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10320442000 = 2453111313581
BaseRepresentation
bin10011001110010010…
…10111001010010000
3222122020201202220121
421213021113022100
5132114013121000
64424030520024
7513515211121
oct114711271220
928566652817
1010320442000
114416690910
122000366014
13c861c491b
146dc938048
154060a8b1a
hex267257290

10320442000 has 160 divisors (see below), whose sum is σ = 27438922368. Its totient is φ = 3723200000.

The previous prime is 10320441979. The next prime is 10320442043. The reversal of 10320442000 is 24402301.

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

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, 2880210 + ... + 2883790.

Almost surely, 210320442000 is an apocalyptic number.

10320442000 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 10320442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13719461184).

10320442000 is an abundant number, since it is smaller than the sum of its proper divisors (17118480368).

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

10320442000 is a wasteful number, since it uses less digits than its factorization.

10320442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10320442000 its reverse (24402301), we get a palindrome (10344844301).

The spelling of 10320442000 in words is "ten billion, three hundred twenty million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 131 176 200 220 250 262 275 400 440 500 524 550 655 880 1000 1048 1100 1310 1375 1441 2000 2096 2200 2620 2750 2882 3275 3581 4400 5240 5500 5764 6550 7162 7205 10480 11000 11528 13100 14324 14410 16375 17905 22000 23056 26200 28648 28820 32750 35810 36025 39391 52400 57296 57640 65500 71620 72050 78782 89525 115280 131000 143240 144100 157564 179050 180125 196955 262000 286480 288200 315128 358100 360250 393910 447625 469111 576400 630256 716200 720500 787820 895250 938222 984775 1432400 1441000 1575640 1790500 1876444 1969550 2345555 2882000 3151280 3581000 3752888 3939100 4691110 4923875 5160221 7162000 7505776 7878200 9382220 9847750 10320442 11727775 15756400 18764440 19695500 20640884 23455550 25801105 37528880 39391000 41281768 46911100 51602210 58638875 78782000 82563536 93822200 103204420 117277750 129005525 187644400 206408840 234555500 258011050 412817680 469111000 516022100 645027625 938222000 1032044200 1290055250 2064088400 2580110500 5160221000 10320442000