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132002311202004 = 223171518431508271
BaseRepresentation
bin11110000000111000101110…
…110111100110010011010100
3122022101022001000210100212010
4132000320232313212103110
5114300211213131431004
61144425005152024220
736542565220125015
oct3600705667462324
9568338030710763
10132002311202004
1139072958420311
121297ab22b32070
1358869c28b43b9
142484d3599500c
15103da3a40ba89
hex780e2ede64d4

132002311202004 has 96 divisors (see below), whose sum is σ = 328322698002432. Its totient is φ = 41133274560000.

The previous prime is 132002311201993. The next prime is 132002311202017. The reversal of 132002311202004 is 400202113200231.

132002311202004 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1320023112020042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259454389 + ... + 259962659.

It is an arithmetic number, because the mean of its divisors is an integer number (3420028104192).

Almost surely, 2132002311202004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132002311202004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164161349001216).

132002311202004 is an abundant number, since it is smaller than the sum of its proper divisors (196320386800428).

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

132002311202004 is a wasteful number, since it uses less digits than its factorization.

132002311202004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516877 (or 516875 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132002311202004 its reverse (400202113200231), we get a palindrome (532204424402235).

The spelling of 132002311202004 in words is "one hundred thirty-two trillion, two billion, three hundred eleven million, two hundred two thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 151 204 302 453 604 906 1812 2567 5134 7701 8431 10268 15402 16862 25293 30804 33724 50586 101172 143327 286654 429981 508271 573308 859962 1016542 1273081 1524813 1719924 2033084 2546162 3049626 3819243 5092324 6099252 7638486 8640607 15276972 17281214 21642377 25921821 34562428 43284754 51843642 64927131 76748921 86569508 103687284 129854262 153497842 230246763 259708524 306995684 460493526 920987052 1304731657 2609463314 3914194971 4285232801 5218926628 7828389942 8570465602 12855698403 15656779884 17140931204 25711396806 51422793612 72848957617 145697915234 218546872851 291395830468 437093745702 647070152951 874187491404 1294140305902 1941210458853 2588280611804 3882420917706 7764841835412 11000192600167 22000385200334 33000577800501 44000770400668 66001155601002 132002311202004