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133011123140 = 22573773351751
BaseRepresentation
bin111101111100000010…
…1001010101111000100
3110201022202220011001002
41323320011022233010
54134401321420030
6141034321552432
712416065615010
oct1737005125704
9421282804032
10133011123140
1151456347555
12219411a5718
13c709981bbc
14661b369540
1536d73a3245
hex1ef814abc4

133011123140 has 96 divisors (see below), whose sum is σ = 332346545664. Its totient is φ = 43763328000.

The previous prime is 133011123139. The next prime is 133011123181. The reversal of 133011123140 is 41321110331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202265 + ... + 554015.

It is an arithmetic number, because the mean of its divisors is an integer number (3461943184).

Almost surely, 2133011123140 is an apocalyptic number.

133011123140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133011123140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166173272832).

133011123140 is an abundant number, since it is smaller than the sum of its proper divisors (199335422524).

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

133011123140 is a wasteful number, since it uses less digits than its factorization.

133011123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351877 (or 351875 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 133011123140 its reverse (41321110331), we get a palindrome (174332233471).

The spelling of 133011123140 in words is "one hundred thirty-three billion, eleven million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 73 74 140 146 148 185 259 292 365 370 511 518 730 740 1022 1036 1295 1460 2044 2555 2590 2701 5110 5180 5402 10220 10804 13505 18907 27010 37814 54020 75628 94535 189070 351751 378140 703502 1407004 1758755 2462257 3517510 4924514 7035020 9849028 12311285 13014787 24622570 25677823 26029574 49245140 51355646 52059148 65073935 91103509 102711292 128389115 130147870 179744761 182207018 256778230 260295740 359489522 364414036 455517545 513556460 718979044 898723805 911035090 950079451 1797447610 1822070180 1900158902 3594895220 3800317804 4750397255 6650556157 9500794510 13301112314 19001589020 26602224628 33252780785 66505561570 133011123140