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151200242120 = 235191131760599
BaseRepresentation
bin1000110011010000111…
…1001001100111001000
3112110021101221010112102
42030310033021213020
54434124230221440
6153243241532532
713631611565264
oct2146417114710
9473241833472
10151200242120
115913a65a894
12253787a4148
1311348129bb5
147464d450a4
153dee166b15
hex23343c99c8

151200242120 has 64 divisors (see below), whose sum is σ = 361275120000. Its totient is φ = 56789849088.

The previous prime is 151200242111. The next prime is 151200242129. The reversal of 151200242120 is 21242002151.

It is an interprime number because it is at equal distance from previous prime (151200242111) and next prime (151200242129).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 151200242092 and 151200242101.

It is not an unprimeable number, because it can be changed into a prime (151200242129) 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 15 ways as a sum of consecutive naturals, for example, 794420 + ... + 966179.

It is an arithmetic number, because the mean of its divisors is an integer number (5644923750).

Almost surely, 2151200242120 is an apocalyptic number.

151200242120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151200242120 is an abundant number, since it is smaller than the sum of its proper divisors (210074877880).

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

151200242120 is a wasteful number, since it uses less digits than its factorization.

151200242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760742 (or 1760738 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 151200242120 its reverse (21242002151), we get a palindrome (172442244271).

The spelling of 151200242120 in words is "one hundred fifty-one billion, two hundred million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 113 152 190 226 380 452 565 760 904 1130 2147 2260 4294 4520 8588 10735 17176 21470 42940 85880 1760599 3521198 7042396 8802995 14084792 17605990 33451381 35211980 66902762 70423960 133805524 167256905 198947687 267611048 334513810 397895374 669027620 795790748 994738435 1338055240 1591581496 1989476870 3780006053 3978953740 7560012106 7957907480 15120024212 18900030265 30240048424 37800060530 75600121060 151200242120