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101451330 = 23259711621
BaseRepresentation
bin1100000110000…
…00011001000010
321001220021001200
412003000121002
5201432420310
614022242030
72341215321
oct603003102
9231807050
10101451330
11522a2982
1229b86316
1318031296
14d68c0b8
158d8e9c0
hex60c0642

101451330 has 48 divisors (see below), whose sum is σ = 266515704. Its totient is φ = 26772480.

The previous prime is 101451323. The next prime is 101451347. The reversal of 101451330 is 33154101.

It can be written as a sum of positive squares in 4 ways, for example, as 54952569 + 46498761 = 7413^2 + 6819^2 .

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 23 ways as a sum of consecutive naturals, for example, 2920 + ... + 14540.

Almost surely, 2101451330 is an apocalyptic number.

101451330 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 101451330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133257852).

101451330 is an abundant number, since it is smaller than the sum of its proper divisors (165064374).

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

101451330 is a wasteful number, since it uses less digits than its factorization.

101451330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11731 (or 11728 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 101451330 is about 10072.3050986356. The cubic root of 101451330 is about 466.3935993177.

The spelling of 101451330 in words is "one hundred one million, four hundred fifty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 4365 8730 11621 23242 34863 58105 69726 104589 116210 174315 209178 348630 522945 1045890 1127237 2254474 3381711 5636185 6763422 10145133 11272370 16908555 20290266 33817110 50725665 101451330