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101061378 = 23311215467
BaseRepresentation
bin1100000011000…
…01001100000010
321001011110011000
412001201030002
5201332431003
614010032430
72335002405
oct601411402
9231143130
10101061378
1152056a00
1229a18716
1317c25942
14d5c9d3c
158d141a3
hex6061302

101061378 has 48 divisors (see below), whose sum is σ = 246869280. Its totient is φ = 30622680.

The previous prime is 101061377. The next prime is 101061383. The reversal of 101061378 is 873160101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101061377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1200 + ... + 14267.

It is an arithmetic number, because the mean of its divisors is an integer number (5143110).

Almost surely, 2101061378 is an apocalyptic number.

101061378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101061378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123434640).

101061378 is an abundant number, since it is smaller than the sum of its proper divisors (145807902).

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

101061378 is a wasteful number, since it uses less digits than its factorization.

101061378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15500 (or 15483 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 101061378 is about 10052.9288269638. The cubic root of 101061378 is about 465.7952676278.

The spelling of 101061378 in words is "one hundred one million, sixty-one thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 15467 30934 46401 92802 139203 170137 278406 340274 417609 510411 835218 1020822 1531233 1871507 3062466 3743014 4593699 5614521 9187398 11229042 16843563 33687126 50530689 101061378