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34010131032 = 2332677050193
BaseRepresentation
bin11111101011001010…
…010110101001011000
310020210020001122222200
4133223022112221120
51024123043143112
623342443050200
72312542225653
oct375312265130
9106706048880
1034010131032
1113472917909
126711b10960
133290122bb7
141908c7889a
15d40c00cdc
hex7eb296a58

34010131032 has 48 divisors (see below), whose sum is σ = 93485572440. Its totient is φ = 11167504128.

The previous prime is 34010131021. The next prime is 34010131039. The reversal of 34010131032 is 23013101043.

34010131032 is a `hidden beast` number, since 340 + 10 + 1 + 310 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34010130996 and 34010131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010131039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3520273 + ... + 3529920.

Almost surely, 234010131032 is an apocalyptic number.

It is an amenable number.

34010131032 is an abundant number, since it is smaller than the sum of its proper divisors (59475441408).

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

34010131032 is a wasteful number, since it uses less digits than its factorization.

34010131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050272 (or 7050265 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 34010131032 its reverse (23013101043), we get a palindrome (57023232075).

The spelling of 34010131032 in words is "thirty-four billion, ten million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 7050193 14100386 21150579 28200772 42301158 56401544 63451737 84602316 126903474 169204632 253806948 472362931 507613896 944725862 1417088793 1889451724 2834177586 3778903448 4251266379 5668355172 8502532758 11336710344 17005065516 34010131032