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151242300 = 2232521115277
BaseRepresentation
bin10010000001111…
…00011000111100
3101112120220102200
421000330120330
5302204223200
623001351500
73514352436
oct1100743074
9345526380
10151242300
1178410640
1242798590
13254454b1
141612d656
15d427800
hex903c63c

151242300 has 108 divisors (see below), whose sum is σ = 517190856. Its totient is φ = 36662400.

The previous prime is 151242269. The next prime is 151242313. The reversal of 151242300 is 3242151.

151242300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2262 + ... + 17538.

Almost surely, 2151242300 is an apocalyptic number.

151242300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258595428).

151242300 is an abundant number, since it is smaller than the sum of its proper divisors (365948556).

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

151242300 is a wasteful number, since it uses less digits than its factorization.

151242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15308 (or 15298 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 151242300 is about 12298.0608227476. The cubic root of 151242300 is about 532.7920767563.

Adding to 151242300 its reverse (3242151), we get a palindrome (154484451).

It can be divided in two parts, 15124 and 2300, that added together give a square (17424 = 1322).

The spelling of 151242300 in words is "one hundred fifty-one million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 15277 30554 45831 61108 76385 91662 137493 152770 168047 183324 229155 274986 305540 336094 381925 458310 504141 549972 672188 687465 763850 840235 916620 1008282 1145775 1374930 1512423 1527700 1680470 2016564 2291550 2520705 2749860 3024846 3360940 3437325 4201175 4583100 5041410 6049692 6874650 7562115 8402350 10082820 12603525 13749300 15124230 16804700 25207050 30248460 37810575 50414100 75621150 151242300