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202334042421 = 34737432111063
BaseRepresentation
bin1011110001110000001…
…1000111100100110101
3201100021000012022210000
42330130003013210311
511303340003324141
6232541224421513
720422011661260
oct2743403074465
9640230168700
10202334042421
117889a323885
1233269317899
1316106a53274
149b16091cd7
1553e331c5b6
hex2f1c0c7935

202334042421 has 160 divisors (see below), whose sum is σ = 365080905728. Its totient is φ = 109254821760.

The previous prime is 202334042377. The next prime is 202334042429. The reversal of 202334042421 is 124240433202.

202334042421 is a `hidden beast` number, since 2 + 0 + 233 + 4 + 0 + 4 + 2 + 421 = 666.

202334042421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202334042421 - 211 = 202334040373 is a prime.

It is a super-3 number, since 3×2023340424213 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202334042429) 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 159 ways as a sum of consecutive naturals, for example, 190341936 + ... + 190342998.

Almost surely, 2202334042421 is an apocalyptic number.

202334042421 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202334042421 is a deficient number, since it is larger than the sum of its proper divisors (162746863307).

202334042421 is a wasteful number, since it uses less digits than its factorization.

202334042421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 202334042421 its reverse (124240433202), we get a palindrome (326574475623).

The spelling of 202334042421 in words is "two hundred two billion, three hundred thirty-four million, forty-two thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 27 37 43 63 81 111 129 189 211 259 301 333 387 567 633 777 903 999 1063 1161 1477 1591 1899 2331 2709 2997 3189 3483 4431 4773 5697 6993 7441 7807 8127 9073 9567 11137 13293 14319 17091 20979 22323 23421 24381 27219 28701 33411 39331 39879 42957 45709 54649 63511 66969 70263 81657 86103 100233 117993 119637 128871 137127 163947 190533 200907 210789 224293 244971 275317 300699 319963 335701 353979 411381 491841 571599 602721 632367 672879 734913 825951 902097 959889 1007103 1061937 1234143 1475523 1570051 1691233 1714797 2018637 2349907 2477853 2879667 3021309 3185811 3702429 4426569 4710153 5073699 5144391 6055911 7049721 7433559 8298841 8639001 9063927 9644599 11838631 14130459 15221097 18167733 21149163 22300677 24896523 25917003 27191781 28933797 35515893 42391377 45663291 58091887 63447489 67512193 74689569 86801391 106547679 127174131 136989873 174275661 190342467 202536579 224068707 260404173 319643037 356850163 522826983 607609737 672206121 781212519 958929111 1070550489 1568480949 1822829211 2497951141 3211651467 4705442847 5468487633 7493853423 9634954401 22481560269 28904863203 67444680807 202334042421