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132031132020333 = 33713892081290141
BaseRepresentation
bin11110000001010011100100…
…101110010010111001101101
3122022111001102121020122002000
4132001103210232102321231
5114301144224244122313
61144450133102122513
736544635351053310
oct3601234456227155
9568431377218060
10132031132020333
11390840a7a87737
1212984626b80439
135889636893a60
1424864ab56c977
15103e67575d673
hex7814e4b92e6d

132031132020333 has 128 divisors (see below), whose sum is σ = 243563299660800. Its totient is φ = 68826964377600.

The previous prime is 132031132020311. The next prime is 132031132020353. The reversal of 132031132020333 is 333020231130231.

132031132020333 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 3 + 1 + 1 + 320 + 2 + 0 + 333 = 666.

It is not a de Polignac number, because 132031132020333 - 210 = 132031132019309 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132031132020297 and 132031132020306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132031132020353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 454913443 + ... + 455203583.

It is an arithmetic number, because the mean of its divisors is an integer number (1902838278600).

Almost surely, 2132031132020333 is an apocalyptic number.

132031132020333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132031132020333 is a deficient number, since it is larger than the sum of its proper divisors (111532167640467).

132031132020333 is a wasteful number, since it uses less digits than its factorization.

132031132020333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292340 (or 292334 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 132031132020333 its reverse (333020231130231), we get a palindrome (465051363150564).

The spelling of 132031132020333 in words is "one hundred thirty-two trillion, thirty-one billion, one hundred thirty-two million, twenty thousand, three hundred thirty-three".

Divisors: 1 3 7 9 13 21 27 39 63 89 91 117 189 267 273 351 623 801 819 1157 1869 2081 2403 2457 3471 5607 6243 8099 10413 14567 16821 18729 24297 27053 31239 43701 56187 72891 81159 131103 185209 189371 218673 243477 290141 393309 555627 568113 730431 870423 1296463 1666881 1704339 2030987 2407717 2611269 3771833 3889389 5000643 5113017 6092961 7223151 7833807 11315499 11668167 16854019 18278883 21669453 25822549 26402831 33946497 35004501 50562057 54836649 65008359 77467647 79208493 101839491 151686171 180757843 232402941 237625479 335693137 455058513 542273529 603783421 697208823 712876437 1007079411 1626820587 1811350263 2349851959 3021238233 4226483947 4880461761 5434050789 7049555877 7849184473 9063714699 12679451841 16302152367 21148667631 23547553419 38038355523 53736724469 54944291311 63446002893 70642660257 114115066569 161210173407 164832873933 211927980771 376157071283 483630520221 494498621799 698577418097 1128471213849 1450891560663 1483495865397 2095732254291 3385413641547 4890041926679 6287196762873 10156240924641 14670125780037 18861590288619 44010377340111 132031132020333