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211200012102100 = 22527404167746509
BaseRepresentation
bin110000000001010111010101…
…101100101010100111010100
31000200210112010222100021100011
4300001113111230222213110
5210140300111044231400
62025103540210330004
762325461120361220
oct6001272554524724
91020715128307304
10211200012102100
116132747094999a
121b82bb88889904
1390b00ca37b6b8
143a221c6b0b780
151963be4cad8ba
hexc015d5b2a9d4

211200012102100 has 72 divisors (see below), whose sum is σ = 523778027588480. Its totient is φ = 72411156558720.

The previous prime is 211200012102073. The next prime is 211200012102109. The reversal of 211200012102100 is 1201210002112.

It is a super-2 number, since 2×2112000121021002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200012102109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282543646 + ... + 283290154.

Almost surely, 2211200012102100 is an apocalyptic number.

211200012102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200012102100 is an abundant number, since it is smaller than the sum of its proper divisors (312578015486380).

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

211200012102100 is a wasteful number, since it uses less digits than its factorization.

211200012102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150697 (or 1150690 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211200012102100 its reverse (1201210002112), we get a palindrome (212401222104212).

The spelling of 211200012102100 in words is "two hundred eleven trillion, two hundred billion, twelve million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 404167 746509 808334 1493018 1616668 2020835 2829169 2986036 3732545 4041670 5225563 5658338 7465090 8083340 10104175 10451126 11316676 14145845 14930180 18662725 20208350 20902252 26127815 28291690 37325450 40416700 52255630 56583380 70729225 74650900 104511260 130639075 141458450 261278150 282916900 522556300 301714303003 603428606006 1206857212012 1508571515015 2112000121021 3017143030030 4224000242042 6034286060060 7542857575075 8448000484084 10560000605105 15085715150150 21120001210210 30171430300300 42240002420420 52800003025525 105600006051050 211200012102100