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103173119140 = 225721341197521
BaseRepresentation
bin110000000010110011…
…0001101110010100100
3100212022022102111101211
41200011212031302210
53142244304303030
6115221434001204
710311504020500
oct1400546156244
9325268374354
10103173119140
113a834599513
1217bb4576204
139963028c30
144dca64d300
152a3cac812a
hex180598dca4

103173119140 has 144 divisors (see below), whose sum is σ = 278046188784. Its totient is φ = 31856025600.

The previous prime is 103173119117. The next prime is 103173119183. The reversal of 103173119140 is 41911371301.

It can be written as a sum of positive squares in 8 ways, for example, as 49656774244 + 53516344896 = 222838^2 + 231336^2 .

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, 423580 + ... + 621100.

It is an arithmetic number, because the mean of its divisors is an integer number (1930876311).

Almost surely, 2103173119140 is an apocalyptic number.

103173119140 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 103173119140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139023094392).

103173119140 is an abundant number, since it is smaller than the sum of its proper divisors (174873069644).

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

103173119140 is a wasteful number, since it uses less digits than its factorization.

103173119140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197598 (or 197589 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 103173119140 in words is "one hundred three billion, one hundred seventy-three million, one hundred nineteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 41 49 52 65 70 82 91 98 130 140 164 182 196 205 245 260 287 364 410 455 490 533 574 637 820 910 980 1066 1148 1274 1435 1820 2009 2132 2548 2665 2870 3185 3731 4018 5330 5740 6370 7462 8036 10045 10660 12740 14924 18655 20090 26117 37310 40180 52234 74620 104468 130585 197521 261170 395042 522340 790084 987605 1382647 1975210 2567773 2765294 3950420 5135546 5530588 6913235 8098361 9678529 10271092 12838865 13826470 16196722 17974411 19357058 25677730 27652940 32393444 35948822 38714116 40491805 48392645 51355460 56688527 71897644 80983610 89872055 96785290 105278693 113377054 125820877 161967220 179744110 193570580 210557386 226754108 251641754 283442635 359488220 396819689 421114772 503283508 526393465 566885270 629104385 736950851 793639378 1052786930 1133770540 1258208770 1473901702 1587278756 1984098445 2105573860 2516417540 2947803404 3684754255 3968196890 5158655957 7369508510 7936393780 10317311914 14739017020 20634623828 25793279785 51586559570 103173119140