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332030101112001 = 3217191492351326057
BaseRepresentation
bin100101101111110101100100…
…0001110110100010011000001
31121112121202201122001010021100
41023133223020032310103001
5322004440121341041001
63134100304523445013
7126636245300666355
oct11337531016642301
91545552648033240
10332030101112001
11968821a2086326
12312a57a9086769
13113363c53b31b6
145bdc4b22bb465
15285bce9063586
hex12dfac83b44c1

332030101112001 has 96 divisors (see below), whose sum is σ = 538355668032000. Its totient is φ = 195959134310400.

The previous prime is 332030101111913. The next prime is 332030101112011. The reversal of 332030101112001 is 100211101030233.

332030101112001 is a `hidden beast` number, since 3 + 320 + 30 + 1 + 0 + 111 + 200 + 1 = 666.

It is not a de Polignac number, because 332030101112001 - 230 = 332029027370177 is a prime.

It is a super-2 number, since 2×3320301011120012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332030101112011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1018156165 + ... + 1018482221.

It is an arithmetic number, because the mean of its divisors is an integer number (5607871542000).

Almost surely, 2332030101112001 is an apocalyptic number.

It is an amenable number.

332030101112001 is a deficient number, since it is larger than the sum of its proper divisors (206325566919999).

332030101112001 is a wasteful number, since it uses less digits than its factorization.

332030101112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328599 (or 328596 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 332030101112001 its reverse (100211101030233), we get a palindrome (432241202142234).

The spelling of 332030101112001 in words is "three hundred thirty-two trillion, thirty billion, one hundred one million, one hundred twelve thousand, one".

Divisors: 1 3 9 17 19 51 57 149 153 171 323 447 969 1341 2351 2533 2831 2907 7053 7599 8493 21159 22797 25479 39967 44669 48127 119901 134007 144381 326057 350299 359703 402021 433143 759373 978171 1050897 2278119 2934513 3152691 5542969 5955083 6195083 6655681 6834357 16628907 17865249 18585249 19967043 48582493 49886721 53595747 55755747 59901129 105316411 113146577 145747479 315949233 339439731 437242437 766560007 825902381 923067367 947847699 1018319193 2299680021 2477707143 2769202101 6899040063 7433121429 8307606303 13031520119 14564640133 15692145239 39094560357 43693920399 47076435717 114217441043 117283681071 131081761197 141229307151 247598882261 342652323129 742796646783 1027956969387 1941696497731 2170131379817 2228389940349 5825089493193 6510394139451 17475268479579 19531182418353 36892233456889 110676700370667 332030101112001