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130440012023020 = 22578771381769289
BaseRepresentation
bin11101101010001001101110…
…100101001100010011101100
3122002211221110201021000202011
4131222021232211030103230
5114044112121034214040
61141231151514411004
736321660045200020
oct3552115645142354
9562757421230664
10130440012023020
113862033124a747
1212768194130a64
1357a25955c539b
14242d48a37c380
15101309da513ea
hex76a26e94c4ec

130440012023020 has 96 divisors (see below), whose sum is σ = 313640345370240. Its totient is φ = 44638890117120.

The previous prime is 130440012023017. The next prime is 130440012023023. The reversal of 130440012023020 is 20320210044031.

130440012023020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130440012023017) and next prime (130440012023023).

It is a junction number, because it is equal to n+sod(n) for n = 130440012022982 and 130440012023000.

It is not an unprimeable number, because it can be changed into a prime (130440012023023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169174536 + ... + 169943824.

It is an arithmetic number, because the mean of its divisors is an integer number (3267086930940).

Almost surely, 2130440012023020 is an apocalyptic number.

130440012023020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130440012023020 is an abundant number, since it is smaller than the sum of its proper divisors (183200333347220).

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

130440012023020 is a wasteful number, since it uses less digits than its factorization.

130440012023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771563 (or 771561 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 130440012023020 its reverse (20320210044031), we get a palindrome (150760222067051).

The spelling of 130440012023020 in words is "one hundred thirty trillion, four hundred forty billion, twelve million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 877 1381 1754 2762 3508 4385 5524 6139 6905 8770 9667 12278 13810 17540 19334 24556 27620 30695 38668 48335 61390 96670 122780 193340 769289 1211137 1538578 2422274 3077156 3846445 4844548 5385023 6055685 7692890 8477959 10770046 12111370 15385780 16955918 21540092 24222740 26925115 33911836 42389795 53850230 84779590 107700460 169559180 674666453 1062388109 1349332906 2124776218 2698665812 3373332265 4249552436 4722665171 5311940545 6746664530 7436716763 9445330342 10623881090 13493329060 14873433526 18890660684 21247762180 23613325855 29746867052 37183583815 47226651710 74367167630 94453303420 148734335260 931714371593 1863428743186 3726857486372 4658571857965 6522000601151 9317143715930 13044001202302 18634287431860 26088002404604 32610003005755 65220006011510 130440012023020