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10310300112 = 24373797927
BaseRepresentation
bin10011001101000101…
…01011000111010000
3222121112122111212010
421212202223013100
5132103414100422
64423025302520
7513333051000
oct114642530720
928545574763
1010310300112
114410994092
121bb8a94a40
13c840835c8
146db458000
15405253b0c
hex2668ab1d0

10310300112 has 160 divisors (see below), whose sum is σ = 31458304000. Its totient is φ = 2908144512.

The previous prime is 10310300069. The next prime is 10310300129. The reversal of 10310300112 is 21100301301.

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

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, 1296693 + ... + 1304619.

It is an arithmetic number, because the mean of its divisors is an integer number (196614400).

Almost surely, 210310300112 is an apocalyptic number.

10310300112 is a gapful number since it is divisible by the number (12) 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 10310300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15729152000).

10310300112 is an abundant number, since it is smaller than the sum of its proper divisors (21148003888).

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

10310300112 is an equidigital number, since it uses as much as digits as its factorization.

10310300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10310300112 its reverse (21100301301), we get a palindrome (31410601413).

The spelling of 10310300112 in words is "ten billion, three hundred ten million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 79 84 98 112 147 158 168 196 237 294 316 336 343 392 474 553 588 632 686 784 948 1029 1106 1176 1264 1372 1659 1896 2058 2212 2352 2744 3318 3792 3871 4116 4424 5488 6636 7742 7927 8232 8848 11613 13272 15484 15854 16464 23226 23781 26544 27097 30968 31708 46452 47562 54194 55489 61936 63416 81291 92904 95124 108388 110978 126832 162582 166467 185808 190248 216776 221956 325164 332934 380496 388423 433552 443912 626233 650328 665868 776846 887824 1165269 1252466 1300656 1331736 1553692 1878699 2330538 2504932 2663472 2718961 3107384 3757398 4383631 4661076 5009864 5437922 6214768 7514796 8156883 8767262 9322152 10019728 10875844 13150893 15029592 16313766 17534524 18644304 21751688 26301786 30059184 30685417 32627532 35069048 43503376 52603572 61370834 65255064 70138096 92056251 105207144 122741668 130510128 184112502 210414288 214797919 245483336 368225004 429595838 490966672 644393757 736450008 859191676 1288787514 1472900016 1718383352 2577575028 3436766704 5155150056 10310300112