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10340515122 = 23719233831471
BaseRepresentation
bin10011010000101011…
…11011110100110010
3222200122111121001120
421220111323310302
5132134132440442
64430025043110
7514150633260
oct115025736462
928618447046
1010340515122
114426a51073
122007026496
13c8a402402
14701481430
15407c214ec
hex26857bd32

10340515122 has 128 divisors (see below), whose sum is σ = 26046627840. Its totient is φ = 2668438080.

The previous prime is 10340515057. The next prime is 10340515147. The reversal of 10340515122 is 22151504301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10340515092 and 10340515101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7028847 + ... + 7030317.

It is an arithmetic number, because the mean of its divisors is an integer number (203489280).

Almost surely, 210340515122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340515122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023313920).

10340515122 is an abundant number, since it is smaller than the sum of its proper divisors (15706112718).

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

10340515122 is a wasteful number, since it uses less digits than its factorization.

10340515122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908.

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 10340515122 in words is "ten billion, three hundred forty million, five hundred fifteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 383 399 437 483 766 798 874 966 1149 1311 1471 2298 2622 2681 2942 3059 4413 5362 6118 7277 8043 8809 8826 9177 10297 14554 16086 17618 18354 20594 21831 26427 27949 30891 33833 43662 50939 52854 55898 61663 61782 67666 83847 101499 101878 123326 152817 167371 167694 184989 195643 202998 236831 305634 334742 369978 391286 473662 502113 563393 586929 642827 710493 1004226 1126786 1171597 1173858 1285654 1420986 1690179 1928481 2343194 3380358 3514791 3856962 3943751 4499789 7029582 7887502 8999578 10704467 11831253 12958039 13499367 21408934 23662506 25916078 26998734 32113401 38874117 64226802 74931269 77748234 90706273 149862538 181412546 224793807 246202741 272118819 449587614 492405482 544237638 738608223 1477216446 1723419187 3446838374 5170257561 10340515122