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10432312121020 = 22567101769100237
BaseRepresentation
bin1001011111001111011001…
…0000100001011010111100
31100221022121202202102222011
42113303312100201122330
52331410333400333040
634104312114101004
72124465263630626
oct227636620413274
940838552672864
1010432312121020
11336235624a169
121205a2827a764
135a89bbb88baa
14280cd8841c16
1513157d42d3ea
hex97cf64216bc

10432312121020 has 96 divisors (see below), whose sum is σ = 22484409837120. Its totient is φ = 4064609894400.

The previous prime is 10432312120963. The next prime is 10432312121051. The reversal of 10432312121020 is 2012121323401.

It is a super-2 number, since 2×104323121210202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10432312120982 and 10432312121000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104026342 + ... + 104126578.

It is an arithmetic number, because the mean of its divisors is an integer number (234212602470).

Almost surely, 210432312121020 is an apocalyptic number.

10432312121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10432312121020 is an abundant number, since it is smaller than the sum of its proper divisors (12052097716100).

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

10432312121020 is a wasteful number, since it uses less digits than its factorization.

10432312121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101183 (or 101181 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10432312121020 its reverse (2012121323401), we get a palindrome (12444433444421).

The spelling of 10432312121020 in words is "ten trillion, four hundred thirty-two billion, three hundred twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 67 101 134 202 268 335 404 505 670 769 1010 1340 1538 2020 3076 3845 6767 7690 13534 15380 27068 33835 51523 67670 77669 100237 103046 135340 155338 200474 206092 257615 310676 388345 400948 501185 515230 776690 1002370 1030460 1553380 2004740 5203823 6715879 10123937 10407646 13431758 20247874 20815292 26019115 26863516 33579395 40495748 50619685 52038230 67158790 77082253 101239370 104076460 134317580 154164506 202478740 308329012 385411265 678303779 770822530 1356607558 1541645060 2713215116 3391518895 5164510951 6783037790 7785307553 10329021902 13566075580 15570615106 20658043804 25822554755 31141230212 38926537765 51645109510 77853075530 103290219020 155706151060 521615606051 1043231212102 2086462424204 2608078030255 5216156060510 10432312121020