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100440033341011 = 713372771069100741
BaseRepresentation
bin10110110101100110000100…
…100000100010111001010011
3111011121222021121200100001021
4112311212010200202321103
5101131102142013403021
6553341303032220311
730104360441626210
oct2665460440427123
9434558247610037
10100440033341011
112a00441939a171
12b321b4bb3a697
1344075ba70b440
141ab3475b80b07
15b92a20a88c41
hex5b5984822e53

100440033341011 has 64 divisors (see below), whose sum is σ = 127538340401920. Its totient is φ = 76969254205440.

The previous prime is 100440033340993. The next prime is 100440033341051. The reversal of 100440033341011 is 110143330044001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100440033341011 - 211 = 100440033338963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100440033341051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996962101 + ... + 997062841.

It is an arithmetic number, because the mean of its divisors is an integer number (1992786568780).

Almost surely, 2100440033341011 is an apocalyptic number.

100440033341011 is a deficient number, since it is larger than the sum of its proper divisors (27098307060909).

100440033341011 is a wasteful number, since it uses less digits than its factorization.

100440033341011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102144.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 100440033341011 its reverse (110143330044001), we get a palindrome (210583363385012).

The spelling of 100440033341011 in words is "one hundred trillion, four hundred forty billion, thirty-three million, three hundred forty-one thousand, eleven".

Divisors: 1 7 13 37 91 259 277 481 1069 1939 3367 3601 7483 10249 13897 25207 39553 71743 97279 100741 133237 276871 296113 514189 705187 932659 1309633 2072791 3599323 3727417 3849469 9167431 10956181 26091919 26946283 27905257 48456421 76693267 107692129 142430353 195336799 339194947 362768341 753844903 997012471 1032494509 1399997677 2539378387 3984608773 7227461563 9799983739 13422428617 27892261411 29830719733 51799914049 93957000319 208815038131 362599398343 387799356529 1103736630121 2714595495703 7726156410847 14348576191573 100440033341011