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3123103120092 = 2232535935977279
BaseRepresentation
bin101101011100100111011…
…100111011101011011100
3102001120021102111201110100
4231130213130323223130
5402132103344320332
610350422254341100
7441431256340614
oct55344734735334
912046242451410
103123103120092
11aa455632395a
12425340aba790
131986798954b7
14ab232409a44
155638bd5c67c
hex2d72773badc

3123103120092 has 144 divisors (see below), whose sum is σ = 8202684672000. Its totient is φ = 1001270644608.

The previous prime is 3123103120091. The next prime is 3123103120157. The reversal of 3123103120092 is 2900213013213.

3123103120092 is a `hidden beast` number, since 31 + 2 + 310 + 31 + 200 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123103120091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40374709 + ... + 40451987.

It is an arithmetic number, because the mean of its divisors is an integer number (56963088000).

Almost surely, 23123103120092 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 3123103120092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101342336000).

3123103120092 is an abundant number, since it is smaller than the sum of its proper divisors (5079581551908).

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

3123103120092 is a wasteful number, since it uses less digits than its factorization.

3123103120092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77760 (or 77755 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 3123103120092 in words is "three trillion, one hundred twenty-three billion, one hundred three million, one hundred twenty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 59 106 118 159 177 212 236 318 354 359 477 531 636 708 718 954 1062 1077 1436 1908 2124 2154 3127 3231 4308 6254 6462 9381 12508 12924 18762 19027 21181 28143 37524 38054 42362 56286 57081 63543 76108 77279 84724 112572 114162 127086 154558 171243 190629 228324 231837 254172 309116 342486 381258 463674 684972 695511 762516 927348 1122593 1391022 2245186 2782044 3367779 4095787 4490372 4559461 6735558 8191574 9118922 10103337 12287361 13471116 13678383 16383148 18237844 20206674 24574722 27356766 27743161 36862083 40413348 41035149 49149444 54713532 55486322 73724166 82070298 83229483 110972644 147448332 164140596 166458966 241651433 249688449 332917932 483302866 499376898 724954299 966605732 998753796 1449908598 1470387533 1636846499 2174862897 2899817196 2940775066 3273692998 4349725794 4411162599 4910539497 5881550132 6547385996 8699451588 8822325198 9821078994 13233487797 14731618491 17644650396 19642157988 26466975594 29463236982 52933951188 58926473964 86752864447 173505728894 260258593341 347011457788 520517186682 780775780023 1041034373364 1561551560046 3123103120092