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1301102443300 = 22521137206915451
BaseRepresentation
bin10010111011101111101…
…111111011101100100100
311121101101001210101010111
4102323233233323230210
5132304124211141200
62433415044502404
7163000350201652
oct22735757735444
94541331711114
101301102443300
11461881456160
121901b46aaa04
139590262225a
1446d8bb61dd2
1523ca0ae00ba
hex12eefbfbb24

1301102443300 has 144 divisors (see below), whose sum is σ = 3165043049280. Its totient is φ = 460088640000.

The previous prime is 1301102443279. The next prime is 1301102443301. The reversal of 1301102443300 is 33442011031.

It is a super-2 number, since 2×13011024433002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1301102443301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84200575 + ... + 84216025.

It is an arithmetic number, because the mean of its divisors is an integer number (21979465620).

Almost surely, 21301102443300 is an apocalyptic number.

1301102443300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301102443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582521524640).

1301102443300 is an abundant number, since it is smaller than the sum of its proper divisors (1863940605980).

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

1301102443300 is a wasteful number, since it uses less digits than its factorization.

1301102443300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17582 (or 17575 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1301102443300 its reverse (33442011031), we get a palindrome (1334544454331).

The spelling of 1301102443300 in words is "one trillion, three hundred one billion, one hundred two million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 2069 3700 4070 4138 8140 8276 10175 10345 15451 20350 20690 22759 30902 40700 41380 45518 51725 61804 76553 77255 91036 103450 113795 153106 154510 169961 206900 227590 306212 309020 339922 382765 386275 455180 568975 571687 679844 765530 772550 842083 849805 1137950 1143374 1531060 1545100 1684166 1699610 1913825 2275900 2286748 2858435 3368332 3399220 3827650 4210415 4249025 5716870 6288557 7655300 8420830 8498050 11433740 12577114 14292175 16841660 16996100 21052075 25154228 28584350 31442785 31968119 42104150 57168700 62885570 63936238 84208300 125771140 127872476 157213925 159840595 314427850 319681190 351649309 628855700 639362380 703298618 799202975 1182820403 1406597236 1598405950 1758246545 2365640806 3196811900 3516493090 4731281612 5914102015 7032986180 8791232725 11828204030 13011024433 17582465450 23656408060 26022048866 29570510075 35164930900 52044097732 59141020150 65055122165 118282040300 130110244330 260220488660 325275610825 650551221650 1301102443300