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232120141021232 = 24101317821551911
BaseRepresentation
bin110100110001110010101110…
…100011010000000000110000
31010102212110122201200220021122
4310301302232203100000300
5220411024022100134412
62141402304244441412
766615061324240112
oct6461625643200060
91112773581626248
10232120141021232
1167a62665279682
122204a5316a9268
139c69ab2423969
1441469637d53b2
151bc7e9e3a5572
hexd31cae8d0030

232120141021232 has 80 divisors (see below), whose sum is σ = 456174116898624. Its totient is φ = 114408735360000.

The previous prime is 232120141021193. The next prime is 232120141021283.

232120141021232 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420299357 + ... + 420851267.

Almost surely, 2232120141021232 is an apocalyptic number.

It is an amenable number.

232120141021232 is a deficient number, since it is larger than the sum of its proper divisors (224053975877392).

232120141021232 is a wasteful number, since it uses less digits than its factorization.

232120141021232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553158 (or 553152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 232120141021232 in words is "two hundred thirty-two trillion, one hundred twenty billion, one hundred forty-one million, twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 101 202 317 404 634 808 821 1268 1616 1642 2536 3284 5072 6568 13136 32017 64034 82921 128068 165842 256136 260257 331684 512272 520514 551911 663368 1041028 1103822 1326736 2082056 2207644 4164112 4415288 8830576 26285957 52571914 55743011 105143828 111486022 174955787 210287656 222972044 349911574 420575312 445944088 453118931 699823148 891888176 906237862 1399646296 1812475724 2799292592 3624951448 7249902896 17670534487 35341068974 45765012031 70682137948 91530024062 141364275896 143638701127 183060048124 282728551792 287277402254 366120096248 574554804508 732240192496 1149109609016 2298219218032 14507508813827 29015017627654 58030035255308 116060070510616 232120141021232