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104224011220032 = 26311378891302449
BaseRepresentation
bin10111101100101010001011…
…001010100111010001000000
3111200000201101112122021101220
4113230222023022213101000
5102130101233333020112
61005355503314355040
730644636105123334
oct2754521312472100
9450021345567356
10104224011220032
1130233178245a40
12b83338a58ba80
134620388987b42
141ba467d14d7c4
15c0b18bba998c
hex5eca8b2a7440

104224011220032 has 112 divisors (see below), whose sum is σ = 300836566728000. Its totient is φ = 31582175887360.

The previous prime is 104224011220013. The next prime is 104224011220037. The reversal of 104224011220032 is 230022110422401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 104224011219984 and 104224011220011.

It is not an unprimeable number, because it can be changed into a prime (104224011220037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79370344 + ... + 80672792.

Almost surely, 2104224011220032 is an apocalyptic number.

104224011220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104224011220032 is an abundant number, since it is smaller than the sum of its proper divisors (196612555507968).

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

104224011220032 is a wasteful number, since it uses less digits than its factorization.

104224011220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340364 (or 1340354 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 104224011220032 its reverse (230022110422401), we get a palindrome (334246121642433).

The spelling of 104224011220032 in words is "one hundred four trillion, two hundred twenty-four billion, eleven million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 37889 75778 113667 151556 227334 303112 416779 454668 606224 833558 909336 1212448 1250337 1302449 1667116 1818672 2424896 2500674 2604898 3334232 3637344 3907347 5001348 5209796 6668464 7274688 7814694 10002696 10419592 13336928 14326939 15629388 20005392 20839184 26673856 28653878 31258776 40010784 41678368 42980817 57307756 62517552 80021568 83356736 85961634 114615512 125035104 171923268 229231024 250070208 343846536 458462048 687693072 916924096 1375386144 2750772288 49348490161 98696980322 148045470483 197393960644 296090940966 394787921288 542833391771 592181881932 789575842576 1085666783542 1184363763864 1579151685152 1628500175313 2171333567084 2368727527728 3158303370304 3257000350626 4342667134168 4737455055456 6514000701252 8685334268336 9474910110912 13028001402504 17370668536672 26056002805008 34741337073344 52112005610016 104224011220032