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1322330011020 = 2232573100633943
BaseRepresentation
bin10011001111100001000…
…000101011010110001100
311200102011110012112201100
4103033201000223112030
5133131112440323040
62451245305143100
7164351366432334
oct23174100532614
94612143175640
101322330011020
1146a8848aaa57
1219433978aa90
1397906424205
14480030b20c4
15245e44deb30
hex133e102b58c

1322330011020 has 72 divisors (see below), whose sum is σ = 4066013873376. Its totient is φ = 347790903552.

The previous prime is 1322330011001. The next prime is 1322330011021. The reversal of 1322330011020 is 201100332231.

1322330011020 is a `hidden beast` number, since 1 + 322 + 330 + 0 + 1 + 10 + 2 + 0 = 666.

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 = 1322330010984 and 1322330011002.

It is not an unprimeable number, because it can be changed into a prime (1322330011021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50303832 + ... + 50330111.

It is an arithmetic number, because the mean of its divisors is an integer number (56472414908).

Almost surely, 21322330011020 is an apocalyptic number.

1322330011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322330011020 is an abundant number, since it is smaller than the sum of its proper divisors (2743683862356).

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

1322330011020 is a wasteful number, since it uses less digits than its factorization.

1322330011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100634031 (or 100634026 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1322330011020 its reverse (201100332231), we get a palindrome (1523430343251).

The spelling of 1322330011020 in words is "one trillion, three hundred twenty-two billion, three hundred thirty million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 100633943 201267886 301901829 402535772 503169715 603803658 905705487 1006339430 1207607316 1509509145 1811410974 2012678860 3019018290 3622821948 4528527435 6038036580 7346277839 9057054870 14692555678 18114109740 22038833517 29385111356 36731389195 44077667034 66116500551 73462778390 88155334068 110194167585 132233001102 146925556780 220388335170 264466002204 330582502755 440776670340 661165005510 1322330011020