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151004342243331 = 32319731179722511
BaseRepresentation
bin100010010101011001110000…
…001011011101000000000011
3201210122212121020121000221200
4202111121300023131000003
5124243023343103241311
61253054234231552243
743543463241026103
oct4225316013350003
9653585536530850
10151004342243331
1144129644580905
1214b297a082b683
1366348576248b5
142940913425203
15126ce81ec1556
hex8956702dd003

151004342243331 has 96 divisors (see below), whose sum is σ = 228502508322816. Its totient is φ = 95982928128000.

The previous prime is 151004342243311. The next prime is 151004342243387. The reversal of 151004342243331 is 133342243400151.

151004342243331 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 0 + 43 + 42 + 243 + 331 = 666.

It is not a de Polignac number, because 151004342243331 - 25 = 151004342243299 is a prime.

It is a super-2 number, since 2×1510043422433312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151004342243311) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6708013366 + ... + 6708035876.

It is an arithmetic number, because the mean of its divisors is an integer number (2380234461696).

Almost surely, 2151004342243331 is an apocalyptic number.

151004342243331 is a deficient number, since it is larger than the sum of its proper divisors (77498166079485).

151004342243331 is a wasteful number, since it uses less digits than its factorization.

151004342243331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23753 (or 23750 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 151004342243331 its reverse (133342243400151), we get a palindrome (284346585643482).

The spelling of 151004342243331 in words is "one hundred fifty-one trillion, four billion, three hundred forty-two million, two hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 31 93 97 279 291 311 797 873 933 2391 2799 3007 7173 9021 9641 22511 24707 27063 28923 30167 67533 74121 77309 86769 90501 202599 222363 231927 247867 271503 695781 697841 743601 935177 2093523 2183567 2230803 2396579 2805531 6280569 6550701 7000921 7189737 7683877 8416593 17941267 19652103 21002763 21569211 23051631 24043099 53823801 63008289 67690577 69154893 72129297 161471403 203071731 216387891 217028551 556179277 609215193 651085653 679089337 745336069 1668537831 1740302899 1953256959 2037268011 2236008207 5005613493 5220908697 5579734037 6111804033 6708024621 15662726091 16739202111 21051769447 50217606333 53949389869 63155308341 161848169607 172971755147 189465925023 485544508821 518915265441 541234201589 1556745796323 1623702604767 4871107814301 16778260249259 50334780747777 151004342243331