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330231142134120 = 233540795987112687
BaseRepresentation
bin100101100010101111110110…
…1111010111011000101101000
31121022020210022002100100200110
41023011133231322323011220
5321241001334341242440
63130202031541334320
7126362261356662243
oct11305375572730550
91538223262310613
10330231142134120
1196249271698aa7
12310550114073a0
1311235880a3c016
145b793b5c9825a
15282a10aae1080
hex12c57edebb168

330231142134120 has 128 divisors (see below), whose sum is σ = 991110612787200. Its totient is φ = 88024562524416.

The previous prime is 330231142134043. The next prime is 330231142134121. The reversal of 330231142134120 is 21431241132033.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (330231142134121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2930460417 + ... + 2930573103.

It is an arithmetic number, because the mean of its divisors is an integer number (7743051662400).

Almost surely, 2330231142134120 is an apocalyptic number.

330231142134120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330231142134120 is an abundant number, since it is smaller than the sum of its proper divisors (660879470653080).

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

330231142134120 is a wasteful number, since it uses less digits than its factorization.

330231142134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122767 (or 122763 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 330231142134120 its reverse (21431241132033), we get a palindrome (351662383266153).

The spelling of 330231142134120 in words is "three hundred thirty trillion, two hundred thirty-one billion, one hundred forty-two million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4079 5987 8158 11974 12237 16316 17961 20395 23948 24474 29935 32632 35922 40790 47896 48948 59870 61185 71844 81580 89805 97896 112687 119740 122370 143688 163160 179610 225374 239480 244740 338061 359220 450748 489480 563435 676122 718440 901496 1126870 1352244 1690305 2253740 2704488 3380610 4507480 6761220 13522440 24420973 48841946 73262919 97683892 122104865 146525838 195367784 244209730 293051676 366314595 459650273 488419460 586103352 674657069 732629190 919300546 976838920 1349314138 1378950819 1465258380 1838601092 2023971207 2298251365 2698628276 2757901638 2930516760 3373285345 3677202184 4047942414 4596502730 5397256552 5515803276 6746570690 6894754095 8095884828 9193005460 10119856035 11031606552 13493141380 13789508190 16191769656 18386010920 20239712070 26986282760 27579016380 40479424140 55158032760 80958848280 2751926184451 5503852368902 8255778553353 11007704737804 13759630922255 16511557106706 22015409475608 27519261844510 33023114213412 41278892766765 55038523689020 66046228426824 82557785533530 110077047378040 165115571067060 330231142134120