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1302223121331 = 3111011512779341
BaseRepresentation
bin10010111100110010100…
…010111110101110110011
311121111021011112201101020
4102330302202332232303
5132313423104340311
62434122200510523
7163040205616566
oct22746242765663
94544234481336
101302223121331
114622a7004150
12190467a7b443
1395a50862b52
14470569244dd
1523d191acc06
hex12f328bebb3

1302223121331 has 64 divisors (see below), whose sum is σ = 1932723182592. Its totient is φ = 773352000000.

The previous prime is 1302223121299. The next prime is 1302223121359. The reversal of 1302223121331 is 1331213222031.

It is not a de Polignac number, because 1302223121331 - 25 = 1302223121299 is a prime.

It is a super-2 number, since 2×13022231213312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1302223101331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139404721 + ... + 139414061.

It is an arithmetic number, because the mean of its divisors is an integer number (30198799728).

Almost surely, 21302223121331 is an apocalyptic number.

1302223121331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1302223121331 is a deficient number, since it is larger than the sum of its proper divisors (630500061261).

1302223121331 is a wasteful number, since it uses less digits than its factorization.

1302223121331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9884.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1302223121331 its reverse (1331213222031), we get a palindrome (2633436343362).

The spelling of 1302223121331 in words is "one trillion, three hundred two billion, two hundred twenty-three million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 33 101 151 277 303 453 831 1111 1661 3047 3333 4983 9141 9341 15251 27977 28023 41827 45753 83931 102751 125481 167761 307747 308253 460097 503283 923241 943441 1380291 1410491 2587457 2830323 4224527 4231473 7762371 10377851 12673581 15515401 28462027 31133553 46469797 46546203 85386081 139409391 142459591 261333157 390706007 427378773 783999471 1172118021 1567055501 2874664727 4297766077 4701166503 8623994181 12893298231 39461306707 118383920121 434074373777 1302223121331