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13212212242242 = 2313172761770191
BaseRepresentation
bin1100000001000011010100…
…1101111010011101000010
31201210002000210021101202010
43000100311031322131002
53212432102313222432
644033335001233350
72532356636035236
oct300206515723502
951702023241663
1013212212242242
1142342a4407282
121594747192856
1374aba20c1720
1433968ddb25c6
1517da2ed033cc
hexc043537a742

13212212242242 has 96 divisors (see below), whose sum is σ = 30269248015104. Its totient is φ = 3821128243200.

The previous prime is 13212212242211. The next prime is 13212212242249. The reversal of 13212212242242 is 24224221221231.

It is a super-3 number, since 3×132122122422423 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13212212242249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16769367 + ... + 17539557.

It is an arithmetic number, because the mean of its divisors is an integer number (315304666824).

Almost surely, 213212212242242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212212242242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134624007552).

13212212242242 is an abundant number, since it is smaller than the sum of its proper divisors (17057035772862).

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

13212212242242 is a wasteful number, since it uses less digits than its factorization.

13212212242242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771004 (or 770987 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 13212212242242 its reverse (24224221221231), we get a palindrome (37436433463473).

The spelling of 13212212242242 in words is "thirteen trillion, two hundred twelve billion, two hundred twelve million, two hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 289 442 578 663 761 867 1326 1522 1734 2283 3757 4566 7514 9893 11271 12937 19786 22542 25874 29679 38811 59358 77622 168181 219929 336362 439858 504543 659787 770191 1009086 1319574 1540382 2310573 2859077 4621146 5718154 8577231 10012483 13093247 17154462 20024966 26186494 30037449 39279741 60074898 78559482 170212211 222585199 340424422 445170398 510636633 586115351 667755597 1021273266 1172230702 1335511194 1758346053 2893607587 3516692106 5787215174 7619499563 8680822761 9963960967 15238999126 17361645522 19927921934 22858498689 29891882901 45716997378 59783765802 129531492571 169387336439 259062985142 338774672878 388594477713 508162009317 777188955426 1016324018634 2202035373707 4404070747414 6606106121121 13212212242242