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150253350120 = 233251724551201
BaseRepresentation
bin1000101111101111001…
…1000010110011101000
3112100211102012000220100
42023323303002303220
54430204324200440
6153005254425400
713566263255226
oct2137363026350
9470742160810
10150253350120
11587a410a915
1225153662260
1311226bc5983
1473b529db16
153d95e76230
hex22fbcc2ce8

150253350120 has 96 divisors (see below), whose sum is σ = 517048314120. Its totient is φ = 37710643200.

The previous prime is 150253350101. The next prime is 150253350127. The reversal of 150253350120 is 21053352051.

It is a happy number.

150253350120 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 533 + 5 + 0 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142462463364 + 7790886756 = 377442^2 + 88266^2 .

It is not an unprimeable number, because it can be changed into a prime (150253350127) 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, 12269481 + ... + 12281720.

Almost surely, 2150253350120 is an apocalyptic number.

150253350120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150253350120 is an abundant number, since it is smaller than the sum of its proper divisors (366794964000).

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

150253350120 is a wasteful number, since it uses less digits than its factorization.

150253350120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24551235 (or 24551228 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 150253350120 in words is "one hundred fifty billion, two hundred fifty-three million, three hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 24551201 49102402 73653603 98204804 122756005 147307206 196409608 220960809 245512010 294614412 368268015 417370417 441921618 491024020 589228824 736536030 834740834 883843236 982048040 1104804045 1252111251 1473072060 1669481668 1767686472 2086852085 2209608090 2504222502 2946144120 3338963336 3756333753 4173704170 4419216180 5008445004 6260556255 7512667506 8347408340 8838432360 10016890008 12521112510 15025335012 16694816680 18781668765 25042225020 30050670024 37563337530 50084450040 75126675060 150253350120