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22311011430114 = 23113732292829473
BaseRepresentation
bin1010001001010101011111…
…11010010010111011100010
32220222220121202011222202220
411010222233322102323202
510411020422411230424
6115241312005251510
74461626443042161
oct504525772227342
986886552158686
1022311011430114
11712205733a590
122604034703b96
13c5abc4a73b14
14571c044573d8
1528a5620bd579
hex144aafe92ee2

22311011430114 has 64 divisors (see below), whose sum is σ = 50009707981440. Its totient is φ = 6576145643520.

The previous prime is 22311011430031. The next prime is 22311011430121. The reversal of 22311011430114 is 41103411011322.

It is a super-3 number, since 3×223110114301143 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6470482 + ... + 9299954.

It is an arithmetic number, because the mean of its divisors is an integer number (781401687210).

Almost surely, 222311011430114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22311011430114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25004853990720).

22311011430114 is an abundant number, since it is smaller than the sum of its proper divisors (27698696551326).

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

22311011430114 is a wasteful number, since it uses less digits than its factorization.

22311011430114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832755.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 22311011430114 its reverse (41103411011322), we get a palindrome (63414422441436).

The spelling of 22311011430114 in words is "twenty-two trillion, three hundred eleven billion, eleven million, four hundred thirty thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 3229 6458 9687 19374 35519 71038 106557 119473 213114 238946 358419 716838 1314203 2628406 2829473 3942609 5658946 7885218 8488419 16976838 31124203 62248406 93372609 104690501 186745218 209381002 314071503 628143006 1151595511 2303191022 3454786533 6909573066 9136368317 18272736634 27409104951 54818209902 100500051487 201000102974 301500154461 338045627729 603000308922 676091255458 1014136883187 2028273766374 3718501905019 7437003810038 11155505715057 22311011430114