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10012003232 = 2571127714669
BaseRepresentation
bin10010101001100001…
…10000101110100000
3221211202100110110112
421110300300232200
5131001033100412
64333251550452
7503051423540
oct112460605640
927752313415
1010012003232
114278573240
121b34bbb428
13c37330a8a
146ad9a9320
153d8e7e722
hex254c30ba0

10012003232 has 96 divisors (see below), whose sum is σ = 24665316480. Its totient is φ = 3886433280.

The previous prime is 10012003229. The next prime is 10012003249. The reversal of 10012003232 is 23230021001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675194 + ... + 689862.

It is an arithmetic number, because the mean of its divisors is an integer number (256930380).

Almost surely, 210012003232 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 10012003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332658240).

10012003232 is an abundant number, since it is smaller than the sum of its proper divisors (14653313248).

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

10012003232 is a wasteful number, since it uses less digits than its factorization.

10012003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14974 (or 14966 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10012003232 its reverse (23230021001), we get a palindrome (33242024233).

The spelling of 10012003232 in words is "ten billion, twelve million, three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 277 308 352 554 616 1108 1232 1939 2216 2464 3047 3878 4432 6094 7756 8864 12188 14669 15512 21329 24376 29338 31024 42658 48752 58676 62048 85316 97504 102683 117352 161359 170632 205366 234704 322718 341264 410732 469408 645436 682528 821464 1129513 1290872 1642928 2259026 2581744 3285856 4063313 4518052 5163488 8126626 9036104 16253252 18072208 28443191 32506504 36144416 44696443 56886382 65013008 89392886 113772764 130026016 178785772 227545528 312875101 357571544 455091056 625750202 715143088 910182112 1251500404 1430286176 2503000808 5006001616 10012003232