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10031201024 = 281316718049
BaseRepresentation
bin10010101011110011…
…11111101100000000
3221220002110210212212
421111321333230000
5131020441413044
64335215241252
7503403542015
oct112571775400
927802423785
1010031201024
114288395889
121b3b519228
13c3b2c3010
146b236570c
153da9c2a9e
hex255e7fb00

10031201024 has 72 divisors (see below), whose sum is σ = 21693789600. Its totient is φ = 4601806848.

The previous prime is 10031201021. The next prime is 10031201029. The reversal of 10031201024 is 42010213001.

It is not an unprimeable number, because it can be changed into a prime (10031201021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546752 + ... + 564800.

Almost surely, 210031201024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10846894800).

10031201024 is an abundant number, since it is smaller than the sum of its proper divisors (11662588576).

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

10031201024 is a wasteful number, since it uses less digits than its factorization.

10031201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18245 (or 18231 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10031201024 its reverse (42010213001), we get a palindrome (52041414025).

The spelling of 10031201024 in words is "ten billion, thirty-one million, two hundred one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 167 208 256 334 416 668 832 1336 1664 2171 2672 3328 4342 5344 8684 10688 17368 18049 21376 34736 36098 42752 69472 72196 138944 144392 234637 277888 288784 469274 555776 577568 938548 1155136 1877096 2310272 3014183 3754192 4620544 6028366 7508384 12056732 15016768 24113464 30033536 39184379 48226928 60067072 78368758 96453856 156737516 192907712 313475032 385815424 626950064 771630848 1253900128 2507800256 5015600512 10031201024