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201202200112 = 241723313532939
BaseRepresentation
bin1011101101100010010…
…1011110111000110000
3201020100010102210000111
42323120211132320300
511244030230400422
6232233033231104
720351656324414
oct2733045367060
9636303383014
10201202200112
117836943aa11
1232bb2262494
1315c86403ba4
149a49a24d44
155378c96a77
hex2ed895ee30

201202200112 has 160 divisors (see below), whose sum is σ = 446011453440. Its totient is φ = 87367188480.

The previous prime is 201202200107. The next prime is 201202200193. The reversal of 201202200112 is 211002202102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201202200092 and 201202200101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68457939 + ... + 68460877.

It is an arithmetic number, because the mean of its divisors is an integer number (2787571584).

Almost surely, 2201202200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201202200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223005726720).

201202200112 is an abundant number, since it is smaller than the sum of its proper divisors (244809253328).

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

201202200112 is a wasteful number, since it uses less digits than its factorization.

201202200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201202200112 its reverse (211002202102), we get a palindrome (412204402214).

The spelling of 201202200112 in words is "two hundred one billion, two hundred two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 23 31 34 46 62 68 92 124 136 184 248 272 353 368 391 496 527 706 713 782 1054 1412 1426 1564 2108 2824 2852 2939 3128 4216 5648 5704 5878 6001 6256 8119 8432 10943 11408 11756 12002 12121 16238 21886 23512 24004 24242 32476 43772 47024 48008 48484 49963 64952 67597 87544 91109 96016 96968 99926 129904 135194 138023 175088 182218 186031 193936 199852 251689 270388 276046 364436 372062 399704 503378 540776 552092 728872 744124 799408 1006756 1037467 1081552 1104184 1149149 1457744 1488248 1548853 2013512 2074934 2095507 2208368 2298298 2976496 3097706 4027024 4149868 4191014 4278713 4596596 6195412 8299736 8382028 8557426 9193192 12390824 16599472 16764056 17114852 17636939 18386384 23861741 24781648 32161477 33528112 34229704 35273878 35623619 47723482 64322954 68459408 70547756 71247238 95446964 128645908 141095512 142494476 190893928 257291816 282191024 284988952 381787856 405649597 514583632 546745109 569977904 739713971 811299194 1093490218 1479427942 1622598388 2186980436 2958855884 3245196776 4373960872 5917711768 6490393552 8747921744 11835423536 12575137507 25150275014 50300550028 100601100056 201202200112