Search a number
-
+
10371412700 = 225211173117891
BaseRepresentation
bin10011010100010111…
…10011001011011100
3222202210122100120022
421222023303023130
5132220040201300
64433051211312
7515004360545
oct115213631334
928683570508
1010371412700
114442434960
122015446b38
13c9392cabc
147056054cc
1540a7c6285
hex26a2f32dc

10371412700 has 144 divisors (see below), whose sum is σ = 26836282368. Its totient is φ = 3434880000.

The previous prime is 10371412693. The next prime is 10371412721. The reversal of 10371412700 is 721417301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10371412700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570755 + ... + 588645.

It is an arithmetic number, because the mean of its divisors is an integer number (186363072).

Almost surely, 210371412700 is an apocalyptic number.

10371412700 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 10371412700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13418141184).

10371412700 is an abundant number, since it is smaller than the sum of its proper divisors (16464869668).

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

10371412700 is a wasteful number, since it uses less digits than its factorization.

10371412700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17964 (or 17957 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The spelling of 10371412700 in words is "ten billion, three hundred seventy-one million, four hundred twelve thousand, seven hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 31 34 44 50 55 62 68 85 100 110 124 155 170 187 220 275 310 340 341 374 425 527 550 620 682 748 775 850 935 1054 1100 1364 1550 1700 1705 1870 2108 2635 3100 3410 3740 4675 5270 5797 6820 8525 9350 10540 11594 13175 17050 17891 18700 23188 26350 28985 34100 35782 52700 57970 71564 89455 115940 144925 178910 196801 289850 304147 357820 393602 447275 554621 579700 608294 787204 894550 984005 1109242 1216588 1520735 1789100 1968010 2218484 2773105 3041470 3345617 3936020 4920025 5546210 6082940 6100831 6691234 7603675 9428557 9840050 11092420 12201662 13382468 13865525 15207350 16728085 18857114 19680100 24403324 27731050 30414700 30504155 33456170 37714228 47142785 55462100 61008310 66912340 83640425 94285570 103714127 122016620 152520775 167280850 188571140 207428254 235713925 305041550 334561700 414856508 471427850 518570635 610083100 942855700 1037141270 2074282540 2592853175 5185706350 10371412700