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13143157103124 = 223547733941057
BaseRepresentation
bin1011111101000010000100…
…1101011101101000010100
31201112110210012211212100000
42333100201031131220110
53210314141204244444
643541514422051300
72524363454036106
oct277204115355024
951473705755300
1013143157103124
114207a885a8174
121583294879b30
13744518649969
143361bca73576
1517bd3c631469
hexbf42135da14

13143157103124 has 144 divisors (see below), whose sum is σ = 35668529664768. Its totient is φ = 4229099900928.

The previous prime is 13143157103039. The next prime is 13143157103137. The reversal of 13143157103124 is 42130175134131.

13143157103124 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 31 + 571 + 0 + 31 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1364404 + ... + 5305460.

It is an arithmetic number, because the mean of its divisors is an integer number (247698122672).

Almost surely, 213143157103124 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 13143157103124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17834264832384).

13143157103124 is an abundant number, since it is smaller than the sum of its proper divisors (22525372561644).

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

13143157103124 is a wasteful number, since it uses less digits than its factorization.

13143157103124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941196 (or 3941182 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13143157103124 in words is "thirteen trillion, one hundred forty-three billion, one hundred fifty-seven million, one hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 73 81 94 108 141 146 162 188 219 243 282 292 324 423 438 486 564 657 846 876 972 1269 1314 1692 1971 2538 2628 3431 3807 3942 5076 5913 6862 7614 7884 10293 11421 11826 13724 15228 17739 20586 22842 23652 30879 35478 41172 45684 61758 70956 92637 123516 185274 277911 370548 555822 833733 1111644 1667466 3334932 3941057 7882114 11823171 15764228 23646342 35469513 47292684 70939026 106408539 141878052 185229679 212817078 287697161 319225617 370459358 425634156 555689037 575394322 638451234 740918716 863091483 957676851 1111378074 1150788644 1276902468 1667067111 1726182966 1915353702 2222756148 2589274449 3334134222 3452365932 3830707404 5001201333 5178548898 6668268444 7767823347 10002402666 10357097796 13521766567 15003603999 15535646694 20004805332 23303470041 27043533134 30007207998 31071293388 40565299701 45010811997 46606940082 54087066268 60014415996 69910410123 81130599402 90021623994 93213880164 121695899103 139820820246 162261198804 180043247988 243391798206 279641640492 365087697309 486783596412 730175394618 1095263091927 1460350789236 2190526183854 3285789275781 4381052367708 6571578551562 13143157103124