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10134310430010 = 23513594391003259
BaseRepresentation
bin1001001101111001001111…
…1110010010010100111010
31022212211102112000000211010
42103132103332102110322
52312020031432230020
633315345443414350
72064115442225064
oct223362376222472
938784375000733
1010134310430010
113257a34044aa8
1211781200843b6
1358687a061a50
14270708c78734
1512893b3eade0
hex93793f9253a

10134310430010 has 128 divisors (see below), whose sum is σ = 26697952512000. Its totient is φ = 2446729558272.

The previous prime is 10134310429939. The next prime is 10134310430017. The reversal of 10134310430010 is 1003401343101.

It is a super-2 number, since 2×101343104300102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10134310430017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9599761 + ... + 10603019.

It is an arithmetic number, because the mean of its divisors is an integer number (208577754000).

Almost surely, 210134310430010 is an apocalyptic number.

10134310430010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10134310430010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348976256000).

10134310430010 is an abundant number, since it is smaller than the sum of its proper divisors (16563642081990).

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

10134310430010 is a wasteful number, since it uses less digits than its factorization.

10134310430010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003780.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10134310430010 its reverse (1003401343101), we get a palindrome (11137711773111).

The spelling of 10134310430010 in words is "ten trillion, one hundred thirty-four billion, three hundred ten million, four hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 59 65 78 118 130 177 195 295 354 390 439 590 767 878 885 1317 1534 1770 2195 2301 2634 3835 4390 4602 5707 6585 7670 11414 11505 13170 17121 23010 25901 28535 34242 51802 57070 77703 85605 129505 155406 171210 259010 336713 388515 673426 777030 1003259 1010139 1683565 2006518 2020278 3009777 3367130 5016295 5050695 6019554 10032590 10101390 13042367 15048885 26084734 30097770 39127101 59192281 65211835 78254202 118384562 130423670 177576843 195635505 295961405 355153686 391271010 440430701 591922810 769499653 880861402 887884215 1321292103 1538999306 1775768430 2202153505 2308498959 2642584206 3847498265 4404307010 4616997918 5725599113 6606460515 7694996530 11451198226 11542494795 13212921030 17176797339 23084989590 25985411359 28627995565 34353594678 51970822718 57255991130 77956234077 85883986695 129927056795 155912468154 171767973390 259854113590 337810347667 389781170385 675620695334 779562340770 1013431043001 1689051738335 2026862086002 3378103476670 5067155215005 10134310430010