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132134101002332 = 2211136072083182701
BaseRepresentation
bin11110000010110011011110…
…001001110010100001011100
3122022211220012200112212221222
4132002303132021302201130
5114304341114324033312
61145005322404512512
736555242126006102
oct3602633611624134
9568756180485858
10132134101002332
1139113837317970
12129a05830ab738
135896266517580
14248b478a3dc72
1510421a0461672
hex782cde27285c

132134101002332 has 96 divisors (see below), whose sum is σ = 272239988127744. Its totient is φ = 55322670816000.

The previous prime is 132134101002329. The next prime is 132134101002347. The reversal of 132134101002332 is 233200101431231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 723134582 + ... + 723317282.

It is an arithmetic number, because the mean of its divisors is an integer number (2835833209664).

Almost surely, 2132134101002332 is an apocalyptic number.

It is an amenable number.

132134101002332 is an abundant number, since it is smaller than the sum of its proper divisors (140105887125412).

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

132134101002332 is a wasteful number, since it uses less digits than its factorization.

132134101002332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185419 (or 185417 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 132134101002332 its reverse (233200101431231), we get a palindrome (365334202433563).

The spelling of 132134101002332 in words is "one hundred thirty-two trillion, one hundred thirty-four billion, one hundred one million, two thousand, three hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 607 1214 2083 2428 4166 6677 7891 8332 13354 15782 22913 26708 27079 31564 45826 54158 86801 91652 108316 173602 182701 297869 347204 365402 595738 730804 1191476 1264381 2009711 2375113 2528762 4019422 4750226 5057524 8038844 9500452 13908191 16436953 26126243 27816382 32873906 52252486 55632764 65747812 104504972 110899507 180806483 221799014 361612966 380566183 443598028 723225932 761132366 1219894577 1441693591 1522264732 2439789154 2883387182 4186228013 4879578308 4947360379 5766774364 8372456026 9894720758 15858629501 16744912052 19789441516 31717259002 54420964169 63434518004 108841928338 217683856676 231003673081 462007346162 924014692324 2541040403891 3003047750053 5082080807782 6006095500106 10164161615564 12012191000212 33033525250583 66067050501166 132134101002332