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10132134242202 = 2327311941274777
BaseRepresentation
bin1001001101110001001001…
…0000110010011110011010
31022212121210212010020100200
42103130102100302132122
52312001102331222302
633314345504243030
72064010506023160
oct223342220623632
938777725106320
1010132134242202
1132570176a9985
121177813310476
135865c1249a5b
1427057dc39230
1512886033481c
hex9371243279a

10132134242202 has 96 divisors (see below), whose sum is σ = 25196606233344. Its totient is φ = 2882510150400.

The previous prime is 10132134242117. The next prime is 10132134242221. The reversal of 10132134242202 is 20224243123101.

10132134242202 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 13 + 424 + 220 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36736638 + ... + 37011414.

It is an arithmetic number, because the mean of its divisors is an integer number (262464648264).

Almost surely, 210132134242202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132134242202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12598303116672).

10132134242202 is an abundant number, since it is smaller than the sum of its proper divisors (15064471991142).

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

10132134242202 is a wasteful number, since it uses less digits than its factorization.

10132134242202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276044 (or 276041 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10132134242202 its reverse (20224243123101), we get a palindrome (30356377365303).

The spelling of 10132134242202 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-four million, two hundred forty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 311 622 933 941 1866 1882 2177 2799 2823 4354 5598 5646 6531 6587 8469 13062 13174 16938 19593 19761 39186 39522 59283 118566 274777 292651 549554 585302 824331 877953 1648662 1755906 1923439 2048557 2472993 2633859 3846878 4097114 4945986 5267718 5770317 6145671 11540634 12291342 17310951 18437013 34621902 36874026 85455647 170911294 256366941 258565157 512733882 517130314 598189529 769100823 775695471 1196379058 1538201646 1551390942 1794568587 1809956099 2327086413 3589137174 3619912198 4654172826 5383705761 5429868297 10767411522 10859736594 16289604891 32579209782 80413763827 160827527654 241241291481 482482582962 562896346789 723723874443 1125792693578 1447447748886 1688689040367 3377378080734 5066067121101 10132134242202