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2003200112100 = 2235211619951317
BaseRepresentation
bin11101001001101000000…
…001111111010111100100
321002111121110102101111110
4131021220001333113210
5230310023212041400
64132131334305020
7264504111002655
oct35115001772744
97074543371443
102003200112100
11702609270430
122842977b8170
13116b93541c25
146cd538a752c
1537193dede50
hex1d26807f5e4

2003200112100 has 144 divisors (see below), whose sum is σ = 6426481553856. Its totient is φ = 477663168000.

The previous prime is 2003200112099. The next prime is 2003200112119. The reversal of 2003200112100 is 12110023002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4774359 + ... + 5176958.

It is an arithmetic number, because the mean of its divisors is an integer number (44628344124).

Almost surely, 22003200112100 is an apocalyptic number.

2003200112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003200112100 is an abundant number, since it is smaller than the sum of its proper divisors (4423281441756).

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

2003200112100 is a wasteful number, since it uses less digits than its factorization.

2003200112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9951406 (or 9951399 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2003200112100 its reverse (12110023002), we get a palindrome (2015310135102).

The spelling of 2003200112100 in words is "two trillion, three billion, two hundred million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 61 66 75 100 110 122 132 150 165 183 220 244 275 300 305 330 366 550 610 660 671 732 825 915 1100 1220 1342 1525 1650 1830 2013 2684 3050 3300 3355 3660 4026 4575 6100 6710 8052 9150 10065 13420 16775 18300 20130 33550 40260 50325 67100 100650 201300 9951317 19902634 29853951 39805268 49756585 59707902 99513170 109464487 119415804 149269755 199026340 218928974 248782925 298539510 328393461 437857948 497565850 547322435 597079020 607030337 656786922 746348775 995131700 1094644870 1214060674 1313573844 1492697550 1641967305 1821091011 2189289740 2428121348 2736612175 2985395100 3035151685 3283934610 3642182022 5473224350 6070303370 6567869220 6677333707 7284364044 8209836525 9105455055 10946448700 12140606740 13354667414 15175758425 16419673050 18210910110 20032001121 26709334828 30351516850 32839346100 33386668535 36421820220 40064002242 45527275275 60703033700 66773337070 80128004484 91054550550 100160005605 133546674140 166933342675 182109101100 200320011210 333866685350 400640022420 500800028025 667733370700 1001600056050 2003200112100