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100032012981 = 3213218413829
BaseRepresentation
bin101110100101001011…
…1110110001010110101
3100120012101212202210200
41131022113312022311
53114331143403411
6113542025111113
710140613036545
oct1351227661265
9316171782720
10100032012981
1139472510a0a
1217478628499
13958233aa34
144bad3d5325
152906e5ee56
hex174a5f62b5

100032012981 has 12 divisors (see below), whose sum is σ = 144600082380. Its totient is φ = 66637517760.

The previous prime is 100032012923. The next prime is 100032013019. The reversal of 100032012981 is 189210230001.

It can be written as a sum of positive squares in 2 ways, for example, as 76171032081 + 23860980900 = 275991^2 + 154470^2 .

It is not a de Polignac number, because 100032012981 - 210 = 100032011957 is a prime.

It is a super-2 number, since 2×1000320129812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032012181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4195026 + ... + 4218803.

It is an arithmetic number, because the mean of its divisors is an integer number (12050006865).

Almost surely, 2100032012981 is an apocalyptic number.

It is an amenable number.

100032012981 is a deficient number, since it is larger than the sum of its proper divisors (44568069399).

100032012981 is a wasteful number, since it uses less digits than its factorization.

100032012981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8415156 (or 8415153 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 100032012981 its reverse (189210230001), we get a palindrome (289242242982).

The spelling of 100032012981 in words is "one hundred billion, thirty-two million, twelve thousand, nine hundred eighty-one".

Divisors: 1 3 9 1321 3963 11889 8413829 25241487 75724461 11114668109 33344004327 100032012981