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10231232310 = 2345131317417
BaseRepresentation
bin10011000011101010…
…00011011100110110
3222102000212110020000
421201311003130312
5131423143413220
64411122452130
7511353016425
oct114165033466
928360773200
1010231232310
11438029a2a2
121b96504046
13c7088b620
146d0b552bc
153ed336390
hex261d43736

10231232310 has 160 divisors (see below), whose sum is σ = 29857034592. Its totient is φ = 2498895360.

The previous prime is 10231232279. The next prime is 10231232321. The reversal of 10231232310 is 1323213201.

10231232310 is a `hidden beast` number, since 10 + 2 + 312 + 32 + 310 = 666.

10231232310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102312323102 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1375722 + ... + 1383138.

Almost surely, 210231232310 is an apocalyptic number.

10231232310 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 10231232310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928517296).

10231232310 is an abundant number, since it is smaller than the sum of its proper divisors (19625802282).

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

10231232310 is a wasteful number, since it uses less digits than its factorization.

10231232310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 7571 counting only the distinct ones).

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

Adding to 10231232310 its reverse (1323213201), we get a palindrome (11554445511).

The spelling of 10231232310 in words is "ten billion, two hundred thirty-one million, two hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 131 135 162 195 234 262 270 351 390 393 405 585 655 702 786 810 1053 1170 1179 1310 1703 1755 1965 2106 2358 3406 3510 3537 3930 5109 5265 5895 7074 7417 8515 10218 10530 10611 11790 14834 15327 17030 17685 21222 22251 25545 30654 35370 37085 44502 45981 51090 53055 66753 74170 76635 91962 96421 106110 111255 133506 137943 153270 192842 200259 222510 229905 275886 289263 333765 400518 459810 482105 578526 600777 667530 689715 867789 964210 971627 1001295 1201554 1379430 1446315 1735578 1943254 2002590 2603367 2892630 2914881 3003885 4338945 4858135 5206734 5829762 6007770 7810101 8677890 8744643 9716270 12631151 13016835 14574405 15620202 17489286 25262302 26033670 26233929 29148810 37893453 39050505 43723215 52467858 63155755 75786906 78101010 78701787 87446430 113680359 126311510 131169645 157403574 189467265 227360718 262339290 341041077 378934530 393508935 568401795 682082154 787017870 1023123231 1136803590 1705205385 2046246462 3410410770 5115616155 10231232310