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121310331144 = 233171815692887
BaseRepresentation
bin111000011111010101…
…0001100000100001000
3102121010022210022220120
41300332222030010020
53441420421044034
6131421301223240
711523116541552
oct1607652140410
9377108708816
10121310331144
11474a1579322
121b616701b20
13b5937cb842
145c2b3964d2
153250036c49
hex1c3ea8c108

121310331144 has 128 divisors (see below), whose sum is σ = 323569209600. Its totient is φ = 37768273920.

The previous prime is 121310331101. The next prime is 121310331173. The reversal of 121310331144 is 441133013121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42018069 + ... + 42020955.

It is an arithmetic number, because the mean of its divisors is an integer number (2527884450).

Almost surely, 2121310331144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121310331144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161784604800).

121310331144 is an abundant number, since it is smaller than the sum of its proper divisors (202258878456).

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

121310331144 is a wasteful number, since it uses less digits than its factorization.

121310331144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 121310331144 its reverse (441133013121), we get a palindrome (562443344265).

The spelling of 121310331144 in words is "one hundred twenty-one billion, three hundred ten million, three hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 181 204 362 408 543 569 724 1086 1138 1448 1707 2172 2276 2887 3077 3414 4344 4552 5774 6154 6828 8661 9231 9673 11548 12308 13656 17322 18462 19346 23096 24616 29019 34644 36924 38692 49079 58038 69288 73848 77384 98158 102989 116076 147237 196316 205978 232152 294474 308967 392632 411956 522547 588948 617934 823912 1045094 1177896 1235868 1567641 1642703 1750813 2090188 2471736 3135282 3285406 3501626 4180376 4928109 5252439 6270564 6570812 7003252 8883299 9856218 10504878 12541128 13141624 14006504 17766598 19712436 21009756 26649897 27925951 35533196 39424872 42019512 53299794 55851902 71066392 83777853 106599588 111703804 167555706 213199176 223407608 297329243 335111412 594658486 670222824 891987729 1189316972 1783975458 2378633944 3567950916 5054597131 7135901832 10109194262 15163791393 20218388524 30327582786 40436777048 60655165572 121310331144