Search a number
-
+
330010131132 = 2232114273195029
BaseRepresentation
bin1001100110101100010…
…00101111101010111100
31011112210222021122102100
410303112020233222330
520401330043144012
6411334330225100
732561646555123
oct4632610575274
91145728248370
10330010131132
11117a5812aa70
1253b5b885190
1325173330156
1411d88a66aba
1588b71398dc
hex4cd622fabc

330010131132 has 72 divisors (see below), whose sum is σ = 910245576240. Its totient is φ = 99979153920.

The previous prime is 330010131119. The next prime is 330010131173. The reversal of 330010131132 is 231131010033.

It is a happy number.

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

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, 1594594 + ... + 1789622.

It is an arithmetic number, because the mean of its divisors is an integer number (12642299670).

Almost surely, 2330010131132 is an apocalyptic number.

It is an amenable number.

330010131132 is an abundant number, since it is smaller than the sum of its proper divisors (580235445108).

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

330010131132 is a wasteful number, since it uses less digits than its factorization.

330010131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199323 (or 199318 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 330010131132 its reverse (231131010033), we get a palindrome (561141141165).

The spelling of 330010131132 in words is "three hundred thirty billion, ten million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 4273 8546 12819 17092 25638 38457 47003 51276 76914 94006 141009 153828 188012 195029 282018 390058 423027 564036 585087 780116 846054 1170174 1692108 1755261 2145319 2340348 3510522 4290638 6435957 7021044 8581276 12871914 19307871 25743828 38615742 77231484 833358917 1666717834 2500076751 3333435668 5000153502 7500230253 9166948087 10000307004 15000460506 18333896174 27500844261 30000921012 36667792348 55001688522 82502532783 110003377044 165005065566 330010131132