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31132133003202 = 237111931114406739
BaseRepresentation
bin1110001010000100000111…
…01110101000111111000010
311002020012110212200012220120
413011002003232220333002
513040032102022100302
6150113523210321110
76362136164213640
oct705020356507702
9132205425605816
1031132133003202
119a13077515a40
1235a9748429196
13144a99448438a
14798b3629a190
1538ec417899bc
hex1c5083ba8fc2

31132133003202 has 128 divisors (see below), whose sum is σ = 84349801267200. Its totient is φ = 7413556622400.

The previous prime is 31132133003173. The next prime is 31132133003267. The reversal of 31132133003202 is 20230033123113.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56931252 + ... + 57475487.

It is an arithmetic number, because the mean of its divisors is an integer number (658982822400).

Almost surely, 231132133003202 is an apocalyptic number.

31132133003202 is an abundant number, since it is smaller than the sum of its proper divisors (53217668263998).

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

31132133003202 is a wasteful number, since it uses less digits than its factorization.

31132133003202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114406812.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 31132133003202 its reverse (20230033123113), we get a palindrome (51362166126315).

The spelling of 31132133003202 in words is "thirty-one trillion, one hundred thirty-two billion, one hundred thirty-three million, three thousand, two hundred two".

Divisors: 1 2 3 6 7 11 14 19 21 22 31 33 38 42 57 62 66 77 93 114 133 154 186 209 217 231 266 341 399 418 434 462 589 627 651 682 798 1023 1178 1254 1302 1463 1767 2046 2387 2926 3534 4123 4389 4774 6479 7161 8246 8778 12369 12958 14322 19437 24738 38874 45353 90706 136059 272118 114406739 228813478 343220217 686440434 800847173 1258474129 1601694346 2173728041 2402541519 2516948258 3546608909 3775422387 4347456082 4805083038 6521184123 7093217818 7550844774 8809318903 10639826727 13042368246 15216096287 17618637806 21279653454 23911008451 24826262363 26427956709 30432192574 39012697999 45648288861 47822016902 49652524726 52855913418 67385569271 71733025353 74478787089 78025395998 91296577722 117038093997 134771138542 143466050706 148957574178 167377059157 202156707813 234076187994 273088885993 334754118314 404313415626 471698984897 502131177471 546177771986 741241261981 819266657979 943397969794 1004262354942 1415096954691 1482482523962 1638533315958 2223723785943 2830193909382 4447447571886 5188688833867 10377377667734 15566066501601 31132133003202