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211120202000 = 2453107986543
BaseRepresentation
bin1100010010011110111…
…1101010000100010000
3202011221022220110212202
43010213233222010100
511424333232431000
6240553130342332
721152520052001
oct3044757520420
9664838813782
10211120202000
1181598939594
1234abb88a9a8
1316ba7111666
14a30ad211a8
155759858dd5
hex3127bea110

211120202000 has 80 divisors (see below), whose sum is σ = 515260092672. Its totient is φ = 83658761600.

The previous prime is 211120201993. The next prime is 211120202009. The reversal of 211120202000 is 202021112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (211120202009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279272 + ... + 707271.

Almost surely, 2211120202000 is an apocalyptic number.

211120202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120202000 is an abundant number, since it is smaller than the sum of its proper divisors (304139890672).

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

211120202000 is a wasteful number, since it uses less digits than its factorization.

211120202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986673 (or 986657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211120202000 its reverse (202021112), we get a palindrome (211322223112).

The spelling of 211120202000 in words is "two hundred eleven billion, one hundred twenty million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 856 1000 1070 1712 2000 2140 2675 4280 5350 8560 10700 13375 21400 26750 42800 53500 107000 214000 986543 1973086 3946172 4932715 7892344 9865430 15784688 19730860 24663575 39461720 49327150 78923440 98654300 105560101 123317875 197308600 211120202 246635750 394617200 422240404 493271500 527800505 844480808 986543000 1055601010 1688961616 1973086000 2111202020 2639002525 4222404040 5278005050 8444808080 10556010100 13195012625 21112020200 26390025250 42224040400 52780050500 105560101000 211120202000