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10231320 = 23351123337
BaseRepresentation
bin100111000001…
…111000011000
3201020210201210
4213001320120
510104400240
61003143120
7152651631
oct47017030
921223653
1010231320
115858a40
123514aa0
132172c48
141504888
15d71780
hex9c1e18

10231320 has 128 divisors (see below), whose sum is σ = 35043840. Its totient is φ = 2365440.

The previous prime is 10231303. The next prime is 10231337. The reversal of 10231320 is 2313201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10231303) and next prime (10231337).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10231296 and 10231305.

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, 30192 + ... + 30528.

It is an arithmetic number, because the mean of its divisors is an integer number (273780).

Almost surely, 210231320 is an apocalyptic number.

10231320 is a gapful number since it is divisible by the number (10) 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 10231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521920).

10231320 is an abundant number, since it is smaller than the sum of its proper divisors (24812520).

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

10231320 is a wasteful number, since it uses less digits than its factorization.

10231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10231320 is about 3198.6434624697. The cubic root of 10231320 is about 217.0920348346.

Adding to 10231320 its reverse (2313201), we get a palindrome (12544521).

The spelling of 10231320 in words is "ten million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 337 345 440 460 506 552 660 674 690 759 920 1011 1012 1265 1320 1348 1380 1518 1685 2022 2024 2530 2696 2760 3036 3370 3707 3795 4044 5055 5060 6072 6740 7414 7590 7751 8088 10110 10120 11121 13480 14828 15180 15502 18535 20220 22242 23253 29656 30360 31004 37070 38755 40440 44484 46506 55605 62008 74140 77510 85261 88968 93012 111210 116265 148280 155020 170522 186024 222420 232530 255783 310040 341044 426305 444840 465060 511566 682088 852610 930120 1023132 1278915 1705220 2046264 2557830 3410440 5115660 10231320