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2100020022000 = 243253116667779
BaseRepresentation
bin11110100011110010111…
…100101000101011110000
321102202112000011102020100
4132203302330220223300
5233401320111201000
64244422541112400
7304502311443525
oct36436274505360
97382460142210
102100020022000
1173a68261179a
1229abb8558700
13123053264244
14738da44314c
153995dd6ea00
hex1e8f2f28af0

2100020022000 has 120 divisors (see below), whose sum is σ = 7334669993040. Its totient is φ = 560005334400.

The previous prime is 2100020021987. The next prime is 2100020022011. The reversal of 2100020022000 is 2200200012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58315890 + ... + 58351889.

It is an arithmetic number, because the mean of its divisors is an integer number (61122249942).

Almost surely, 22100020022000 is an apocalyptic number.

2100020022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100020022000 is an abundant number, since it is smaller than the sum of its proper divisors (5234649971040).

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

2100020022000 is a wasteful number, since it uses less digits than its factorization.

2100020022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116667808 (or 116667789 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2100020022000 its reverse (2200200012), we get a palindrome (2102220222012).

The spelling of 2100020022000 in words is "two trillion, one hundred billion, twenty million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 116667779 233335558 350003337 466671116 583338895 700006674 933342232 1050010011 1166677790 1400013348 1750016685 1866684464 2100020022 2333355580 2800026696 2916694475 3500033370 4200040044 4666711160 5250050055 5600053392 5833388950 7000066740 8400080088 8750083425 9333422320 10500100110 11666777900 14000133480 14583472375 16800160176 17500166850 21000200220 23333555800 26250250275 28000266960 29166944750 35000333700 42000400440 43750417125 46667111600 52500500550 58333889500 70000667400 84000800880 87500834250 105001001100 116667779000 131251251375 140001334800 175001668500 210002002200 233335558000 262502502750 350003337000 420004004400 525005005500 700006674000 1050010011000 2100020022000