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2100001233300 = 2235219391794057
BaseRepresentation
bin11110100011110001110…
…100111101100110010100
321102202110200210211222120
4132203301310331212110
5233401300303431200
64244421030255540
7304501662651135
oct36436164754624
97382420724876
102100001233300
1173a672a49543
1229abb21b75b0
1312304c3b6279
14738d7b51c8c
153995c3ac9a0
hex1e8f1d3d994

2100001233300 has 144 divisors (see below), whose sum is σ = 6397494075840. Its totient is φ = 530385546240.

The previous prime is 2100001233259. The next prime is 2100001233301. The reversal of 2100001233300 is 33321000012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2100001233300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100001233301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22279872 + ... + 22373928.

Almost surely, 22100001233300 is an apocalyptic number.

2100001233300 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 2100001233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198747037920).

2100001233300 is an abundant number, since it is smaller than the sum of its proper divisors (4297492842540).

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

2100001233300 is a wasteful number, since it uses less digits than its factorization.

2100001233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98010 (or 98003 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2100001233300 its reverse (33321000012), we get a palindrome (2133322233312).

The spelling of 2100001233300 in words is "two trillion, one hundred billion, one million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 3917 5700 7834 11751 15668 19585 23502 39170 47004 58755 74423 78340 94057 97925 117510 148846 188114 195850 223269 235020 282171 293775 297692 372115 376228 391700 446538 470285 564342 587550 744230 893076 940570 1116345 1128684 1175100 1410855 1488460 1787083 1860575 1881140 2232690 2351425 2821710 3574166 3721150 4465380 4702850 5361249 5581725 5643420 7054275 7148332 7442300 8935415 9405700 10722498 11163450 14108550 17870830 21444996 22326900 26806245 28217100 35741660 44677075 53612490 89354150 107224980 134031225 178708300 268062450 368421269 536124900 736842538 1105263807 1473685076 1842106345 2210527614 3684212690 4421055228 5526319035 7000004111 7368425380 9210531725 11052638070 14000008222 18421063450 21000012333 22105276140 27631595175 28000016444 35000020555 36842126900 42000024666 55263190350 70000041110 84000049332 105000061665 110526380700 140000082220 175000102775 210000123330 350000205550 420000246660 525000308325 700000411100 1050000616650 2100001233300