Search a number
-
+
330121122030 = 23257829632089
BaseRepresentation
bin1001100110111001100…
…00001001000011101110
31011120002201010120022100
410303130300021003232
520402042001401110
6411353333155530
732564465144550
oct4633460110356
91146081116270
10330121122030
11118004849087
1253b90a8bba6
132519032153b
1411d996b94d0
1588c1c60bc0
hex4cdcc090ee

330121122030 has 96 divisors (see below), whose sum is σ = 982116158400. Its totient is φ = 75365116416.

The previous prime is 330121122029. The next prime is 330121122031. The reversal of 330121122030 is 30221121033.

330121122030 is a `hidden beast` number, since 330 + 121 + 12 + 203 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (330121122029) and next prime (330121122031).

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 = 330121121994 and 330121122012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330121122031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206226 + ... + 838314.

It is an arithmetic number, because the mean of its divisors is an integer number (10230376650).

Almost surely, 2330121122030 is an apocalyptic number.

330121122030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330121122030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491058079200).

330121122030 is an abundant number, since it is smaller than the sum of its proper divisors (651995036370).

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

330121122030 is a wasteful number, since it uses less digits than its factorization.

330121122030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632938 (or 632935 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330121122030 its reverse (30221121033), we get a palindrome (360342243063).

The spelling of 330121122030 in words is "three hundred thirty billion, one hundred twenty-one million, one hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 829 1658 2487 4145 4974 5803 7461 8290 11606 12435 14922 17409 24870 29015 34818 37305 52227 58030 74610 87045 104454 174090 261135 522270 632089 1264178 1896267 3160445 3792534 4424623 5688801 6320890 8849246 9481335 11377602 13273869 18962670 22123115 26547738 28444005 39821607 44246230 56888010 66369345 79643214 132738690 199108035 398216070 524001781 1048003562 1572005343 2620008905 3144010686 3668012467 4716016029 5240017810 7336024934 7860026715 9432032058 11004037401 15720053430 18340062335 22008074802 23580080145 33012112203 36680124670 47160160290 55020187005 66024224406 110040374010 165060561015 330121122030