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103541266020 = 223547275313337
BaseRepresentation
bin110000001101110001…
…0100101011001100100
3100220020222011021222110
41200123202211121210
53144023031003040
6115322144401020
710323564145143
oct1403342453144
9326228137873
10103541266020
113aa03388735
1218097916170
1399c1396c1a
1450234c175a
152a60098980
hex181b8a5664

103541266020 has 96 divisors (see below), whose sum is σ = 296213718528. Its totient is φ = 27011694592.

The previous prime is 103541265977. The next prime is 103541266063. The reversal of 103541266020 is 20662145301.

It is an interprime number because it is at equal distance from previous prime (103541265977) and next prime (103541266063).

It is a super-3 number, since 3×1035412660203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7756792 + ... + 7770128.

It is an arithmetic number, because the mean of its divisors is an integer number (3085559568).

Almost surely, 2103541266020 is an apocalyptic number.

103541266020 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 103541266020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148106859264).

103541266020 is an abundant number, since it is smaller than the sum of its proper divisors (192672452508).

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

103541266020 is a wasteful number, since it uses less digits than its factorization.

103541266020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16149 (or 16147 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 103541266020 in words is "one hundred three billion, five hundred forty-one million, two hundred sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2753 2820 5506 8259 11012 13337 13765 16518 26674 27530 33036 40011 41295 53348 55060 66685 80022 82590 129391 133370 160044 165180 200055 258782 266740 388173 400110 517564 626839 646955 776346 800220 1253678 1293910 1552692 1880517 1940865 2507356 2587820 3134195 3761034 3881730 6268390 7522068 7763460 9402585 12536780 18805170 36716761 37610340 73433522 110150283 146867044 183583805 220300566 367167610 440601132 550751415 734335220 1101502830 1725687767 2203005660 3451375534 5177063301 6902751068 8628438835 10354126602 17256877670 20708253204 25885316505 34513755340 51770633010 103541266020