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101433230132 = 22132178826421
BaseRepresentation
bin101111001110111100…
…1000100001100110100
3100200211001111222101012
41132131321010030310
53130213401331012
6114333042051352
710220416142003
oct1363571041464
9320731458335
10101433230132
113a021461113
12177a9949b58
139746724500
144ca3542c3a
152989e95622
hex179de44334

101433230132 has 36 divisors (see below), whose sum is σ = 203519638476. Its totient is φ = 44061488640.

The previous prime is 101433230113. The next prime is 101433230153. The reversal of 101433230132 is 231032334101.

It can be written as a sum of positive squares in 6 ways, for example, as 1877835556 + 99555394576 = 43334^2 + 315524^2 .

It is a super-2 number, since 2×1014332301322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101433230098 and 101433230107.

It is a congruent number.

It is an unprimeable number.

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, 4401719 + ... + 4424702.

It is an arithmetic number, because the mean of its divisors is an integer number (5653323291).

Almost surely, 2101433230132 is an apocalyptic number.

It is an amenable number.

101433230132 is an abundant number, since it is smaller than the sum of its proper divisors (102086408344).

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

101433230132 is a wasteful number, since it uses less digits than its factorization.

101433230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826468 (or 8826453 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 101433230132 its reverse (231032334101), we get a palindrome (332465564233).

The spelling of 101433230132 in words is "one hundred one billion, four hundred thirty-three million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 338 442 676 884 2873 5746 11492 8826421 17652842 35305684 114743473 150049157 229486946 300098314 458973892 600196628 1491665149 1950639041 2983330298 3901278082 5966660596 7802556164 25358307533 50716615066 101433230132