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2103002004240 = 243354391221729
BaseRepresentation
bin11110100110100100101…
…011111111101100010000
321110001012211021210212000
4132212210223333230100
5233423422003113430
64250034503234000
7304636231044354
oct36464453775420
97401184253760
102103002004240
11740972896125
1229b6ab148900
13123409caa687
1473b004b9464
1539a85a54e60
hex1e9a4affb10

2103002004240 has 160 divisors (see below), whose sum is σ = 7245355910400. Its totient is φ = 560670289920.

The previous prime is 2103002004163. The next prime is 2103002004263. The reversal of 2103002004240 is 424002003012.

2103002004240 is a `hidden beast` number, since 2 + 10 + 30 + 0 + 200 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9373696 + ... + 9595424.

It is an arithmetic number, because the mean of its divisors is an integer number (45283474440).

Almost surely, 22103002004240 is an apocalyptic number.

2103002004240 is a gapful number since it is divisible by the number (20) 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 2103002004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622677955200).

2103002004240 is an abundant number, since it is smaller than the sum of its proper divisors (5142353906160).

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

2103002004240 is a wasteful number, since it uses less digits than its factorization.

2103002004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226142 (or 226130 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2103002004240 its reverse (424002003012), we get a palindrome (2527004007252).

The spelling of 2103002004240 in words is "two trillion, one hundred three billion, two million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4391 8782 13173 17564 21955 26346 35128 39519 43910 52692 65865 70256 79038 87820 105384 118557 131730 158076 175640 197595 210768 221729 237114 263460 316152 351280 395190 443458 474228 526920 592785 632304 665187 790380 886916 948456 1053840 1108645 1185570 1330374 1580760 1773832 1896912 1995561 2217290 2371140 2660748 3161520 3325935 3547664 3991122 4434580 4742280 5321496 5986683 6651870 7982244 8869160 9484560 9977805 10642992 11973366 13303740 15964488 17738320 19955610 23946732 26607480 29933415 31928976 39911220 47893464 53214960 59866830 79822440 95786928 119733660 159644880 239467320 478934640 973612039 1947224078 2920836117 3894448156 4868060195 5841672234 7788896312 8762508351 9736120390 11683344468 14604180585 15577792624 17525016702 19472240780 23366688936 26287525053 29208361170 35050033404 38944481560 43812541755 46733377872 52575050106 58416722340 70100066808 77888963120 87625083510 105150100212 116833444680 131437625265 140200133616 175250167020 210300200424 233666889360 262875250530 350500334040 420600400848 525750501060 701000668080 1051501002120 2103002004240