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110021012121020 = 225721113785079293
BaseRepresentation
bin11001000001000001000011…
…010110000110010110111100
3112102112220110111120010101112
4121001001003112012112330
5103410041013100333040
61025554542154301152
732113520146556600
oct3101010326062674
9472486414503345
10110021012121020
1132068716111770
121040a9864277b8
134950c2456b370
141d2508c80b500
15cabd74256365
hex6410435865bc

110021012121020 has 144 divisors (see below), whose sum is σ = 315752611412448. Its totient is φ = 31654397053440.

The previous prime is 110021012121019. The next prime is 110021012121047. The reversal of 110021012121020 is 20121210120011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 110021012120986 and 110021012121004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392399507 + ... + 392679786.

It is an arithmetic number, because the mean of its divisors is an integer number (2192726468142).

Almost surely, 2110021012121020 is an apocalyptic number.

110021012121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110021012121020 is an abundant number, since it is smaller than the sum of its proper divisors (205731599291428).

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

110021012121020 is a wasteful number, since it uses less digits than its factorization.

110021012121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785079340 (or 785079331 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110021012121020 its reverse (20121210120011), we get a palindrome (130142222241031).

The spelling of 110021012121020 in words is "one hundred ten trillion, twenty-one billion, twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 140140 785079293 1570158586 3140317172 3925396465 5495555051 7850792930 8635872223 10206030809 10991110102 15701585860 17271744446 20412061618 21982220204 27477775255 34543488892 38468885357 40824123236 43179361115 51030154045 54955550510 60451105561 71442215663 76937770714 86358722230 102060308090 109911101020 112266338899 120902211122 142884431326 153875541428 172717444460 192344426785 204120616180 224532677798 241804422244 285768862652 302255527805 357211078315 384688853570 423157738927 449065355596 500095509641 561331694495 604511055610 714422156630 769377707140 785864372293 846315477854 1000191019282 1122663388990 1209022111220 1428844313260 1571728744586 1692630955708 2000382038564 2115788694635 2245326777980 2500477548205 3143457489172 3929321861465 4231577389270 5000955096410 5501050606051 7858643722930 8463154778540 10001910192820 11002101212102 15717287445860 22004202424204 27505253030255 55010506060510 110021012121020