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101334324 = 223713711307
BaseRepresentation
bin1100000101000…
…11110100110100
321001200022120010
412002203310310
5201420144244
614015540220
72340220230
oct602436464
9231608503
10101334324
1152222a83
1229b2a670
1317cbcc50
14d65b5c0
158d69eb9
hex60a3d34

101334324 has 96 divisors (see below), whose sum is σ = 295335936. Its totient is φ = 26328960.

The previous prime is 101334287. The next prime is 101334341. The reversal of 101334324 is 423433101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101334324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76879 + ... + 78185.

It is an arithmetic number, because the mean of its divisors is an integer number (3076416).

Almost surely, 2101334324 is an apocalyptic number.

101334324 is a gapful number since it is divisible by the number (14) 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 101334324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147667968).

101334324 is an abundant number, since it is smaller than the sum of its proper divisors (194001612).

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

101334324 is a wasteful number, since it uses less digits than its factorization.

101334324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 101334324 is about 10066.4951199511. The cubic root of 101334324 is about 466.2142297547.

Adding to 101334324 its reverse (423433101), we get a palindrome (524767425).

The spelling of 101334324 in words is "one hundred one million, three hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 71 78 84 91 142 156 182 213 273 284 364 426 497 546 852 923 994 1092 1307 1491 1846 1988 2614 2769 2982 3692 3921 5228 5538 5964 6461 7842 9149 11076 12922 15684 16991 18298 19383 25844 27447 33982 36596 38766 50973 54894 67964 77532 92797 101946 109788 118937 185594 203892 237874 278391 356811 371188 475748 556782 649579 713622 1113564 1206361 1299158 1427244 1948737 2412722 2598316 3619083 3897474 4825444 7238166 7794948 8444527 14476332 16889054 25333581 33778108 50667162 101334324