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103166225736 = 23374373319483
BaseRepresentation
bin110000000010100101…
…1111010110101001000
3100212021211110021102120
41200011023322311020
53142241023210421
6115221030131240
710311361310220
oct1400513726510
9325254407376
10103166225736
113a830710392
1217bb21b0b20
1399617843b2
144dc9777080
152a3c1b58c6
hex18052fad48

103166225736 has 128 divisors (see below), whose sum is σ = 302042526720. Its totient is φ = 28749821184.

The previous prime is 103166225699. The next prime is 103166225753. The reversal of 103166225736 is 637522661301.

It is a super-2 number, since 2×1031662257362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5285451 + ... + 5304933.

It is an arithmetic number, because the mean of its divisors is an integer number (2359707240).

Almost surely, 2103166225736 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 103166225736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151021263360).

103166225736 is an abundant number, since it is smaller than the sum of its proper divisors (198876300984).

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

103166225736 is a wasteful number, since it uses less digits than its factorization.

103166225736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20275 (or 20271 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 103166225736 in words is "one hundred three billion, one hundred sixty-six million, two hundred twenty-five thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 733 903 1032 1204 1466 1806 2199 2408 2932 3612 4398 5131 5864 7224 8796 10262 15393 17592 19483 20524 30786 31519 38966 41048 58449 61572 63038 77932 94557 116898 123144 126076 136381 155864 189114 220633 233796 252152 272762 378228 409143 441266 467592 545524 661899 756456 818286 837769 882532 1091048 1323798 1636572 1675538 1765064 2513307 2647596 3273144 3351076 5026614 5295192 5864383 6702152 10053228 11728766 14281039 17593149 20106456 23457532 28562078 35186298 42843117 46915064 57124156 70372596 85686234 99967273 114248312 140745192 171372468 199934546 299901819 342744936 399869092 599803638 614084677 799738184 1199607276 1228169354 1842254031 2399214552 2456338708 3684508062 4298592739 4912677416 7369016124 8597185478 12895778217 14738032248 17194370956 25791556434 34388741912 51583112868 103166225736