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101148380 = 22537532579
BaseRepresentation
bin1100000011101…
…10011011011100
321001022212111022
412001312123130
5201343222010
614011543312
72335514144
oct601663334
9231285438
10101148380
1152106303
1229a5ab38
1317c56418
14d60d924
158d2ed55
hex60766dc

101148380 has 48 divisors (see below), whose sum is σ = 222354720. Its totient is φ = 38608128.

The previous prime is 101148379. The next prime is 101148389. The reversal of 101148380 is 83841101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101148389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37931 + ... + 40509.

It is an arithmetic number, because the mean of its divisors is an integer number (4632390).

Almost surely, 2101148380 is an apocalyptic number.

101148380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101148380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111177360).

101148380 is an abundant number, since it is smaller than the sum of its proper divisors (121206340).

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

101148380 is a wasteful number, since it uses less digits than its factorization.

101148380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 101148380 is about 10057.2550927179. The cubic root of 101148380 is about 465.9288943310.

Adding to 101148380 its reverse (83841101), we get a palindrome (184989481).

The spelling of 101148380 in words is "one hundred one million, one hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 37 53 74 106 148 185 212 265 370 530 740 1060 1961 2579 3922 5158 7844 9805 10316 12895 19610 25790 39220 51580 95423 136687 190846 273374 381692 477115 546748 683435 954230 1366870 1908460 2733740 5057419 10114838 20229676 25287095 50574190 101148380