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101331114432 = 263527766221
BaseRepresentation
bin101111001011111001…
…1100001100111000000
3100200112221100221222020
41132113303201213000
53130011231130212
6114314553241440
710215036155412
oct1362763414700
9320487327866
10101331114432
1139a79855079
121777b703280
13972b51ca12
144c93b609b2
152981023d8c
hex1797ce19c0

101331114432 has 28 divisors (see below), whose sum is σ = 268105240776. Its totient is φ = 33777038080.

The previous prime is 101331114419. The next prime is 101331114491. The reversal of 101331114432 is 234411133101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 3 ways as a sum of consecutive naturals, for example, 263882919 + ... + 263883302.

Almost surely, 2101331114432 is an apocalyptic number.

101331114432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101331114432 is an abundant number, since it is smaller than the sum of its proper divisors (166774126344).

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

101331114432 is an equidigital number, since it uses as much as digits as its factorization.

101331114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527766236 (or 527766226 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101331114432 its reverse (234411133101), we get a palindrome (335742247533).

The spelling of 101331114432 in words is "one hundred one billion, three hundred thirty-one million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 527766221 1055532442 1583298663 2111064884 3166597326 4222129768 6333194652 8444259536 12666389304 16888519072 25332778608 33777038144 50665557216 101331114432