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201002031204 = 223132371211113
BaseRepresentation
bin1011101100110010100…
…1111001100001100100
3201012211011210010220020
42323030221321201210
511243123004444304
6232201123035140
720344006034532
oct2731451714144
9635734703806
10201002031204
1178276452067
1232b5720bab0
1315c53abaa50
149a2b1db152
1553664075d9
hex2ecca79864

201002031204 has 144 divisors (see below), whose sum is σ = 534617897856. Its totient is φ = 58319331840.

The previous prime is 201002031203. The next prime is 201002031253. The reversal of 201002031204 is 402130200102.

201002031204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201002031203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18081552 + ... + 18092664.

Almost surely, 2201002031204 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 201002031204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267308948928).

201002031204 is an abundant number, since it is smaller than the sum of its proper divisors (333615866652).

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

201002031204 is a wasteful number, since it uses less digits than its factorization.

201002031204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201002031204 its reverse (402130200102), we get a palindrome (603132231306).

The spelling of 201002031204 in words is "two hundred one billion, two million, thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 71 78 92 138 142 156 213 276 284 299 426 598 852 897 923 1196 1633 1794 1846 2769 3266 3588 3692 4899 5041 5538 6532 9798 10082 11076 11113 15123 19596 20164 21229 22226 30246 33339 42458 44452 60492 63687 65533 66678 84916 115943 127374 131066 133356 144469 196599 231886 254748 255599 262132 288938 347829 393198 433407 463772 511198 577876 695658 766797 786396 789023 866814 1022396 1391316 1507259 1533594 1578046 1733628 2367069 3014518 3067188 3156092 3322787 4521777 4734138 6029036 6645574 9043554 9468276 9968361 10257299 13291148 18087108 18147529 19936722 20514598 30771897 36295058 39873444 41029196 54442587 56020633 61543794 72590116 108885174 112041266 123087588 168061899 217770348 224082532 235917877 336123798 471835754 672247596 707753631 728268229 943671508 1288474559 1415507262 1456536458 2184804687 2576949118 2831014524 2913072916 3865423677 4369609374 5153898236 7730847354 8739218748 15461694708 16750169267 33500338534 50250507801 67000677068 100501015602 201002031204