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153311222340 = 2236510515173
BaseRepresentation
bin1000111011001000001…
…1111001101001000100
3112122201112010001000000
42032302003321221010
510002440133103330
6154232531321300
714035123613463
oct2166203715104
9478645101000
10153311222340
115a023208541
1225867750230
13115c3590813
1475c544c9da
153ec464c560
hex23b20f9a44

153311222340 has 84 divisors (see below), whose sum is σ = 482709577644. Its totient is φ = 40882988736.

The previous prime is 153311222327. The next prime is 153311222341. The reversal of 153311222340 is 43222113351.

153311222340 is a `hidden beast` number, since 1 + 5 + 3 + 311 + 2 + 2 + 2 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29654906436 + 123656315904 = 172206^2 + 351648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (153311222341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5243007 + ... + 5272166.

It is an arithmetic number, because the mean of its divisors is an integer number (5746542591).

Almost surely, 2153311222340 is an apocalyptic number.

153311222340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153311222340 is an abundant number, since it is smaller than the sum of its proper divisors (329398355304).

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

153311222340 is a wasteful number, since it uses less digits than its factorization.

153311222340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515200 (or 10515183 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 153311222340 its reverse (43222113351), we get a palindrome (196533335691).

The spelling of 153311222340 in words is "one hundred fifty-three billion, three hundred eleven million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 10515173 21030346 31545519 42060692 52575865 63091038 94636557 105151730 126182076 157727595 189273114 210303460 283909671 315455190 378546228 473182785 567819342 630910380 851729013 946365570 1135638684 1419548355 1703458026 1892731140 2555187039 2839096710 3406916052 4258645065 5110374078 5678193420 7665561117 8517290130 10220748156 12775935195 15331122234 17034580260 25551870390 30662244468 38327805585 51103740780 76655611170 153311222340