Search a number
-
+
201033114040 = 23511456893441
BaseRepresentation
bin1011101100111010000…
…0011110000110111000
3201012220100021022112101
42323032200132012320
511243203434122130
6232204153153144
720344534163203
oct2731640360670
9635810238471
10201033114040
1178291a52060
1232b656bb7b4
1315c5a381865
149a313ac93a
155368ee71ca
hex2ece81e1b8

201033114040 has 32 divisors (see below), whose sum is σ = 493444917360. Its totient is φ = 73102950400.

The previous prime is 201033114031. The next prime is 201033114043. The reversal of 201033114040 is 40411330102.

201033114040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201033113999 and 201033114017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201033114043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228446281 + ... + 228447160.

Almost surely, 2201033114040 is an apocalyptic number.

201033114040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201033114040 is an abundant number, since it is smaller than the sum of its proper divisors (292411803320).

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

201033114040 is a wasteful number, since it uses less digits than its factorization.

201033114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456893463 (or 456893459 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 201033114040 its reverse (40411330102), we get a palindrome (241444444142).

The spelling of 201033114040 in words is "two hundred one billion, thirty-three million, one hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 456893441 913786882 1827573764 2284467205 3655147528 4568934410 5025827851 9137868820 10051655702 18275737640 20103311404 25129139255 40206622808 50258278510 100516557020 201033114040