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10112330320 = 2451710769491
BaseRepresentation
bin10010110101011110…
…11110101001010000
3222002202010121100121
421122233132221100
5131202224032240
64351234200024
7505410250411
oct113257365120
928082117317
1010112330320
11431a168494
121b62723014
13c5205a411
146bd043808
153e2b9b04a
hex25abdea50

10112330320 has 80 divisors (see below), whose sum is σ = 25127195328. Its totient is φ = 3771361280.

The previous prime is 10112330317. The next prime is 10112330353. The reversal of 10112330320 is 2303321101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10112330294 and 10112330303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110775 + ... + 180265.

Almost surely, 210112330320 is an apocalyptic number.

10112330320 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 10112330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563597664).

10112330320 is an abundant number, since it is smaller than the sum of its proper divisors (15014865008).

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

10112330320 is a wasteful number, since it uses less digits than its factorization.

10112330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69628 (or 69622 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10112330320 its reverse (2303321101), we get a palindrome (12415651421).

The spelling of 10112330320 in words is "ten billion, one hundred twelve million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 107 136 170 214 272 340 428 535 680 856 1070 1360 1712 1819 2140 3638 4280 7276 8560 9095 14552 18190 29104 36380 69491 72760 138982 145520 277964 347455 555928 694910 1111856 1181347 1389820 2362694 2779640 4725388 5559280 5906735 7435537 9450776 11813470 14871074 18901552 23626940 29742148 37177685 47253880 59484296 74355370 94507760 118968592 126404129 148710740 252808258 297421480 505616516 594842960 632020645 1011233032 1264041290 2022466064 2528082580 5056165160 10112330320