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312021130220200 = 235217663713827169
BaseRepresentation
bin100011011110010000001010…
…0101000010001001010101000
31111220202221002001021002112201
41012330200110220101022220
5311344123233314021300
63023340310044145544
7122502532323426112
oct10674402450211250
91456687061232481
10312021130220200
11904684666a9525
122abb39512382b4
131051460a6a127b
145709c908643b2
1526115bb85066a
hex11bc814a112a8

312021130220200 has 96 divisors (see below), whose sum is σ = 768238394830200. Its totient is φ = 117449071165440.

The previous prime is 312021130220117. The next prime is 312021130220287. The reversal of 312021130220200 is 2022031120213.

It can be written as a sum of positive squares in 12 ways, for example, as 24891697548964 + 287129432671236 = 4989158^2 + 16944894^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15652216 + ... + 29479384.

Almost surely, 2312021130220200 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 312021130220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384119197415100).

312021130220200 is an abundant number, since it is smaller than the sum of its proper divisors (456217264610000).

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

312021130220200 is a wasteful number, since it uses less digits than its factorization.

312021130220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13833839 (or 13833830 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 312021130220200 its reverse (2022031120213), we get a palindrome (314043161340413).

The spelling of 312021130220200 in words is "three hundred twelve trillion, twenty-one billion, one hundred thirty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 6637 13274 26548 33185 53096 66370 112829 132740 165925 225658 265480 331850 451316 564145 663700 902632 1128290 1327400 2256580 2820725 4513160 5641450 11282900 13827169 22565800 27654338 55308676 69135845 110617352 138271690 235061873 276543380 345679225 470123746 553086760 691358450 940247492 1175309365 1382716900 1880494984 2350618730 2765433800 4701237460 5876546825 9402474920 11753093650 23506187300 47012374600 91770920653 183541841306 367083682612 458854603265 734167365224 917709206530 1560105651101 1835418413060 2294273016325 3120211302202 3670836826120 4588546032650 6240422604404 7800528255505 9177092065300 12480845208808 15601056511010 18354184130600 31202113022020 39002641277525 62404226044040 78005282555050 156010565110100 312021130220200