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150353121330 = 23253135337349
BaseRepresentation
bin1000110000000110111…
…1101001000000110010
3112101002100220221021100
42030001233221000302
54430410344340310
6153023221105230
713601614305336
oct2140157510062
9471070827240
10150353121330
1158845465465
1225180b58216
13112417892a9
1473c46317c6
153d9ead2ec0
hex2301be9032

150353121330 has 48 divisors (see below), whose sum is σ = 392167128600. Its totient is φ = 39966061824.

The previous prime is 150353121323. The next prime is 150353121337. The reversal of 150353121330 is 33121353051.

150353121330 is a `hidden beast` number, since 1 + 503 + 5 + 3 + 121 + 3 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (150353121323) and next prime (150353121337).

It can be written as a sum of positive squares in 4 ways, for example, as 49349289609 + 101003831721 = 222147^2 + 317811^2 .

It is a super-2 number, since 2×1503531213302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150353121294 and 150353121303.

It is not an unprimeable number, because it can be changed into a prime (150353121337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2640505 + ... + 2696844.

Almost surely, 2150353121330 is an apocalyptic number.

150353121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150353121330 is an abundant number, since it is smaller than the sum of its proper divisors (241814007270).

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

150353121330 is a wasteful number, since it uses less digits than its factorization.

150353121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337675 (or 5337672 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 150353121330 its reverse (33121353051), we get a palindrome (183474474381).

The spelling of 150353121330 in words is "one hundred fifty billion, three hundred fifty-three million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 313 626 939 1565 1878 2817 3130 4695 5634 9390 14085 28170 5337349 10674698 16012047 26686745 32024094 48036141 53373490 80060235 96072282 160120470 240180705 480361410 1670590237 3341180474 5011770711 8352951185 10023541422 15035312133 16705902370 25058853555 30070624266 50117707110 75176560665 150353121330