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123031140554421 = 3311597021123127
BaseRepresentation
bin11011111110010101101011…
…011011011101011010110101
3121010121122212201111101022000
4123332111223123131122311
5112111220233440220141
61113355420430325513
734625464232610531
oct3376255333353265
9533548781441260
10123031140554421
1136224239478380
1211970314059899
135385a2c701628
142254a4ba68bc1
15e354c7bba5b6
hex6fe56b6dd6b5

123031140554421 has 32 divisors (see below), whose sum is σ = 202208346086400. Its totient is φ = 73300525435440.

The previous prime is 123031140554419. The next prime is 123031140554453. The reversal of 123031140554421 is 124455041130321.

123031140554421 is a `hidden beast` number, since 1 + 2 + 30 + 3 + 11 + 40 + 554 + 4 + 21 = 666.

It is not a de Polignac number, because 123031140554421 - 21 = 123031140554419 is a prime.

It is a super-3 number, since 3×1230311405544213 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123031140553421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3510544041 + ... + 3510579086.

It is an arithmetic number, because the mean of its divisors is an integer number (6319010815200).

Almost surely, 2123031140554421 is an apocalyptic number.

123031140554421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123031140554421 is a deficient number, since it is larger than the sum of its proper divisors (79177205531979).

123031140554421 is a wasteful number, since it uses less digits than its factorization.

123031140554421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021123206 (or 7021123200 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 123031140554421 its reverse (124455041130321), we get a palindrome (247486181684742).

The spelling of 123031140554421 in words is "one hundred twenty-three trillion, thirty-one billion, one hundred forty million, five hundred fifty-four thousand, four hundred twenty-one".

Divisors: 1 3 9 11 27 33 59 99 177 297 531 649 1593 1947 5841 17523 7021123127 21063369381 63190108143 77232354397 189570324429 231697063191 414246264493 695091189573 1242738793479 2085273568719 3728216380437 4556708909423 11184649141311 13670126728269 41010380184807 123031140554421