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2003310002100 = 22352114314117759
BaseRepresentation
bin11101001001101110100…
…101001011111110110100
321002111220010012101020110
4131021232211023332310
5230310234330031400
64132150301503020
7264506614025661
oct35115645137664
97074803171213
102003310002100
117026652a7410
12284308571a70
13116bb02391b4
146cd64310a68
153719d8a8e50
hex1d26e94bfb4

2003310002100 has 144 divisors (see below), whose sum is σ = 6470225879040. Its totient is φ = 474356668800.

The previous prime is 2003310002081. The next prime is 2003310002117. The reversal of 2003310002100 is 12000133002.

It is a happy number.

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

It is a congruent number.

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, 6916980 + ... + 7200779.

It is an arithmetic number, because the mean of its divisors is an integer number (44932124160).

Almost surely, 22003310002100 is an apocalyptic number.

2003310002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003310002100 is an abundant number, since it is smaller than the sum of its proper divisors (4466915876940).

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

2003310002100 is a wasteful number, since it uses less digits than its factorization.

2003310002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14117830 (or 14117823 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2003310002100 its reverse (12000133002), we get a palindrome (2015310135102).

The spelling of 2003310002100 in words is "two trillion, three billion, three hundred ten million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 43 44 50 55 60 66 75 86 100 110 129 132 150 165 172 215 220 258 275 300 330 430 473 516 550 645 660 825 860 946 1075 1100 1290 1419 1650 1892 2150 2365 2580 2838 3225 3300 4300 4730 5676 6450 7095 9460 11825 12900 14190 23650 28380 35475 47300 70950 141900 14117759 28235518 42353277 56471036 70588795 84706554 141177590 155295349 169413108 211766385 282355180 310590698 352943975 423532770 465886047 607063637 621181396 705887950 776476745 847065540 931772094 1058831925 1214127274 1411775900 1552953490 1821190911 1863544188 2117663850 2329430235 2428254548 3035318185 3105906980 3642381822 3882383725 4235327700 4658860470 6070636370 6677700007 7284763644 7764767450 9105954555 9317720940 11647151175 12141272740 13355400014 15176590925 15529534900 18211909110 20033100021 23294302350 26710800028 30353181850 33388500035 36423818220 40066200042 45529772775 46588604700 60706363700 66777000070 80132400084 91059545550 100165500105 133554000140 166942500175 182119091100 200331000210 333885000350 400662000420 500827500525 667770000700 1001655001050 2003310002100