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103317020160 = 293591114767
BaseRepresentation
bin110000000111000101…
…1001001111000000000
3100212200100012102111020
41200032023021320000
53143043124121120
6115244014145440
710315202116134
oct1401613117000
9325610172436
10103317020160
113a8a8845482
12180347b2280
139986aa0a73
1450017cb3c4
152a4a550640
hex180e2c9e00

103317020160 has 160 divisors (see below), whose sum is σ = 330676549632. Its totient is φ = 27519098880.

The previous prime is 103317020123. The next prime is 103317020171. The reversal of 103317020160 is 61020713301.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103317020160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6989097 + ... + 7003863.

Almost surely, 2103317020160 is an apocalyptic number.

103317020160 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 103317020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165338274816).

103317020160 is an abundant number, since it is smaller than the sum of its proper divisors (227359529472).

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

103317020160 is an equidigital number, since it uses as much as digits as its factorization.

103317020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15704 (or 15688 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

Adding to 103317020160 its reverse (61020713301), we get a palindrome (164337733461).

The spelling of 103317020160 in words is "one hundred three billion, three hundred seventeen million, twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 911 960 1280 1536 1822 1920 2560 2733 3644 3840 4555 5466 7288 7680 9110 10932 13665 14576 14767 18220 21864 27330 29152 29534 36440 43728 44301 54660 58304 59068 72880 73835 87456 88602 109320 116608 118136 145760 147670 174912 177204 218640 221505 233216 236272 291520 295340 349824 354408 437280 443010 466432 472544 583040 590680 699648 708816 874560 886020 945088 1166080 1181360 1399296 1417632 1749120 1772040 1890176 2332160 2362720 2835264 3498240 3544080 3780352 4725440 5670528 6996480 7088160 7560704 9450880 11341056 13452737 14176320 18901760 22682112 26905474 28352640 37803520 40358211 53810948 56705280 67263685 80716422 107621896 113410560 134527370 161432844 201791055 215243792 269054740 322865688 403582110 430487584 538109480 645731376 807164220 860975168 1076218960 1291462752 1614328440 1721950336 2152437920 2582925504 3228656880 3443900672 4304875840 5165851008 6457313760 6887801344 8609751680 10331702016 12914627520 17219503360 20663404032 25829255040 34439006720 51658510080 103317020160