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145043302131 = 357136559187
BaseRepresentation
bin1000011100010101000…
…0010010011011110011
3111212101022120011200000
42013011100102123303
54334022041132011
6150344301201043
713323210504030
oct2070520223363
9455338504600
10145043302131
1156570187732
122413a860183
13108a66a2440
14703d362387
153b8d87d356
hex21c54126f3

145043302131 has 48 divisors (see below), whose sum is σ = 267404976384. Its totient is φ = 76506345504.

The previous prime is 145043302087. The next prime is 145043302141. The reversal of 145043302131 is 131203340541.

It is a happy number.

145043302131 is a `hidden beast` number, since 14 + 5 + 0 + 433 + 0 + 213 + 1 = 666.

It is not a de Polignac number, because 145043302131 - 217 = 145043171059 is a prime.

It is a super-2 number, since 2×1450433021312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 145043302095 and 145043302104.

It is not an unprimeable number, because it can be changed into a prime (145043302141) 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, 3257481 + ... + 3301706.

It is an arithmetic number, because the mean of its divisors is an integer number (5570937008).

Almost surely, 2145043302131 is an apocalyptic number.

145043302131 is a deficient number, since it is larger than the sum of its proper divisors (122361674253).

145043302131 is an equidigital number, since it uses as much as digits as its factorization.

145043302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6559222 (or 6559210 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 145043302131 its reverse (131203340541), we get a palindrome (276246642672).

The spelling of 145043302131 in words is "one hundred forty-five billion, forty-three million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 243 273 351 567 819 1053 1701 2457 3159 7371 22113 6559187 19677561 45914309 59032683 85269431 137742927 177098049 255808293 413228781 531294147 596886017 767424879 1239686343 1593882441 1790658051 2302274637 3719059029 5371974153 6906823911 11157177087 16115922459 20720471733 48347767377 145043302131