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10342002320 = 2451323312311
BaseRepresentation
bin10011010000110111…
…00110111010010000
3222200202022011002222
421220123212322100
5132140023033240
64430121000212
7514166366156
oct115033467220
928622264088
1010342002320
114427877461
122007623068
13c8a803300
1470174b3d6
15407e16eb5
hex2686e6e90

10342002320 has 120 divisors (see below), whose sum is σ = 26127024192. Its totient is φ = 3805401600.

The previous prime is 10342002317. The next prime is 10342002323. The reversal of 10342002320 is 2320024301.

It is an interprime number because it is at equal distance from previous prime (10342002317) and next prime (10342002323).

It is not an unprimeable number, because it can be changed into a prime (10342002323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4473965 + ... + 4476275.

Almost surely, 210342002320 is an apocalyptic number.

10342002320 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 10342002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063512096).

10342002320 is an abundant number, since it is smaller than the sum of its proper divisors (15785021872).

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

10342002320 is a wasteful number, since it uses less digits than its factorization.

10342002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 10342002320 its reverse (2320024301), we get a palindrome (12662026621).

The spelling of 10342002320 in words is "ten billion, three hundred forty-two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 331 338 520 662 676 845 1040 1324 1352 1655 1690 2311 2648 2704 3310 3380 4303 4622 5296 6620 6760 8606 9244 11555 13240 13520 17212 18488 21515 23110 26480 30043 34424 36976 43030 46220 55939 60086 68848 86060 92440 111878 120172 150215 172120 184880 223756 240344 279695 300430 344240 390559 447512 480688 559390 600860 764941 781118 895024 1118780 1201720 1529882 1562236 1952795 2237560 2403440 3059764 3124472 3824705 3905590 4475120 6119528 6248944 7649410 7811180 9944233 12239056 15298820 15622360 19888466 30597640 31244720 39776932 49721165 61195280 79553864 99442330 129275029 159107728 198884660 258550058 397769320 517100116 646375145 795538640 1034200232 1292750290 2068400464 2585500580 5171001160 10342002320