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100386330 = 235111072843
BaseRepresentation
bin1011111101111…
…00011000011010
320222220011011020
411332330120122
5201144330310
613543343310
72326161342
oct576743032
9228804136
10100386330
1151735810
1229751b36
1317a4a5c5
14d491d22
158c2e170
hex5fbc61a

100386330 has 64 divisors (see below), whose sum is σ = 265379328. Its totient is φ = 24100160.

The previous prime is 100386289. The next prime is 100386331. The reversal of 100386330 is 33683001.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100386330.

It is not an unprimeable number, because it can be changed into a prime (100386331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33889 + ... + 36731.

It is an arithmetic number, because the mean of its divisors is an integer number (4146552).

Almost surely, 2100386330 is an apocalyptic number.

100386330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100386330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132689664).

100386330 is an abundant number, since it is smaller than the sum of its proper divisors (164992998).

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

100386330 is a wasteful number, since it uses less digits than its factorization.

100386330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 100386330 is about 10019.2978795922. The cubic root of 100386330 is about 464.7558436125.

The spelling of 100386330 in words is "one hundred million, three hundred eighty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 107 110 165 214 321 330 535 642 1070 1177 1605 2354 2843 3210 3531 5686 5885 7062 8529 11770 14215 17058 17655 28430 31273 35310 42645 62546 85290 93819 156365 187638 304201 312730 469095 608402 912603 938190 1521005 1825206 3042010 3346211 4563015 6692422 9126030 10038633 16731055 20077266 33462110 50193165 100386330