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2111021001200 = 245276113735051
BaseRepresentation
bin11110101110000010101…
…010000010100111110000
321110210220200110001200102
4132232002222002213300
5234041332334014300
64253442322211532
7305342032305266
oct36560252024760
97423820401612
102111021001200
11744308359241
122a11687b3ba8
131240b74424a7
14742614ca436
1539da4a540d5
hex1eb82a829f0

2111021001200 has 120 divisors (see below), whose sum is σ = 5083097424336. Its totient is φ = 842517760000.

The previous prime is 2111021001191. The next prime is 2111021001203. The reversal of 2111021001200 is 21001201112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111021001203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417938675 + ... + 417943725.

Almost surely, 22111021001200 is an apocalyptic number.

2111021001200 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 2111021001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541548712168).

2111021001200 is an abundant number, since it is smaller than the sum of its proper divisors (2972076423136).

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

2111021001200 is a wasteful number, since it uses less digits than its factorization.

2111021001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203 (or 7192 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2111021001200 its reverse (21001201112), we get a palindrome (2132022202312).

The spelling of 2111021001200 in words is "two trillion, one hundred eleven billion, twenty-one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 761 1373 1522 2746 3044 3805 5051 5492 6088 6865 7610 10102 10984 12176 13730 15220 19025 20204 21968 25255 27460 30440 34325 38050 40408 50510 54920 60880 68650 76100 80816 101020 109840 126275 137300 152200 202040 252550 274600 304400 404080 505100 549200 1010200 1044853 2020400 2089706 3843811 4179412 5224265 6935023 7687622 8358824 10448530 13870046 15375244 16717648 19219055 20897060 26121325 27740092 30750488 34675115 38438110 41794120 52242650 55480184 61500976 69350230 76876220 83588240 96095275 104485300 110960368 138700460 153752440 173375575 192190550 208970600 277400920 307504880 346751150 384381100 417941200 554801840 693502300 768762200 1387004600 1537524400 2774009200 5277552503 10555105006 21110210012 26387762515 42220420024 52775525030 84440840048 105551050060 131938812575 211102100120 263877625150 422204200240 527755250300 1055510500600 2111021001200