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1303121133210 = 2351329193596987
BaseRepresentation
bin10010111101101000000…
…100100111111010011010
311121120120202022110002110
4102331220010213322122
5132322243002230320
62434351240213150
7163101361605201
oct22755004477232
94546522273073
101303121133210
114627179a8826
1219067876a1b6
1395b64911620
14470ddcc4238
1523d6ce455e0
hex12f68127e9a

1303121133210 has 128 divisors (see below), whose sum is σ = 3502265921280. Its totient is φ = 308102086656.

The previous prime is 1303121133203. The next prime is 1303121133217. The reversal of 1303121133210 is 123311213031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1303121133203) and next prime (1303121133217).

It is not an unprimeable number, because it can be changed into a prime (1303121133217) 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, 1884337 + ... + 2481323.

It is an arithmetic number, because the mean of its divisors is an integer number (27361452510).

Almost surely, 21303121133210 is an apocalyptic number.

1303121133210 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 1303121133210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751132960640).

1303121133210 is an abundant number, since it is smaller than the sum of its proper divisors (2199144788070).

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

1303121133210 is a wasteful number, since it uses less digits than its factorization.

1303121133210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597232.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1303121133210 its reverse (123311213031), we get a palindrome (1426432346241).

The spelling of 1303121133210 in words is "one trillion, three hundred three billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 193 195 290 377 386 390 435 579 754 870 965 1131 1158 1885 1930 2262 2509 2895 3770 5018 5597 5655 5790 7527 11194 11310 12545 15054 16791 25090 27985 33582 37635 55970 72761 75270 83955 145522 167910 218283 363805 436566 596987 727610 1091415 1193974 1790961 2182830 2984935 3581922 5969870 7760831 8954805 15521662 17312623 17909610 23282493 34625246 38804155 46564986 51937869 77608310 86563115 103875738 115218491 116412465 173126230 225064099 230436982 232824930 259689345 345655473 450128198 519378690 576092455 675192297 691310946 1125320495 1152184910 1350384594 1497840383 1728277365 2250640990 2995680766 3341336239 3375961485 3456554730 4493521149 6682672478 6751922970 7489201915 8987042298 10024008717 14978403830 16706681195 20048017434 22467605745 33413362390 43437371107 44935211490 50120043585 86874742214 100240087170 130312113321 217186855535 260624226642 434373711070 651560566605 1303121133210