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332332012133000 = 235311127992360497
BaseRepresentation
bin100101110010000010001001…
…1100001111101101010001000
31121120200122000022220001222222
41023210010103201331222020
5322024411430101224000
63134451115124433212
7130000124032222565
oct11344042341755210
91546618008801888
10332332012133000
119698923aa75a20
1231334206548808
1311358a0b103b59
145c0cd5315586c
152864ab93aaa85
hex12e411387da88

332332012133000 has 128 divisors (see below), whose sum is σ = 848419633152000. Its totient is φ = 120838511232000.

The previous prime is 332332012132937. The next prime is 332332012133029. The reversal of 332332012133000 is 331210233233.

It is a happy number.

It is a super-2 number, since 2×3323320121330002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139608752 + ... + 141969248.

It is an arithmetic number, because the mean of its divisors is an integer number (6628278384000).

Almost surely, 2332332012133000 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 332332012133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424209816576000).

332332012133000 is an abundant number, since it is smaller than the sum of its proper divisors (516087621019000).

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

332332012133000 is a wasteful number, since it uses less digits than its factorization.

332332012133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373328 (or 2373314 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 332332012133000 its reverse (331210233233), we get a palindrome (332663222366233).

The spelling of 332332012133000 in words is "three hundred thirty-two trillion, three hundred thirty-two billion, twelve million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 12799 25598 51196 63995 102392 127990 140789 255980 281578 319975 511960 563156 639950 703945 1126312 1279900 1407890 1599875 2360497 2559800 2815780 3199750 3519725 4720994 5631560 6399500 7039450 9441988 11802485 12799000 14078900 17598625 18883976 23604970 25965467 28157800 35197250 47209940 51930934 59012425 70394500 94419880 103861868 118024850 129827335 140789000 207723736 236049700 259654670 295062125 472099400 519309340 590124250 649136675 1038618680 1180248500 1298273350 2360497000 2596546700 3245683375 5193093400 6491366750 12982733500 25965467000 30212001103 60424002206 120848004412 151060005515 241696008824 302120011030 332332012133 604240022060 664664024266 755300027575 1208480044120 1329328048532 1510600055150 1661660060665 2658656097064 3021200110300 3323320121330 3776500137875 6042400220600 6646640242660 7553000275750 8308300303325 13293280485320 15106000551500 16616600606650 30212001103000 33233201213300 41541501516625 66466402426600 83083003033250 166166006066500 332332012133000