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22311131121030 = 23531937110923087
BaseRepresentation
bin1010001001010101101110…
…00010111000010110000110
32220222220221002101220211210
411010222313002320112012
510411021144031333110
6115241331522512250
74461632425305243
oct504526702702606
986886832356753
1022311131121030
1171221089600a4
122604068805686
13c5ac137c014b
14571c162d25ca
1528a56c862520
hex144ab70b8586

22311131121030 has 128 divisors (see below), whose sum is σ = 55385311887360. Its totient is φ = 5746131256320.

The previous prime is 22311131121001. The next prime is 22311131121067. The reversal of 22311131121030 is 3012113111322.

It is a super-3 number, since 3×223111311210303 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22311131120988 and 22311131121006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966382147 + ... + 966405233.

It is an arithmetic number, because the mean of its divisors is an integer number (432697749120).

Almost surely, 222311131121030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22311131121030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27692655943680).

22311131121030 is an abundant number, since it is smaller than the sum of its proper divisors (33074180766330).

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

22311131121030 is a wasteful number, since it uses less digits than its factorization.

22311131121030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25174.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 22311131121030 its reverse (3012113111322), we get a palindrome (25323244232352).

The spelling of 22311131121030 in words is "twenty-two trillion, three hundred eleven billion, one hundred thirty-one million, one hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 937 1109 1874 2218 2811 3327 4685 5545 5622 6654 9370 11090 14055 16635 23087 28110 29047 33270 34379 46174 58094 68758 69261 87141 103137 115435 138522 145235 171895 174282 206274 230870 290470 343790 346305 435705 515685 692610 715697 871410 1031370 1039133 1431394 2078266 2147091 3117399 3578485 4294182 5195665 6234798 7156970 10391330 10735455 15586995 21470910 21632519 25603483 31173990 32213123 43265038 51206966 64426246 64897557 76810449 96639369 108162595 128017415 129795114 153620898 161065615 193278738 216325190 256034830 322131230 324487785 384052245 483196845 648975570 670608089 768104490 793707973 966393690 1341216178 1587415946 2011824267 2381123919 3353040445 3968539865 4023648534 4762247838 6706080890 7937079730 10059121335 11905619595 20118242670 23811239190 23990463571 47980927142 71971390713 119952317855 143942781426 239904635710 359856953565 719713907130 743704370701 1487408741402 2231113112103 3718521853505 4462226224206 7437043707010 11155565560515 22311131121030