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10130574734124 = 22313267257290107
BaseRepresentation
bin1001001101101011010101…
…0011101111001100101100
31022212110210011122000110020
42103122311103233030230
52311434404112442444
633313531034442140
72063624041310325
oct223326523571454
938773704560406
1010130574734124
113256397374429
121177458b93350
13586403120700
14270472a8544c
151287bd483119
hex936b54ef32c

10130574734124 has 144 divisors (see below), whose sum is σ = 26079390949248. Its totient is φ = 3058617729024.

The previous prime is 10130574734053. The next prime is 10130574734141. The reversal of 10130574734124 is 42143747503101.

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, 34775079 + ... + 35065185.

It is an arithmetic number, because the mean of its divisors is an integer number (181106881592).

Almost surely, 210130574734124 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 10130574734124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13039695474624).

10130574734124 is an abundant number, since it is smaller than the sum of its proper divisors (15948816215124).

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

10130574734124 is a wasteful number, since it uses less digits than its factorization.

10130574734124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290464 (or 290449 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 10130574734124 in words is "ten trillion, one hundred thirty billion, five hundred seventy-four million, seven hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 169 201 257 268 338 402 507 514 676 771 804 871 1014 1028 1542 1742 2028 2613 3084 3341 3484 5226 6682 10023 10452 11323 13364 17219 20046 22646 33969 34438 40092 43433 45292 51657 67938 68876 86866 103314 130299 135876 173732 206628 223847 260598 290107 447694 521196 580214 671541 870321 895388 1160428 1343082 1740642 2686164 2910011 3481284 3771391 5820022 7542782 8730033 11314173 11640044 15085564 17460066 19437169 22628346 34920132 38874338 45256692 49028083 58311507 74557499 77748676 98056166 116623014 147084249 149114998 196112332 223672497 233246028 252683197 294168498 298229996 447344994 505366394 588336996 758049591 894689988 969247487 1010732788 1516099182 1938494974 2907742461 3032198364 3284881561 3876989948 4995352433 5815484922 6569763122 9854644683 9990704866 11630969844 12600217331 13139526244 14986057299 19709289366 19981409732 25200434662 29972114598 37800651993 39418578732 50400869324 59944229196 64939581629 75601303986 129879163258 151202607972 194818744887 259758326516 389637489774 779274979548 844214561177 1688429122354 2532643683531 3376858244708 5065287367062 10130574734124