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117351122004 = 223812893469
BaseRepresentation
bin110110101001010101…
…1000000010001010100
3102012220101211200000000
41231102223000101110
53410313341401004
6125524345451300
711323033036014
oct1552253002124
9365811750000
10117351122004
114584a715956
121a8b07a0b30
13b0b248c93c
14597361dc44
1530bc66cc39
hex1b52ac0454

117351122004 has 108 divisors (see below), whose sum is σ = 308358878100. Its totient is φ = 39075426432.

The previous prime is 117351121963. The next prime is 117351122011. The reversal of 117351122004 is 400221153711.

It can be written as a sum of positive squares in 2 ways, for example, as 42395633604 + 74955488400 = 205902^2 + 273780^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33826782 + ... + 33830250.

Almost surely, 2117351122004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117351122004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154179439050).

117351122004 is an abundant number, since it is smaller than the sum of its proper divisors (191007756096).

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

117351122004 is an equidigital number, since it uses as much as digits as its factorization.

117351122004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 117351122004 its reverse (400221153711), we get a palindrome (517572275715).

The spelling of 117351122004 in words is "one hundred seventeen billion, three hundred fifty-one million, one hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1289 1458 2187 2578 2916 3469 3867 4374 5156 6561 6938 7734 8748 10407 11601 13122 13876 15468 20814 23202 26244 31221 34803 41628 46404 62442 69606 93663 104409 124884 139212 187326 208818 280989 313227 374652 417636 561978 626454 842967 939681 1123956 1252908 1685934 1879362 2528901 2819043 3371868 3758724 4471541 5057802 5638086 7586703 8457129 8943082 10115604 11276172 13414623 15173406 16914258 17886164 22760109 26829246 30346812 33828516 40243869 45520218 53658492 80487738 91040436 120731607 160975476 241463214 362194821 482926428 724389642 1086584463 1448779284 2173168926 3259753389 4346337852 6519506778 9779260167 13039013556 19558520334 29337780501 39117040668 58675561002 117351122004