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211231131030200 = 23527385316961179
BaseRepresentation
bin110000000001110100010100…
…100001111101001010111000
31000200220111110201002121111202
4300001310110201331022320
5210141302324020431300
62025130124133113332
762330642225036141
oct6001642441751270
91020814421077452
10211231131030200
116133968a756196
121b836012488848
1390b30194c0a18
143a238d99c0ac8
151964916c5bad5
hexc01d1487d2b8

211231131030200 has 96 divisors (see below), whose sum is σ = 498423610045200. Its totient is φ = 83237320258560.

The previous prime is 211231131030167. The next prime is 211231131030203. The reversal of 211231131030200 is 2030131132112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211231131030203) 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, 3973211 + ... + 20934389.

Almost surely, 2211231131030200 is an apocalyptic number.

211231131030200 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 211231131030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249211805022600).

211231131030200 is an abundant number, since it is smaller than the sum of its proper divisors (287192479015000).

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

211231131030200 is a wasteful number, since it uses less digits than its factorization.

211231131030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16962121 (or 16962112 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211231131030200 its reverse (2030131132112), we get a palindrome (213261262162312).

The spelling of 211231131030200 in words is "two hundred eleven trillion, two hundred thirty-one billion, one hundred thirty-one million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 853 1460 1706 1825 2920 3412 3650 4265 6824 7300 8530 14600 17060 21325 34120 42650 62269 85300 124538 170600 249076 311345 498152 622690 1245380 1556725 2490760 3113450 6226900 12453800 16961179 33922358 67844716 84805895 135689432 169611790 339223580 424029475 678447160 848058950 1238166067 1696117900 2476332134 3392235800 4952664268 6190830335 9905328536 12381660670 14467885687 24763321340 28935771374 30954151675 49526642680 57871542748 61908303350 72339428435 115743085496 123816606700 144678856870 247633213400 289357713740 361697142175 578715427480 723394284350 1056155655151 1446788568700 2112311310302 2893577137400 4224622620604 5280778275755 8449245241208 10561556551510 21123113103020 26403891378775 42246226206040 52807782757550 105615565515100 211231131030200