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150101973 = 32747163311
BaseRepresentation
bin10001111001001…
…01111111010101
3101110102222012100
420330211333111
5301411230343
622521112313
73501563040
oct1074457725
9343388170
10150101973
117780191a
1242328699
1325136448
1415d13c57
15d29e9d3
hex8f25fd5

150101973 has 48 divisors (see below), whose sum is σ = 255430656. Its totient is φ = 83164320.

The previous prime is 150101951. The next prime is 150101977. The reversal of 150101973 is 379101051.

It is a happy number.

It is not a de Polignac number, because 150101973 - 28 = 150101717 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150101977) 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 47 ways as a sum of consecutive naturals, for example, 482488 + ... + 482798.

It is an arithmetic number, because the mean of its divisors is an integer number (5321472).

Almost surely, 2150101973 is an apocalyptic number.

It is an amenable number.

150101973 is a deficient number, since it is larger than the sum of its proper divisors (105328683).

150101973 is a wasteful number, since it uses less digits than its factorization.

150101973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 150101973 is about 12251.6110369208. The cubic root of 150101973 is about 531.4496600756.

The spelling of 150101973 in words is "one hundred fifty million, one hundred one thousand, nine hundred seventy-three".

Divisors: 1 3 7 9 21 47 63 141 163 311 329 423 489 933 987 1141 1467 2177 2799 2961 3423 6531 7661 10269 14617 19593 22983 43851 50693 53627 68949 102319 131553 152079 160881 306957 354851 456237 482643 920871 1064553 2382571 3193659 7147713 16677997 21443139 50033991 150101973