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221311121343130 = 257136831699209579
BaseRepresentation
bin110010010100100000000010…
…110001011100001010011010
31002000121010200120012210011201
4302110200002301130022122
5213001430134030440010
62102404531532144414
764421125620021040
oct6224400261341232
91060533616183151
10221311121343130
116457557947a245
12209a36b290810a
13966471a76ba50
143c91730486390
151a8bc243a823a
hexc94802c5c29a

221311121343130 has 128 divisors (see below), whose sum is σ = 491298441984000. Its totient is φ = 69897274216704.

The previous prime is 221311121343107. The next prime is 221311121343133. The reversal of 221311121343130 is 31343121113122.

It is a happy number.

It is a super-2 number, since 2×2213111213431302 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221311121343133) 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, 1055874681 + ... + 1056084259.

It is an arithmetic number, because the mean of its divisors is an integer number (3838269078000).

Almost surely, 2221311121343130 is an apocalyptic number.

221311121343130 is an abundant number, since it is smaller than the sum of its proper divisors (269987320640870).

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

221311121343130 is a wasteful number, since it uses less digits than its factorization.

221311121343130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211988.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 221311121343130 its reverse (31343121113122), we get a palindrome (252654242456252).

The spelling of 221311121343130 in words is "two hundred twenty-one trillion, three hundred eleven billion, one hundred twenty-one million, three hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 683 910 1366 1699 3398 3415 4781 6830 8495 8879 9562 11893 16990 17758 22087 23786 23905 44174 44395 47810 59465 62153 88790 110435 118930 124306 154609 209579 220870 309218 310765 419158 621530 773045 1047895 1160417 1467053 1546090 2095790 2320834 2724527 2934106 5449054 5802085 7335265 8122919 11604170 13622635 14670530 15085421 16245838 19071689 27245270 30170842 38143378 40614595 75427105 81229190 95358445 105597947 143142457 150854210 190716890 211195894 286284914 356074721 527989735 712149442 715712285 1001997199 1055979470 1431424570 1780373605 1860851941 2003994398 2492523047 3560747210 3721703882 4628971373 4985046094 5009985995 9257942746 9304259705 10019971990 12462615235 13025963587 18608519410 23144856865 24925230470 26051927174 32402799611 46289713730 64805599222 65129817935 130259635870 162013998055 243199034443 324027996110 486398068886 1215995172215 1702393241101 2431990344430 3161587447759 3404786482202 6323174895518 8511966205505 15807937238795 17023932411010 22131112134313 31615874477590 44262224268626 110655560671565 221311121343130