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150101430120 = 233251133689809
BaseRepresentation
bin1000101111001010111…
…1100000111101101000
3112100102211022200211200
42023302233200331220
54424401431230440
6152542230324200
713562440050615
oct2136257407550
9470384280750
10150101430120
11587263870a4
12251107b9660
13112015a3b95
14739d03550c
153d87967c30
hex22f2be0f68

150101430120 has 96 divisors (see below), whose sum is σ = 492146857800. Its totient is φ = 39672815616.

The previous prime is 150101430097. The next prime is 150101430121. The reversal of 150101430120 is 21034101051.

150101430120 is a `hidden beast` number, since 1 + 501 + 0 + 1 + 43 + 0 + 120 = 666.

150101430120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60241775364 + 89859654756 = 245442^2 + 299766^2 .

It is a super-3 number, since 3×1501014301203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 150101430093 and 150101430102.

It is not an unprimeable number, because it can be changed into a prime (150101430121) 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, 1804225 + ... + 1885584.

Almost surely, 2150101430120 is an apocalyptic number.

150101430120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150101430120 is an abundant number, since it is smaller than the sum of its proper divisors (342045427680).

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

150101430120 is a wasteful number, since it uses less digits than its factorization.

150101430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689939 (or 3689932 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 150101430120 its reverse (21034101051), we get a palindrome (171135531171).

The spelling of 150101430120 in words is "one hundred fifty billion, one hundred one million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 360 452 565 678 904 1017 1130 1356 1695 2034 2260 2712 3390 4068 4520 5085 6780 8136 10170 13560 20340 40680 3689809 7379618 11069427 14759236 18449045 22138854 29518472 33208281 36898090 44277708 55347135 66416562 73796180 88555416 110694270 132833124 147592360 166041405 221388540 265666248 332082810 416948417 442777080 664165620 833896834 1250845251 1328331240 1667793668 2084742085 2501690502 3335587336 3752535753 4169484170 5003381004 6254226255 7505071506 8338968340 10006762008 12508452510 15010143012 16677936680 18762678765 25016905020 30020286024 37525357530 50033810040 75050715060 150101430120