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122230343004 = 223721121717973
BaseRepresentation
bin111000111010101111…
…1110000010101011100
3102200111102221202220220
41301311133300111130
54000311431434004
6132052444241340
711554660526100
oct1616537602534
9380442852826
10122230343004
1147923929900
121b832840250
13b6ac2b0b63
145cb7641900
1532a5bb7dd9
hex1c757f055c

122230343004 has 108 divisors (see below), whose sum is σ = 364670905032. Its totient is φ = 31748122560.

The previous prime is 122230343003. The next prime is 122230343029. The reversal of 122230343004 is 400343032221.

It is a super-3 number, since 3×1222303430043 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122230343003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 787839 + ... + 930134.

It is an arithmetic number, because the mean of its divisors is an integer number (3376582454).

Almost surely, 2122230343004 is an apocalyptic number.

122230343004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122230343004 is an abundant number, since it is smaller than the sum of its proper divisors (242440562028).

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

122230343004 is a wasteful number, since it uses less digits than its factorization.

122230343004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718016 (or 1717996 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 122230343004 its reverse (400343032221), we get a palindrome (522573375225).

The spelling of 122230343004 in words is "one hundred twenty-two billion, two hundred thirty million, three hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 294 308 363 462 484 539 588 726 847 924 1078 1452 1617 1694 2156 2541 3234 3388 5082 5929 6468 10164 11858 17787 23716 35574 71148 1717973 3435946 5153919 6871892 10307838 12025811 18897703 20615676 24051622 36077433 37795406 48103244 56693109 72154866 75590812 84180677 113386218 132283921 144309732 168361354 207874733 226772436 252542031 264567842 336722708 396851763 415749466 505084062 529135684 623624199 793703526 831498932 925987447 1010168124 1247248398 1455123131 1587407052 1851974894 2494496796 2777962341 2910246262 3703949788 4365369393 5555924682 5820492524 8730738786 10185861917 11111849364 17461477572 20371723834 30557585751 40743447668 61115171502 122230343004