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21034850135040 = 210375743792
BaseRepresentation
bin1001100100001100011101…
…10001010010110000000000
32202110220121212120020000000
410302012032301102300000
510224113333113310130
6112423135440000000
74300501124026110
oct462061661226000
982426555506000
1021034850135040
11677a914584225
122438840900000
13b97768720951
1452a140d1d040
15267270e28260
hex13218ec52c00

21034850135040 has 2112 divisors, whose sum is σ = 89633713720320. Its totient is φ = 4636707618816.

The previous prime is 21034850135017. The next prime is 21034850135063. The reversal of 21034850135040 is 4053105843012.

21034850135040 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 485 + 0 + 135 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (21034850135017) and next prime (21034850135063).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21034850134986 and 21034850135004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 266263925721 + ... + 266263925799.

It is an arithmetic number, because the mean of its divisors is an integer number (42440205360).

Almost surely, 221034850135040 is an apocalyptic number.

21034850135040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21034850135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44816856860160).

21034850135040 is an abundant number, since it is smaller than the sum of its proper divisors (68598863585280).

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

21034850135040 is an frugal number, since it uses more digits than its factorization.

21034850135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 21034850135040 its reverse (4053105843012), we get a palindrome (25087955978052).

The spelling of 21034850135040 in words is "twenty-one trillion, thirty-four billion, eight hundred fifty million, one hundred thirty-five thousand, forty".