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10031023989 = 3371931251359
BaseRepresentation
bin10010101011110010…
…10100011101110101
3221220002010211001000
421111321110131311
5131020420231424
64335211353513
7503402203620
oct112571243565
927802124030
1010031023989
114288284878
121b3b452899
13c3b26056c
146b231adb7
153da98a3c9
hex255e54775

10031023989 has 128 divisors (see below), whose sum is σ = 18579456000. Its totient is φ = 5219640000.

The previous prime is 10031023967. The next prime is 10031024039. The reversal of 10031023989 is 98932013001.

10031023989 is a `hidden beast` number, since 100 + 310 + 239 + 8 + 9 = 666.

It is not a de Polignac number, because 10031023989 - 211 = 10031021941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031023939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27941392 + ... + 27941750.

It is an arithmetic number, because the mean of its divisors is an integer number (145152000).

Almost surely, 210031023989 is an apocalyptic number.

10031023989 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10031023989 is a deficient number, since it is larger than the sum of its proper divisors (8548432011).

10031023989 is a wasteful number, since it uses less digits than its factorization.

10031023989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Adding to 10031023989 its sum of digits (36), we get a square (10031024025 = 1001552).

The spelling of 10031023989 in words is "ten billion, thirty-one million, twenty-three thousand, nine hundred eighty-nine".

Divisors: 1 3 7 9 19 21 27 31 57 63 93 133 171 189 217 251 279 359 399 513 589 651 753 837 1077 1197 1757 1767 1953 2259 2513 3231 3591 4123 4769 5271 5301 5859 6777 6821 7539 7781 9693 11129 12369 14307 15813 15903 20463 22617 23343 33383 33387 37107 42921 47439 47747 54467 61389 67851 70029 77903 90109 100149 100161 111321 128763 143241 147839 163401 184167 210087 211451 233709 270327 300447 300483 429723 443517 490203 630763 634353 701127 810981 901341 1034873 1289169 1330551 1470609 1480157 1712071 1892289 1903059 2103381 2432943 2793379 3104619 3991653 4440471 5136213 5676867 5709177 8380137 9313857 11984497 13321413 15408639 17030601 19553653 25140411 27941571 35953491 39964239 46225917 53074201 58660959 75421233 107860473 159222603 175982877 323581419 371519407 477667809 527948631 1114558221 1433003427 3343674663 10031023989