120 is an apocalyptic number.

211401413233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211401413233120 is an abundant number, since it is smaller than the sum of its proper divisors (333437683604048).

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

211401413233120 is a wasteful number, since it uses less digits than its factorization.

211401413233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120114439363 (or 120114439355 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 211401413233120 its reverse (21332314104112), we get a palindrome (232733727337232).

The spelling of 211401413233120 in words is "two hundred eleven trillion, four hundred one billion, four hundred thirteen million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 120114439337 240228878674 480457757348 600572196685 960915514696 1201144393370 1321258832707 1921831029392 2402288786740 2642517665414 3843662058784 4804577573480 5285035330828 6606294163535 9609155146960 10570070661656 13212588327070 19218310293920 21140141323312 26425176654140 42280282646624 52850353308280 105700706616560 211401413233120