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1330131000220 = 22511311657117703
BaseRepresentation
bin10011010110110001111…
…111000101101110011100
311201011022010010212010021
4103112301333011232130
5133243102014001340
62455015335321524
7165045612645151
oct23266177055634
94634263125107
101330131000220
11473118300670
121959562202a4
139857a668359
1448543174228
15248ee2c8e4a
hex135b1fc5b9c

1330131000220 has 96 divisors (see below), whose sum is σ = 3147431325696. Its totient is φ = 467794828800.

The previous prime is 1330131000199. The next prime is 1330131000227. The reversal of 1330131000220 is 220001310331.

It is a junction number, because it is equal to n+sod(n) for n = 1330131000194 and 1330131000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330131000227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11241889 + ... + 11359591.

It is an arithmetic number, because the mean of its divisors is an integer number (32785742976).

Almost surely, 21330131000220 is an apocalyptic number.

1330131000220 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 1330131000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573715662848).

1330131000220 is an abundant number, since it is smaller than the sum of its proper divisors (1817300325476).

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

1330131000220 is a wasteful number, since it uses less digits than its factorization.

1330131000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119411 (or 119409 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1330131000220 its reverse (220001310331), we get a palindrome (1550132310551).

The spelling of 1330131000220 in words is "one trillion, three hundred thirty billion, one hundred thirty-one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1657 1705 3314 3410 6628 6820 8285 16570 18227 33140 36454 51367 72908 91135 102734 117703 182270 205468 235406 256835 364540 470812 513670 565037 588515 1027340 1130074 1177030 1294733 2260148 2354060 2589466 2825185 3648793 5178932 5650370 6473665 7297586 11300740 12947330 14595172 18243965 25894660 36487930 40136723 72975860 80273446 160546892 195033871 200683615 390067742 401367230 780135484 802734460 975169355 1950338710 2145372581 3900677420 4290745162 6046050001 8581490324 10726862905 12092100002 21453725810 24184200004 30230250005 42907451620 60460500010 66506550011 120921000020 133013100022 266026200044 332532750055 665065500110 1330131000220