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101550042 = 232114011279
BaseRepresentation
bin1100000110110…
…00011111011010
321002002021110200
412003120133122
5201444100132
614024323030
72342106156
oct603303732
9232067420
10101550042
1152360060
122a013476
13180671a9
14d6b6066
158dadd7c
hex60d87da

101550042 has 48 divisors (see below), whose sum is σ = 240814080. Its totient is φ = 30672000.

The previous prime is 101550023. The next prime is 101550077. The reversal of 101550042 is 240055101.

It is a super-2 number, since 2×1015500422 = 20624822060403528, which contains 22 as substring.

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 = 101549997 and 101550024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78759 + ... + 80037.

It is an arithmetic number, because the mean of its divisors is an integer number (5016960).

Almost surely, 2101550042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101550042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120407040).

101550042 is an abundant number, since it is smaller than the sum of its proper divisors (139264038).

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

101550042 is a wasteful number, since it uses less digits than its factorization.

101550042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 101550042 is about 10077.2040765284. The cubic root of 101550042 is about 466.5448170533.

The spelling of 101550042 in words is "one hundred one million, five hundred fifty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 401 802 1203 1279 2406 2558 3609 3837 4411 7218 7674 8822 11511 13233 14069 23022 26466 28138 39699 42207 79398 84414 126621 253242 512879 1025758 1538637 3077274 4615911 5641669 9231822 11283338 16925007 33850014 50775021 101550042