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1322130032010 = 2325791131645607
BaseRepresentation
bin10011001111010101000…
…101110100010110001010
311200101122111220120002100
4103033111011310112022
5133130210242011020
62451213403014230
7164343420563214
oct23172505642612
94611574816070
101322130032010
1146a791a31847
121942a280a376
13978a3b76638
1447dc46d75b4
15245d1b8ba90
hex133d517458a

1322130032010 has 96 divisors (see below), whose sum is σ = 3511859120640. Its totient is φ = 345024336384.

The previous prime is 1322130031997. The next prime is 1322130032039. The reversal of 1322130032010 is 102300312231.

1322130032010 is a `hidden beast` number, since 1 + 32 + 2 + 1 + 300 + 320 + 10 = 666.

It is a super-3 number, since 3×13221300320103 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19374 + ... + 1626233.

It is an arithmetic number, because the mean of its divisors is an integer number (36581865840).

Almost surely, 21322130032010 is an apocalyptic number.

1322130032010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322130032010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755929560320).

1322130032010 is an abundant number, since it is smaller than the sum of its proper divisors (2189729088630).

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

1322130032010 is a wasteful number, since it uses less digits than its factorization.

1322130032010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645812 (or 1645809 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1322130032010 its reverse (102300312231), we get a palindrome (1424430344241).

The spelling of 1322130032010 in words is "one trillion, three hundred twenty-two billion, one hundred thirty million, thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 113 158 226 237 339 395 474 565 678 711 790 1017 1130 1185 1422 1695 2034 2370 3390 3555 5085 7110 8927 10170 17854 26781 44635 53562 80343 89270 133905 160686 267810 401715 803430 1645607 3291214 4936821 8228035 9873642 14810463 16456070 24684105 29620926 49368210 74052315 130002953 148104630 185953591 260005906 371907182 390008859 557860773 650014765 780017718 929767955 1115721546 1170026577 1300029530 1673582319 1859535910 1950044295 2340053154 2789303865 3347164638 3900088590 5578607730 5850132885 8367911595 11700265770 14690333689 16735823190 29380667378 44071001067 73451668445 88142002134 132213003201 146903336890 220355005335 264426006402 440710010670 661065016005 1322130032010