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1322013002232 = 2331323434284349
BaseRepresentation
bin10011001111001110000…
…111011000100111111000
311200101100100200211102010
4103033032013120213320
5133124440312032412
62451154022405520
7164340500052426
oct23171607304770
94611310624363
101322013002232
1146a73196961a
1219426b5908a0
139788584c650
1447db2d52116
15245c677133c
hex133ce1d89f8

1322013002232 has 128 divisors (see below), whose sum is σ = 3800389824000. Its totient is φ = 380038804992.

The previous prime is 1322013002171. The next prime is 1322013002237. The reversal of 1322013002232 is 2322003102231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1322013002199 and 1322013002208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322013002237) 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, 1833607 + ... + 2450742.

It is an arithmetic number, because the mean of its divisors is an integer number (29690545500).

Almost surely, 21322013002232 is an apocalyptic number.

1322013002232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1322013002232 is an abundant number, since it is smaller than the sum of its proper divisors (2478376821768).

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

1322013002232 is a wasteful number, since it uses less digits than its factorization.

1322013002232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284437 (or 4284433 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1322013002232 its reverse (2322003102231), we get a palindrome (3644016104463).

Subtracting 1322013002232 from its reverse (2322003102231), we obtain a palindrome (999990099999).

The spelling of 1322013002232 in words is "one trillion, three hundred twenty-two billion, thirteen million, two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 43 46 52 69 78 86 92 104 129 138 156 172 184 258 276 299 312 344 516 552 559 598 897 989 1032 1118 1196 1677 1794 1978 2236 2392 2967 3354 3588 3956 4472 5934 6708 7176 7912 11868 12857 13416 23736 25714 38571 51428 77142 102856 154284 308568 4284349 8568698 12853047 17137396 25706094 34274792 51412188 55696537 98540027 102824376 111393074 167089611 184227007 197080054 222786148 295620081 334179222 368454014 394160108 445572296 552681021 591240162 668358444 736908028 788320216 1105362042 1182480324 1281020351 1336716888 1473816056 2210724084 2364960648 2394951091 2562040702 3843061053 4237221161 4421448168 4789902182 5124081404 7184853273 7686122106 8474442322 9579804364 10248162808 12711663483 14369706546 15372244212 16948884644 19159608728 25423326966 28739413092 30744488424 33897769288 50846653932 55083875093 57478826184 101693307864 110167750186 165251625279 220335500372 330503250558 440671000744 661006501116 1322013002232