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101301330 = 235131092383
BaseRepresentation
bin1100000100110…
…11110001010010
321001121122022010
412002123301102
5201413120310
614015123350
72340022104
oct602336122
9231548263
10101301330
1152200209
1229b13556
1317caac20
14d64d574
158d60320
hex609bc52

101301330 has 64 divisors (see below), whose sum is σ = 264337920. Its totient is φ = 24696576.

The previous prime is 101301329. The next prime is 101301337. The reversal of 101301330 is 33103101.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101301337) 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, 41319 + ... + 43701.

It is an arithmetic number, because the mean of its divisors is an integer number (4130280).

Almost surely, 2101301330 is an apocalyptic number.

101301330 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 101301330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132168960).

101301330 is an abundant number, since it is smaller than the sum of its proper divisors (163036590).

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

101301330 is a wasteful number, since it uses less digits than its factorization.

101301330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 101301330 is about 10064.8561837713. The cubic root of 101301330 is about 466.1636251768.

Adding to 101301330 its reverse (33103101), we get a palindrome (134404431).

The spelling of 101301330 in words is "one hundred one million, three hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 109 130 195 218 327 390 545 654 1090 1417 1635 2383 2834 3270 4251 4766 7085 7149 8502 11915 14170 14298 21255 23830 30979 35745 42510 61958 71490 92937 154895 185874 259747 309790 464685 519494 779241 929370 1298735 1558482 2597470 3376711 3896205 6753422 7792410 10130133 16883555 20260266 33767110 50650665 101301330