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133121011002 = 23717491379723
BaseRepresentation
bin111101111111010100…
…0010110110100111010
3110201121102200000211220
41323332220112310322
54140112434323002
6141053245132510
712421601631540
oct1737650266472
9421542600756
10133121011002
1151502381971
1221971b5a136
13c7266781c5
14662bbb1d90
1536e1d5c7bc
hex1efea16d3a

133121011002 has 64 divisors (see below), whose sum is σ = 322832231424. Its totient is φ = 35724245760.

The previous prime is 133121010983. The next prime is 133121011013. The reversal of 133121011002 is 200110121331.

It is a happy 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, 160713 + ... + 540435.

It is an arithmetic number, because the mean of its divisors is an integer number (5044253616).

Almost surely, 2133121011002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133121011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161416115712).

133121011002 is an abundant number, since it is smaller than the sum of its proper divisors (189711220422).

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

133121011002 is a wasteful number, since it uses less digits than its factorization.

133121011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380243.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 133121011002 its reverse (200110121331), we get a palindrome (333231132333).

The spelling of 133121011002 in words is "one hundred thirty-three billion, one hundred twenty-one million, eleven thousand, two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 491 714 982 1473 2946 3437 6874 8347 10311 16694 20622 25041 50082 58429 116858 175287 350574 379723 759446 1139169 2278338 2658061 5316122 6455291 7974183 12910582 15948366 19365873 38731746 45187037 90374074 135561111 186443993 271122222 372887986 559331979 1118663958 1305107951 2610215902 3169547881 3915323853 6339095762 7830647706 9508643643 19017287286 22186835167 44373670334 66560505501 133121011002