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21114241404113 = 11132329317140883
BaseRepresentation
bin1001100110100000010101…
…10110111100110011010001
32202202111112210020120011002
410303100022312330303101
510231413431244412423
6112523425410231345
74306311404466014
oct463201266746321
982674483216132
1021114241404113
1168005549097a0
1224500b8885555
13ba20ab6c0b40
1452dd12cbb37b
1526936ac52228
hex13340adbccd1

21114241404113 has 64 divisors (see below), whose sum is σ = 27640362516480. Its totient is φ = 15835619923200.

The previous prime is 21114241404083. The next prime is 21114241404133. The reversal of 21114241404113 is 31140414241112.

It is not a de Polignac number, because 21114241404113 - 240 = 20014729776337 is a prime.

It is a super-2 number, since 2×211142414041132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21114241404133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613631 + ... + 6527252.

It is an arithmetic number, because the mean of its divisors is an integer number (431880664320).

Almost surely, 221114241404113 is an apocalyptic number.

21114241404113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21114241404113 is a deficient number, since it is larger than the sum of its proper divisors (6526121112367).

21114241404113 is a wasteful number, since it uses less digits than its factorization.

21114241404113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7140990.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 21114241404113 its reverse (31140414241112), we get a palindrome (52254655645225).

The spelling of 21114241404113 in words is "twenty-one trillion, one hundred fourteen billion, two hundred forty-one million, four hundred four thousand, one hundred thirteen".

Divisors: 1 11 13 23 29 31 143 253 299 319 341 377 403 667 713 899 3289 4147 4433 7337 7843 8671 9269 9889 11687 20677 95381 101959 128557 227447 268801 2956811 7140883 78549713 92831479 164240309 207085607 221367373 1021146269 1806643399 2135124017 2277941677 2435041103 2692112891 2877775849 4762968961 5091449579 6419653817 23486364187 29613241801 31655534339 52392658571 56005945369 61918596493 66188844527 70616191987 83455499621 147652037791 681104561423 728077289797 918010495831 1624172415701 1919476491283 21114241404113