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1323122200020 = 22325371091822633
BaseRepresentation
bin10011010000010000001…
…110101000110111010100
311200111012122211220201200
4103100100032220313110
5133134223240400040
62451500044352500
7164410126064265
oct23202016506724
94614178756650
101323122200020
11470150a96305
1219451ab45730
1397a015a09ba
144807a3a696c
152463dd22630
hex134103a8dd4

1323122200020 has 144 divisors (see below), whose sum is σ = 4159761125520. Its totient is φ = 340146874368.

The previous prime is 1323122199991. The next prime is 1323122200039. The reversal of 1323122200020 is 200022213231.

1323122200020 is a `hidden beast` number, since 1 + 323 + 122 + 200 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 270914004036 + 1052208195984 = 520494^2 + 1025772^2 .

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 = 1323122199966 and 1323122200002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185377 + ... + 1637256.

Almost surely, 21323122200020 is an apocalyptic number.

1323122200020 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 1323122200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079880562760).

1323122200020 is an abundant number, since it is smaller than the sum of its proper divisors (2836638925500).

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

1323122200020 is a wasteful number, since it uses less digits than its factorization.

1323122200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822794 (or 1822789 counting only the distinct ones).

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

Adding to 1323122200020 its reverse (200022213231), we get a palindrome (1523144413251).

It can be divided in two parts, 132312 and 2200020, that added together give a palindrome (2332332).

The spelling of 1323122200020 in words is "one trillion, three hundred twenty-three billion, one hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 109 111 148 180 185 218 222 327 333 370 436 444 545 555 654 666 740 981 1090 1110 1308 1332 1635 1665 1962 2180 2220 3270 3330 3924 4033 4905 6540 6660 8066 9810 12099 16132 19620 20165 24198 36297 40330 48396 60495 72594 80660 120990 145188 181485 241980 362970 725940 1822633 3645266 5467899 7290532 9113165 10935798 16403697 18226330 21871596 27339495 32807394 36452660 54678990 65614788 67437421 82018485 109357980 134874842 164036970 198666997 202312263 269749684 328073940 337187105 397333994 404624526 596000991 606936789 674374210 794667988 809249052 993334985 1011561315 1192001982 1213873578 1348748420 1788002973 1986669970 2023122630 2384003964 2427747156 2980004955 3034683945 3576005946 3973339940 4046245260 5960009910 6069367890 7152011892 7350678889 8940014865 11920019820 12138735780 14701357778 17880029730 22052036667 29402715556 35760059460 36753394445 44104073334 66156110001 73506788890 88208146668 110260183335 132312220002 147013577780 220520366670 264624440004 330780550005 441040733340 661561100010 1323122200020