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121202402203113 = 3711131163123119961
BaseRepresentation
bin11011100011101110100010…
…001000010001010111101001
3120220010211120210122201002120
4123203232202020101113221
5111341240004430444423
61105435340453021453
734346404341240630
oct3343564210212751
9526124523581076
10121202402203113
1135689717338030
1211715a07324889
1352824505c202a
1421d032862c517
15e02b4519eee3
hex6e3ba22115e9

121202402203113 has 128 divisors (see below), whose sum is σ = 204439006937088. Its totient is φ = 62044781760000.

The previous prime is 121202402203079. The next prime is 121202402203123. The reversal of 121202402203113 is 311302204202121.

It is not a de Polignac number, because 121202402203113 - 28 = 121202402202857 is a prime.

It is a super-2 number, since 2×1212024022031132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121202402203123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6071950453 + ... + 6071970413.

It is an arithmetic number, because the mean of its divisors is an integer number (1597179741696).

Almost surely, 2121202402203113 is an apocalyptic number.

It is an amenable number.

121202402203113 is a deficient number, since it is larger than the sum of its proper divisors (83236604733975).

121202402203113 is a wasteful number, since it uses less digits than its factorization.

121202402203113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21507.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 121202402203113 its reverse (311302204202121), we get a palindrome (432504606405234).

The spelling of 121202402203113 in words is "one hundred twenty-one trillion, two hundred two billion, four hundred two million, two hundred three thousand, one hundred thirteen".

Divisors: 1 3 7 11 21 33 77 131 163 231 393 489 917 1141 1231 1441 1793 2751 3423 3693 4323 5379 8617 10087 12551 13541 19961 21353 25851 30261 37653 40623 59883 64059 94787 139727 149471 161261 200653 219571 234883 284361 419181 448413 483783 601959 658713 704649 1128827 1404571 1536997 1644181 1773871 2207183 2614891 3253643 3386481 4213713 4610991 4932543 5321613 6621549 7844673 9760929 12417097 15450281 18304237 22775501 24571991 26285543 28763801 35790073 37251291 46350843 54912711 68326503 73715973 78856629 86291403 107370219 172003937 183998801 201346607 250530511 270291901 289140973 426227233 516011811 551996403 604039821 751591533 810875703 867422919 1278681699 1892043307 2023986811 2983590631 3218930821 4005234533 4688499563 5676129921 6071960433 8950771893 9656792463 12015703599 14065498689 22532515747 28036641731 32819496941 35408239031 44057579863 67597547241 84109925193 98458490823 106224717093 132172739589 247857673217 308403059041 524685723823 743573019651 925209177123 1574057171469 3672800066761 5771542962053 11018400200283 17314628886159 40400800734371 121202402203113