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1320332332230 = 233515137678597
BaseRepresentation
bin10011001101101001111…
…100001000110011000110
311200020000020012221121000
4103031221330020303012
5133113020034112410
62450315144034130
7164251031436042
oct23155174106306
94606006187530
101320332332230
11469a4a1a934a
12193a80762946
13976785b0562
1447c93a5d022
1524528e39dc0
hex13369f08cc6

1320332332230 has 128 divisors (see below), whose sum is σ = 3545556572160. Its totient is φ = 349623388800.

The previous prime is 1320332332183. The next prime is 1320332332237. The reversal of 1320332332230 is 322332330231.

1320332332230 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 332 + 3 + 322 + 3 + 0 = 666.

It is a super-2 number, since 2×13203323322302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1320332332194 and 1320332332203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320332332237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153576292 + ... + 153584888.

It is an arithmetic number, because the mean of its divisors is an integer number (27699660720).

Almost surely, 21320332332230 is an apocalyptic number.

1320332332230 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 1320332332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772778286080).

1320332332230 is an abundant number, since it is smaller than the sum of its proper divisors (2225224239930).

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

1320332332230 is a wasteful number, since it uses less digits than its factorization.

1320332332230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12531 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 1320332332230 its reverse (322332330231), we get a palindrome (1642664662461).

The spelling of 1320332332230 in words is "one trillion, three hundred twenty billion, three hundred thirty-two million, three hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 151 270 302 453 755 906 1359 1510 2265 2718 3767 4077 4530 6795 7534 8154 8597 11301 13590 17194 18835 20385 22602 25791 33903 37670 40770 42985 51582 56505 67806 77373 85970 101709 113010 128955 154746 169515 203418 232119 257910 339030 386865 464238 508545 568817 773730 1017090 1137634 1160595 1298147 1706451 2321190 2596294 2844085 3412902 3894441 5119353 5688170 6490735 7788882 8532255 10238706 11683323 12981470 15358059 17064510 19472205 23366646 25596765 30716118 32384899 35049969 38944410 51193530 58416615 64769798 70099938 76790295 97154697 116833230 153580590 161924495 175249845 194309394 291464091 323848990 350499690 485773485 582928182 874392273 971546970 1457320455 1748784546 2914640910 4371961365 4890119749 8743922730 9780239498 14670359247 24450598745 29340718494 44011077741 48901197490 73351796235 88022155482 132033233223 146703592470 220055388705 264066466446 440110777410 660166166115 1320332332230