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1330222020330 = 23574181102031
BaseRepresentation
bin10011010110110111011…
…010010011011011101010
311201011112110102011020110
4103112313122103123222
5133243243314122310
62455032350235150
7165051066420000
oct23266732233352
94634473364213
101330222020330
114731647193a5
121959807b5ab6
13985934866c8
14485512a8a70
15249072a7d20
hex135b76936ea

1330222020330 has 160 divisors (see below), whose sum is σ = 3745013545728. Its totient is φ = 302367945600.

The previous prime is 1330222020313. The next prime is 1330222020461. The reversal of 1330222020330 is 330202220331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1330222020297 and 1330222020306.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12986415 + ... + 13088445.

Almost surely, 21330222020330 is an apocalyptic number.

1330222020330 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 1330222020330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872506772864).

1330222020330 is an abundant number, since it is smaller than the sum of its proper divisors (2414791525398).

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

1330222020330 is a wasteful number, since it uses less digits than its factorization.

1330222020330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102250 (or 102229 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 1330222020330 its reverse (330202220331), we get a palindrome (1660424240661).

The spelling of 1330222020330 in words is "one trillion, three hundred thirty billion, two hundred twenty-two million, twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 181 210 245 294 343 362 490 543 686 735 905 1029 1086 1267 1470 1715 1810 2058 2401 2534 2715 3430 3801 4802 5145 5430 6335 7203 7602 8869 10290 12005 12670 14406 17738 19005 24010 26607 36015 38010 44345 53214 62083 72030 88690 102031 124166 133035 186249 204062 266070 306093 310415 372498 434581 510155 612186 620830 714217 869162 931245 1020310 1303743 1428434 1530465 1862490 2142651 2172905 2607486 3060930 3571085 4285302 4345810 4999519 6518715 7142170 9999038 10713255 13037430 14998557 18467611 21426510 24997595 29997114 34996633 36935222 49995190 55402833 69993266 74992785 92338055 104989899 110805666 129273277 149985570 174983165 184676110 209979798 244976431 258546554 277014165 349966330 387819831 489952862 524949495 554028330 646366385 734929293 775639662 904912939 1049898990 1224882155 1292732770 1469858586 1809825878 1939099155 2449764310 2714738817 3674646465 3878198310 4524564695 5429477634 6334390573 7349292930 9049129390 12668781146 13573694085 19003171719 27147388170 31671952865 38006343438 44340734011 63343905730 88681468022 95015858595 133022202033 190031717190 221703670055 266044404066 443407340110 665111010165 1330222020330