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330031002113032 = 231129438933792133
BaseRepresentation
bin100101100001010010101010…
…0101001010101010000001000
31121021112122200222120212100211
41023002211110221111100020
5321224211443020104112
63125530052130210504
7126341644615606423
oct11302452451252010
91537478628525324
10330031002113032
11961813a88909a0
1231022276a23a34
131121ca3670603c
145b6d82b3689ba
152824ce520e0a7
hex12c2954a55408

330031002113032 has 128 divisors (see below), whose sum is σ = 722610993456000. Its totient is φ = 139883206256640.

The previous prime is 330031002112997. The next prime is 330031002113039. The reversal of 330031002113032 is 230311200130033.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 330031002112994 and 330031002113012.

It is not an unprimeable number, because it can be changed into a prime (330031002113039) 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, 7129563 + ... + 26662570.

It is an arithmetic number, because the mean of its divisors is an integer number (5645398386375).

Almost surely, 2330031002113032 is an apocalyptic number.

It is an amenable number.

330031002113032 is an abundant number, since it is smaller than the sum of its proper divisors (392579991342968).

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

330031002113032 is a wasteful number, since it uses less digits than its factorization.

330031002113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33792311 (or 33792307 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 330031002113032 its reverse (230311200130033), we get a palindrome (560342202243065).

The spelling of 330031002113032 in words is "three hundred thirty trillion, thirty-one billion, two million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 11 22 29 43 44 58 86 88 89 116 172 178 232 319 344 356 473 638 712 946 979 1247 1276 1892 1958 2494 2552 2581 3784 3827 3916 4988 5162 7654 7832 9976 10324 13717 15308 20648 27434 28391 30616 42097 54868 56782 84194 109736 110983 113564 168388 221966 227128 336776 443932 887864 1220813 2441626 4883252 9766504 33792133 67584266 135168532 270337064 371713463 743426926 979971857 1453061719 1486853852 1959943714 2906123438 2973707704 3007499837 3919887428 5812246876 6014999674 7839774856 10779690427 11624493752 12029999348 15983678909 21559380854 24059998696 31967357818 33082498207 42138789851 43118761708 63934715636 66164996414 84277579702 86237523416 87217495273 127869431272 129322492991 132329992828 168555159404 174434990546 258644985982 264659985656 337110318808 348869981092 463526688361 517289971964 697739962184 927053376722 959392448003 1034579943928 1422547422901 1854106753444 1918784896006 2845094845802 3708213506888 3750352296739 3837569792012 5690189691604 7500704593478 7675139584024 11380379383208 15001409186956 30002818373912 41253875264129 82507750528258 165015501056516 330031002113032