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103442502120 = 233513741915017
BaseRepresentation
bin110000001010110100…
…1110101000111101000
3100220000002022120101020
41200111221311013220
53143322240031440
6115304255452440
710321254521556
oct1402551650750
9326002276336
10103442502120
113a962660981
121806a827120
1399a6a96c49
145014332bd6
152a5658a3d0
hex1815a751e8

103442502120 has 128 divisors (see below), whose sum is σ = 313359580800. Its totient is φ = 27316146176.

The previous prime is 103442502083. The next prime is 103442502143. The reversal of 103442502120 is 21205244301.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6880852 + ... + 6895868.

It is an arithmetic number, because the mean of its divisors is an integer number (2448121725).

Almost surely, 2103442502120 is an apocalyptic number.

103442502120 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 103442502120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156679790400).

103442502120 is an abundant number, since it is smaller than the sum of its proper divisors (209917078680).

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

103442502120 is a wasteful number, since it uses less digits than its factorization.

103442502120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15587 (or 15583 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 103442502120 its reverse (21205244301), we get a palindrome (124647746421).

The spelling of 103442502120 in words is "one hundred three billion, four hundred forty-two million, five hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 419 548 685 822 838 1096 1257 1370 1644 1676 2055 2095 2514 2740 3288 3352 4110 4190 5028 5480 6285 8220 8380 10056 12570 15017 16440 16760 25140 30034 45051 50280 57403 60068 75085 90102 114806 120136 150170 172209 180204 225255 229612 287015 300340 344418 360408 450510 459224 574030 600680 688836 861045 901020 1148060 1377672 1722090 1802040 2057329 2296120 3444180 4114658 6171987 6292123 6888360 8229316 10286645 12343974 12584246 16458632 18876369 20573290 24687948 25168492 30859935 31460615 37752738 41146580 49375896 50336984 61719870 62921230 75505476 82293160 94381845 123439740 125842460 151010952 188763690 246879480 251684920 377527380 755054760 862020851 1724041702 2586062553 3448083404 4310104255 5172125106 6896166808 8620208510 10344250212 12930312765 17240417020 20688500424 25860625530 34480834040 51721251060 103442502120