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131022222001020 = 223257214855127211
BaseRepresentation
bin11101110010100111111101…
…000000000000001101111100
3122011220121020221001022212200
4131302213331000000031330
5114133132002313013040
61142354440003031500
736412020542305500
oct3562477500001574
9564817227038780
10131022222001020
1138825237639419
1212840b9906b590
13581545b69114c
14244d71ba54300
1510232c6b91630
hex7729fd00037c

131022222001020 has 108 divisors (see below), whose sum is σ = 462321269091864. Its totient is φ = 29947936455360.

The previous prime is 131022222000997. The next prime is 131022222001037. The reversal of 131022222001020 is 20100222220131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131022222000984 and 131022222001002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7427554786 + ... + 7427572425.

Almost surely, 2131022222001020 is an apocalyptic number.

131022222001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131022222001020 is an abundant number, since it is smaller than the sum of its proper divisors (331299047090844).

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

131022222001020 is a wasteful number, since it uses less digits than its factorization.

131022222001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14855127240 (or 14855127228 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 131022222001020 its reverse (20100222220131), we get a palindrome (151122444221151).

The spelling of 131022222001020 in words is "one hundred thirty-one trillion, twenty-two billion, two hundred twenty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 14855127211 29710254422 44565381633 59420508844 74275636055 89130763266 103985890477 133696144899 148551272110 178261526532 207971780954 222826908165 267392289798 297102544220 311957671431 415943561908 445653816330 519929452385 534784579596 623915342862 668480724495 727901233339 891307632660 935873014293 1039858904770 1247830685724 1336961448990 1455802466678 1559788357155 1871746028586 2079717809540 2183703700017 2673922897980 2911604933356 3119576714310 3639506166695 3743492057172 4367407400034 4679365071465 6239153428620 6551111100051 7279012333390 8734814800068 9358730142930 10918518500085 13102222200102 14558024666780 18717460285860 21837037000170 26204444400204 32755555500255 43674074000340 65511111000510 131022222001020