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1330022323100 = 2252194347346369
BaseRepresentation
bin10011010110101011100…
…000100001001110011100
311201011000112122111010202
4103112223200201032130
5133242341203314400
62455000454123032
7165043123133222
oct23265340411634
94634015574122
101330022323100
11473071a22969
12195925950478
1398560ca7173
1448532964b12
15248e49ad4d5
hex135ab82139c

1330022323100 has 144 divisors (see below), whose sum is σ = 3174855129600. Its totient is φ = 481811742720.

The previous prime is 1330022323093. The next prime is 1330022323159. The reversal of 1330022323100 is 13232200331.

It is a super-2 number, since 2×13300223231002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3666716 + ... + 4013084.

Almost surely, 21330022323100 is an apocalyptic number.

1330022323100 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 1330022323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587427564800).

1330022323100 is an abundant number, since it is smaller than the sum of its proper divisors (1844832806500).

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

1330022323100 is a wasteful number, since it uses less digits than its factorization.

1330022323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346492 (or 346485 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1330022323100 its reverse (13232200331), we get a palindrome (1343254523431).

The spelling of 1330022323100 in words is "one trillion, three hundred thirty billion, twenty-two million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 47 50 76 86 94 95 100 172 188 190 215 235 380 430 470 475 817 860 893 940 950 1075 1175 1634 1786 1900 2021 2150 2350 3268 3572 4042 4085 4300 4465 4700 8084 8170 8930 10105 16340 17860 20210 20425 22325 38399 40420 40850 44650 50525 76798 81700 89300 101050 153596 191995 202100 346369 383990 692738 767980 959975 1385476 1731845 1919950 3463690 3839900 6581011 6927380 8659225 13162022 14893867 16279343 17318450 26324044 29787734 32558686 32905055 34636900 59575468 65117372 65810110 74469335 81396715 131620220 148938670 162793430 164525275 282983473 297877340 309307517 325586860 329050550 372346675 406983575 565966946 618615034 658101100 700011749 744693350 813967150 1131933892 1237230068 1400023498 1414917365 1489386700 1546537585 1627934300 2800046996 2829834730 3093075170 3500058745 5659669460 6186150340 7000117490 7074586825 7732687925 13300223231 14000234980 14149173650 15465375850 17500293725 26600446462 28298347300 30930751700 35000587450 53200892924 66501116155 70001174900 133002232310 266004464620 332505580775 665011161550 1330022323100