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10021043712 = 293471271093
BaseRepresentation
bin10010101010100110…
…01111111000000000
3221212101100202200010
421111103033320000
5131010341344322
64334213424520
7503221315611
oct112523177000
927771322603
1010021043712
114282688509
121b3803b140
13c39177984
146b0c7dc08
153d9b6820c
hex2554cfe00

10021043712 has 160 divisors (see below), whose sum is σ = 27504525312. Its totient is φ = 3240566784.

The previous prime is 10021043693. The next prime is 10021043743. The reversal of 10021043712 is 21734012001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9167838 + ... + 9168930.

Almost surely, 210021043712 is an apocalyptic number.

10021043712 is a gapful number since it is divisible by the number (12) 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 10021043712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752262656).

10021043712 is an abundant number, since it is smaller than the sum of its proper divisors (17483481600).

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

10021043712 is a wasteful number, since it uses less digits than its factorization.

10021043712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 10021043712 its reverse (21734012001), we get a palindrome (31755055713).

The spelling of 10021043712 in words is "ten billion, twenty-one million, forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 127 128 141 188 192 254 256 282 376 381 384 508 512 564 752 762 768 1016 1093 1128 1504 1524 1536 2032 2186 2256 3008 3048 3279 4064 4372 4512 5969 6016 6096 6558 8128 8744 9024 11938 12032 12192 13116 16256 17488 17907 18048 23876 24064 24384 26232 32512 34976 35814 36096 47752 48768 51371 52464 65024 69952 71628 72192 95504 97536 102742 104928 138811 139904 143256 154113 191008 195072 205484 209856 277622 279808 286512 308226 382016 410968 416433 419712 555244 559616 573024 616452 764032 821936 832866 839424 1110488 1146048 1232904 1528064 1643872 1665732 1678848 2220976 2292096 2465808 3056128 3287744 3331464 4441952 4584192 4931616 6524117 6575488 6662928 8883904 9168384 9863232 13048234 13150976 13325856 17767808 19572351 19726464 26096468 26301952 26651712 35535616 39144702 39452928 52192936 53303424 71071232 78289404 78905856 104385872 106606848 156578808 208771744 213213696 313157616 417543488 626315232 835086976 1252630464 1670173952 2505260928 3340347904 5010521856 10021043712