Search a number
-
+
103310003313120 = 2535892418305321
BaseRepresentation
bin10111011111010110111100…
…000011001001100111100000
3111112210100011202111210100110
4113133112330003021213200
5102020112341322004440
61003415543233051320
730521621122113132
oct2737267403114740
9445710152453313
10103310003313120
112aa1058764737a
12b7062070b6b40
134585126081c26
141b723335d3052
15be24e49d7080
hex5df5bc0c99e0

103310003313120 has 96 divisors (see below), whose sum is σ = 329082988217760. Its totient is φ = 27239791124480.

The previous prime is 103310003313091. The next prime is 103310003313197. The reversal of 103310003313120 is 21313300013301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209109941 + ... + 1209195380.

It is an arithmetic number, because the mean of its divisors is an integer number (3427947793935).

Almost surely, 2103310003313120 is an apocalyptic number.

103310003313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103310003313120 is an abundant number, since it is smaller than the sum of its proper divisors (225772984904640).

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

103310003313120 is a wasteful number, since it uses less digits than its factorization.

103310003313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418305428 (or 2418305420 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103310003313120 its reverse (21313300013301), we get a palindrome (124623303326421).

The spelling of 103310003313120 in words is "one hundred three trillion, three hundred ten billion, three million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1780 2136 2670 2848 3560 4272 5340 7120 8544 10680 14240 21360 42720 2418305321 4836610642 7254915963 9673221284 12091526605 14509831926 19346442568 24183053210 29019663852 36274579815 38692885136 48366106420 58039327704 72549159630 77385770272 96732212840 116078655408 145098319260 193464425680 215229173569 232157310816 290196638520 386928851360 430458347138 580393277040 645687520707 860916694276 1076145867845 1160786554080 1291375041414 1721833388552 2152291735690 2582750082828 3228437603535 3443666777104 4304583471380 5165500165656 6456875207070 6887333554208 8609166942760 10331000331312 12913750414140 17218333885520 20662000662624 25827500828280 34436667771040 51655001656560 103310003313120