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330120023220 = 2232513141076933
BaseRepresentation
bin1001100110111001010…
…11111100110010110100
31011120002122001202000200
410303130223330302310
520402041211220340
6411353253440500
732564452620201
oct4633453746264
91146078052020
10330120023220
11118004168579
1253b90640130
1325190028360
1411d994b0ca8
1588c1ae5330
hex4cdcafccb4

330120023220 has 72 divisors (see below), whose sum is σ = 1078392083496. Its totient is φ = 81260312832.

The previous prime is 330120023179. The next prime is 330120023243. The reversal of 330120023220 is 22320021033.

It is a happy number.

330120023220 is a `hidden beast` number, since 330 + 12 + 0 + 0 + 2 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11089353636 + 319030669584 = 105306^2 + 564828^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330120023193 and 330120023202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70536127 + ... + 70540806.

Almost surely, 2330120023220 is an apocalyptic number.

330120023220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330120023220 is an abundant number, since it is smaller than the sum of its proper divisors (748272060276).

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

330120023220 is a wasteful number, since it uses less digits than its factorization.

330120023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141076961 (or 141076956 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 330120023220 its reverse (22320021033), we get a palindrome (352440044253).

The spelling of 330120023220 in words is "three hundred thirty billion, one hundred twenty million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 141076933 282153866 423230799 564307732 705384665 846461598 1269692397 1410769330 1692923196 1834000129 2116153995 2539384794 2821538660 3668000258 4232307990 5078769588 5502000387 6348461985 7336000516 8464615980 9170000645 11004000774 12696923970 16506001161 18340001290 22008001548 25393847940 27510001935 33012002322 36680002580 55020003870 66024004644 82530005805 110040007740 165060011610 330120023220