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330100343234242 = 272411011575181017
BaseRepresentation
bin100101100001110010111100…
…1101100101101111011000010
31121021210021200111010210110021
41023003211321230231323002
5321231331000331443432
63130022000523124054
7126346651142452600
oct11303457154557302
91537707614123407
10330100343234242
11961a885106a639
12310337a907362a
13112264374ab289
145b72d2866c870
152826a02a71697
hex12c3979b2dec2

330100343234242 has 96 divisors (see below), whose sum is σ = 599677508684016. Its totient is φ = 135784067328000.

The previous prime is 330100343234231. The next prime is 330100343234267. The reversal of 330100343234242 is 242432343001033.

It can be written as a sum of positive squares in 8 ways, for example, as 253921643536561 + 76178699697681 = 15934919^2 + 8728041^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330100343234198 and 330100343234207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61122918 + ... + 66303934.

Almost surely, 2330100343234242 is an apocalyptic number.

330100343234242 is a deficient number, since it is larger than the sum of its proper divisors (269577165449774).

330100343234242 is a wasteful number, since it uses less digits than its factorization.

330100343234242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181332 (or 5181325 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 330100343234242 its reverse (242432343001033), we get a palindrome (572532686235275).

The spelling of 330100343234242 in words is "three hundred thirty trillion, one hundred billion, three hundred forty-three million, two hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 7 14 41 49 82 98 101 157 202 287 314 574 707 1099 1414 2009 2198 4018 4141 4949 6437 7693 8282 9898 12874 15386 15857 28987 31714 45059 57974 90118 110999 202909 221998 315413 405818 630826 650137 776993 1300274 1553986 4550959 5181017 9101918 10362034 31856713 36267119 63713426 72534238 212421697 253869833 424843394 507739666 523282717 813419669 1046565434 1486951879 1626839338 2973903758 3662979019 5693937683 7325958038 10408663153 11387875366 20817326306 21454591397 25640853133 33350206429 39857563781 42909182794 51281706266 66700412858 79715127562 82155386569 150182139779 164310773138 233451445003 300364279558 466902890006 575087705983 1051274978453 1150175411966 1634160115021 2102549956906 3268320230042 3368370849329 4025613941881 6736741698658 8051227883762 23578595945303 47157191890606 165050171617121 330100343234242