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101240388 = 22332353769
BaseRepresentation
bin1100000100011…
…00111001000100
321001111112201000
412002030321010
5201404143023
614013533300
72336346324
oct602147104
9231445630
10101240388
1152169447
1229aa4230
1317c89272
14d635284
158d4c243
hex608ce44

101240388 has 96 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 31629312.

The previous prime is 101240383. The next prime is 101240393. The reversal of 101240388 is 883042101.

It is an interprime number because it is at equal distance from previous prime (101240383) and next prime (101240393).

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

It is not an unprimeable number, because it can be changed into a prime (101240383) 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, 131268 + ... + 132036.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2101240388 is an apocalyptic number.

101240388 is a gapful number since it is divisible by the number (18) 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 101240388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

101240388 is an abundant number, since it is smaller than the sum of its proper divisors (178177212).

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

101240388 is a wasteful number, since it uses less digits than its factorization.

101240388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 101240388 is about 10061.8282632929. The cubic root of 101240388 is about 466.0701264294.

Adding to 101240388 its reverse (883042101), we get a palindrome (984282489).

The spelling of 101240388 in words is "one hundred one million, two hundred forty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 53 54 69 92 106 108 138 159 207 212 276 318 414 477 621 636 769 828 954 1219 1242 1431 1538 1908 2307 2438 2484 2862 3076 3657 4614 4876 5724 6921 7314 9228 10971 13842 14628 17687 20763 21942 27684 32913 35374 40757 41526 43884 53061 65826 70748 81514 83052 106122 122271 131652 159183 163028 212244 244542 318366 366813 477549 489084 636732 733626 937411 955098 1100439 1467252 1874822 1910196 2200878 2812233 3749644 4401756 5624466 8436699 11248932 16873398 25310097 33746796 50620194 101240388