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101145808336 = 2440115764621
BaseRepresentation
bin101111000110011000…
…0101000110111010000
3100200002000200102210111
41132030300220313100
53124121311331321
6114244333411104
710210326120406
oct1361460506720
9320060612714
10101145808336
1139994198941
1217729639a94
1396cc00b941
144c772c5476
15296eb1d5e1
hex178cc28dd0

101145808336 has 20 divisors (see below), whose sum is σ = 196458719364. Its totient is φ = 50446784000.

The previous prime is 101145808333. The next prime is 101145808339. The reversal of 101145808336 is 633808541101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101145808333) and next prime (101145808339).

It can be written as a sum of positive squares in 2 ways, for example, as 100714830736 + 430977600 = 317356^2 + 20760^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101145808331) 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 3 ways as a sum of consecutive naturals, for example, 7875895 + ... + 7888726.

Almost surely, 2101145808336 is an apocalyptic number.

101145808336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101145808336 is a deficient number, since it is larger than the sum of its proper divisors (95312911028).

101145808336 is a wasteful number, since it uses less digits than its factorization.

101145808336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15765030 (or 15765024 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 101145808336 in words is "one hundred one billion, one hundred forty-five million, eight hundred eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 401 802 1604 3208 6416 15764621 31529242 63058484 126116968 252233936 6321613021 12643226042 25286452084 50572904168 101145808336