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101323314 = 23219231503
BaseRepresentation
bin1100000101000…
…01001000110010
321001122202110100
412002201020302
5201414321224
614015413230
72340143151
oct602411062
9231582410
10101323314
1152215784
1229b24216
1317cb7c31
14d657598
158d66ac9
hex60a1232

101323314 has 72 divisors (see below), whose sum is σ = 239645952. Its totient is φ = 30903120.

The previous prime is 101323309. The next prime is 101323331. The reversal of 101323314 is 413323101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201187 + ... + 201689.

It is an arithmetic number, because the mean of its divisors is an integer number (3328416).

Almost surely, 2101323314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101323314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

101323314 is an abundant number, since it is smaller than the sum of its proper divisors (138322638).

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

101323314 is a wasteful number, since it uses less digits than its factorization.

101323314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 101323314 is about 10065.9482414723. The cubic root of 101323314 is about 466.1973443784.

Adding to 101323314 its reverse (413323101), we get a palindrome (514646415).

The spelling of 101323314 in words is "one hundred one million, three hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 361 503 558 589 722 1006 1083 1178 1509 1767 2166 3018 3249 3534 4527 5301 6498 9054 9557 10602 11191 15593 19114 22382 28671 31186 33573 46779 57342 67146 86013 93558 100719 140337 172026 181583 201438 280674 296267 363166 544749 592534 888801 1089498 1634247 1777602 2666403 3268494 5332806 5629073 11258146 16887219 33774438 50661657 101323314