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1322120003220 = 2232537198516517
BaseRepresentation
bin10011001111010100011…
…111100011111010010100
311200101121211001001011200
4103033110133203322110
5133130200210100340
62451212404032500
7164343236413602
oct23172437437224
94611554031150
101322120003220
1146a787301a95
1219429b392730
13978a1a74943
1447dc3246872
15245d0d5a330
hex133d47e3e94

1322120003220 has 72 divisors (see below), whose sum is σ = 4118820715464. Its totient is φ = 343036539648.

The previous prime is 1322120003219. The next prime is 1322120003263. The reversal of 1322120003220 is 223000212231.

1322120003220 is a `hidden beast` number, since 1 + 322 + 1 + 20 + 0 + 0 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 385030178064 + 937089825156 = 620508^2 + 968034^2 .

It is a super-4 number, since 4×13221200032204 (a number of 50 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1322120003193 and 1322120003202.

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 23 ways as a sum of consecutive naturals, for example, 99251599 + ... + 99264918.

Almost surely, 21322120003220 is an apocalyptic number.

1322120003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322120003220 is an abundant number, since it is smaller than the sum of its proper divisors (2796700712244).

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

1322120003220 is a wasteful number, since it uses less digits than its factorization.

1322120003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198516569 (or 198516564 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1322120003220 its reverse (223000212231), we get a palindrome (1545120215451).

The spelling of 1322120003220 in words is "one trillion, three hundred twenty-two billion, one hundred twenty million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 198516517 397033034 595549551 794066068 992582585 1191099102 1786648653 1985165170 2382198204 2977747755 3573297306 3970330340 5955495510 7146594612 7345111129 8933243265 11910991020 14690222258 17866486530 22035333387 29380444516 35732973060 36725555645 44070666774 66106000161 73451111290 88141333548 110176666935 132212000322 146902222580 220353333870 264424000644 330530000805 440706667740 661060001610 1322120003220