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21101314340 = 2256011755517
BaseRepresentation
bin10011101001101111…
…001000000100100100
32000110120211211111202
4103221233020010210
5321203414024330
613405510222032
71344624132611
oct235157100444
960416754452
1021101314340
118a49161867
12410a954918
131cb38c8922
141042687508
158377b1445
hex4e9bc8124

21101314340 has 24 divisors (see below), whose sum is σ = 44386517112. Its totient is φ = 8426476800.

The previous prime is 21101314337. The next prime is 21101314343. The reversal of 21101314340 is 4341310112.

It is an interprime number because it is at equal distance from previous prime (21101314337) and next prime (21101314343).

It can be written as a sum of positive squares in 4 ways, for example, as 3022360576 + 18078953764 = 54976^2 + 134458^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21101314343) 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, 865739 + ... + 889778.

It is an arithmetic number, because the mean of its divisors is an integer number (1849438213).

Almost surely, 221101314340 is an apocalyptic number.

21101314340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101314340 is an abundant number, since it is smaller than the sum of its proper divisors (23285202772).

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

21101314340 is a wasteful number, since it uses less digits than its factorization.

21101314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756127 (or 1756125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21101314340 its reverse (4341310112), we get a palindrome (25442624452).

The spelling of 21101314340 in words is "twenty-one billion, one hundred one million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 601 1202 2404 3005 6010 12020 1755517 3511034 7022068 8777585 17555170 35110340 1055065717 2110131434 4220262868 5275328585 10550657170 21101314340