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147503031 = 31321072719
BaseRepresentation
bin10001100101010…
…11011110110111
3101021112221010020
420302223132313
5300230044111
622345300223
73440516664
oct1062533667
9337487106
10147503031
1176297235
1241494673
1324736500
1415838a6b
15ce39906
hex8cab7b7

147503031 has 24 divisors (see below), whose sum is σ = 215032320. Its totient is φ = 89889696.

The previous prime is 147503021. The next prime is 147503129. The reversal of 147503031 is 130305741.

It is not a de Polignac number, because 147503031 - 210 = 147502007 is a prime.

It is a super-5 number, since 5×1475030315 (a number of 42 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 147502992 and 147503010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147503021) 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 23 ways as a sum of consecutive naturals, for example, 52890 + ... + 55608.

It is an arithmetic number, because the mean of its divisors is an integer number (8959680).

Almost surely, 2147503031 is an apocalyptic number.

147503031 is a deficient number, since it is larger than the sum of its proper divisors (67529289).

147503031 is a wasteful number, since it uses less digits than its factorization.

147503031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 147503031 is about 12145.0825851453. The cubic root of 147503031 is about 528.3645217275.

Adding to 147503031 its reverse (130305741), we get a palindrome (277808772).

The spelling of 147503031 in words is "one hundred forty-seven million, five hundred three thousand, thirty-one".

Divisors: 1 3 13 39 107 169 321 507 1391 2719 4173 8157 18083 35347 54249 106041 290933 459511 872799 1378533 3782129 11346387 49167677 147503031