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201012200012099 = 719292711270315139
BaseRepresentation
bin101101101101000111001100…
…110001101111100101000011
3222100201120121211112022102102
4231231013030301233211003
5202321340441200341344
61551303421352341015
760224436463415120
oct5555071461574503
9870646554468372
10201012200012099
1159059882590973
121a6656170a476b
1388214a4c7bb98
14378d084471747
151838bc68d3e4e
hexb6d1ccc6f943

201012200012099 has 64 divisors (see below), whose sum is σ = 251117223936000. Its totient is φ = 156995122596480.

The previous prime is 201012200012069. The next prime is 201012200012119. The reversal of 201012200012099 is 990210002210102.

It is not a de Polignac number, because 201012200012099 - 240 = 199912688384323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201012200012069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13277765072 + ... + 13277780210.

It is an arithmetic number, because the mean of its divisors is an integer number (3923706624000).

Almost surely, 2201012200012099 is an apocalyptic number.

201012200012099 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

201012200012099 is a deficient number, since it is larger than the sum of its proper divisors (50105023923901).

201012200012099 is a wasteful number, since it uses less digits than its factorization.

201012200012099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28168.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 201012200012099 in words is "two hundred one trillion, twelve billion, two hundred million, twelve thousand, ninety-nine".

Divisors: 1 7 19 29 133 203 271 551 1897 3857 5149 7859 12703 15139 36043 55013 88921 105973 149321 241357 287641 368387 439031 1045247 1689499 2013487 2578709 3073217 3442513 4102669 6999353 8341589 24097591 28718683 48995471 58391123 65407747 77950711 99832877 118977401 192310717 457854229 545654977 698830139 832841807 1346175019 1896824663 2260570619 3653903623 5577010793 13277772641 15823994333 25577325361 39039075551 52116204307 105963205067 364813430149 741742435469 990207881833 1511369924903 6931455172831 10579589474321 28716028573157 201012200012099