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10120231240 = 23571712171747
BaseRepresentation
bin10010110110011011…
…00111100101001000
3222010022000000101021
421123031213211020
5131211234344430
64352115402224
7505534355230
oct113315474510
928108000337
1010120231240
114323674579
121b652b3374
13c53895712
146c00dccc0
153e370c07a
hex25b367948

10120231240 has 128 divisors (see below), whose sum is σ = 27592669440. Its totient is φ = 3261136896.

The previous prime is 10120231217. The next prime is 10120231273. The reversal of 10120231240 is 4213202101.

10120231240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5792047 + ... + 5793793.

It is an arithmetic number, because the mean of its divisors is an integer number (215567730).

Almost surely, 210120231240 is an apocalyptic number.

10120231240 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 10120231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13796334720).

10120231240 is an abundant number, since it is smaller than the sum of its proper divisors (17472438200).

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

10120231240 is a wasteful number, since it uses less digits than its factorization.

10120231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10120231240 its reverse (4213202101), we get a palindrome (14333433341).

The spelling of 10120231240 in words is "ten billion, one hundred twenty million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 1217 1747 2380 2434 3494 4760 4868 6085 6988 8519 8735 9736 12170 12229 13976 17038 17470 20689 24340 24458 29699 34076 34940 41378 42595 48680 48916 59398 61145 68152 69880 82756 85190 97832 103445 118796 122290 144823 148495 165512 170380 206890 207893 237592 244580 289646 296990 340760 413780 415786 489160 579292 593980 724115 827560 831572 1039465 1158584 1187960 1448230 1663144 2078930 2126099 2896460 4157860 4252198 5792920 8315720 8504396 10630495 14882693 17008792 21260990 29765386 36143683 42521980 59530772 72287366 74413465 85043960 119061544 144574732 148826930 180718415 253005781 289149464 297653860 361436830 506011562 595307720 722873660 1012023124 1265028905 1445747320 2024046248 2530057810 5060115620 10120231240