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330132121000 = 23531140973379
BaseRepresentation
bin1001100110111010110…
…10000110010110101000
31011120010110211101001121
410303131122012112220
520402102310333000
6411354405025024
732564660504533
oct4633532062650
91146113741047
10330132121000
1111800aa80840
1253b946b5174
13251926a29c6
1411d9ad3da1a
1588c2bd4b1a
hex4cdd6865a8

330132121000 has 128 divisors (see below), whose sum is σ = 844809264000. Its totient is φ = 119752896000.

The previous prime is 330132120937. The next prime is 330132121003. The reversal of 330132121000 is 121231033.

It is not an unprimeable number, because it can be changed into a prime (330132121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4462311 + ... + 4535689.

It is an arithmetic number, because the mean of its divisors is an integer number (6600072375).

Almost surely, 2330132121000 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 330132121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422404632000).

330132121000 is an abundant number, since it is smaller than the sum of its proper divisors (514677143000).

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

330132121000 is a wasteful number, since it uses less digits than its factorization.

330132121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73820 (or 73806 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 330132121000 its reverse (121231033), we get a palindrome (330253352033).

The spelling of 330132121000 in words is "three hundred thirty billion, one hundred thirty-two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 409 440 500 550 818 1000 1100 1375 1636 2045 2200 2750 3272 4090 4499 5500 8180 8998 10225 11000 16360 17996 20450 22495 35992 40900 44990 51125 73379 81800 89980 102250 112475 146758 179960 204500 224950 293516 366895 409000 449900 562375 587032 733790 807169 899800 1124750 1467580 1614338 1834475 2249500 2935160 3228676 3668950 4035845 4499000 6457352 7337900 8071690 9172375 14675800 16143380 18344750 20179225 30012011 32286760 36689500 40358450 60024022 73379000 80716900 100896125 120048044 150060055 161433800 201792250 240096088 300120110 330132121 403584500 600240220 660264242 750300275 807169000 1200480440 1320528484 1500600550 1650660605 2641056968 3001201100 3301321210 3751501375 6002402200 6602642420 7503002750 8253303025 13205284840 15006005500 16506606050 30012011000 33013212100 41266515125 66026424200 82533030250 165066060500 330132121000