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10042333000 = 2353713910321
BaseRepresentation
bin10010101101001000…
…11101011101001000
3221220212102101002021
421112210131131020
5131031314124000
64340254014224
7503600264530
oct112644353510
927825371067
1010042333000
1142936a9467
121b431a7374
13c406bcb9b
146b3a224c0
153db97111a
hex25691d748

10042333000 has 128 divisors (see below), whose sum is σ = 27051897600. Its totient is φ = 3417984000.

The previous prime is 10042332997. The next prime is 10042333013. The reversal of 10042333000 is 33324001.

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, 967840 + ... + 978160.

It is an arithmetic number, because the mean of its divisors is an integer number (211342950).

Almost surely, 210042333000 is an apocalyptic number.

10042333000 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 10042333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13525948800).

10042333000 is an abundant number, since it is smaller than the sum of its proper divisors (17009564600).

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

10042333000 is a wasteful number, since it uses less digits than its factorization.

10042333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10488 (or 10474 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10042333000 its reverse (33324001), we get a palindrome (10075657001).

The spelling of 10042333000 in words is "ten billion, forty-two million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 139 140 175 200 250 278 280 350 500 556 695 700 875 973 1000 1112 1390 1400 1750 1946 2780 3475 3500 3892 4865 5560 6950 7000 7784 9730 10321 13900 17375 19460 20642 24325 27800 34750 38920 41284 48650 51605 69500 72247 82568 97300 103210 121625 139000 144494 194600 206420 243250 258025 288988 361235 412840 486500 516050 577976 722470 973000 1032100 1290125 1434619 1444940 1806175 2064200 2580250 2869238 2889880 3612350 5160500 5738476 7173095 7224700 9030875 10042333 10321000 11476952 14346190 14449400 18061750 20084666 28692380 35865475 36123500 40169332 50211665 57384760 71730950 72247000 80338664 100423330 143461900 179327375 200846660 251058325 286923800 358654750 401693320 502116650 717309500 1004233300 1255291625 1434619000 2008466600 2510583250 5021166500 10042333000