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112011212122002 = 237174335032033
BaseRepresentation
bin11001011101111110100100…
…100000100110011110010010
3112200121011111221222110000000
4121131332210200212132102
5104140142430300401002
61034121123535310430
732410354153503144
oct3135764440463622
9480534457873000
10112011212122002
1132765763131206
121069063437b416
134a667c569cb3b
141d9352b91ac94
15ce3a06bd061c
hex65dfa4826792

112011212122002 has 128 divisors (see below), whose sum is σ = 273014449931520. Its totient is φ = 34323544184832.

The previous prime is 112011212121931. The next prime is 112011212122003. The reversal of 112011212122002 is 200221212110211.

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

It is not an unprimeable number, because it can be changed into a prime (112011212122003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14318623 + ... + 20713410.

It is an arithmetic number, because the mean of its divisors is an integer number (2132925390090).

Almost surely, 2112011212122002 is an apocalyptic number.

112011212122002 is an abundant number, since it is smaller than the sum of its proper divisors (161003237809518).

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

112011212122002 is an equidigital number, since it uses as much as digits as its factorization.

112011212122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35032116 (or 35032098 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112011212122002 its reverse (200221212110211), we get a palindrome (312232424232213).

The spelling of 112011212122002 in words is "one hundred twelve trillion, eleven billion, two hundred twelve million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 81 86 102 129 153 162 243 258 306 387 459 486 729 731 774 918 1161 1377 1458 1462 2187 2193 2322 2754 3483 4131 4374 4386 6579 6966 8262 10449 12393 13158 19737 20898 24786 31347 37179 39474 59211 62694 74358 94041 118422 177633 188082 355266 532899 1065798 1598697 3197394 35032033 70064066 105096099 210192198 315288297 595544561 630576594 945864891 1191089122 1506377419 1786633683 1891729782 2837594673 3012754838 3573267366 4519132257 5359901049 5675189346 8512784019 9038264514 10719802098 13557396771 16079703147 17025568038 25538352057 25608416123 27114793542 32159406294 40672190313 48239109441 51076704114 51216832246 76615056171 76825248369 81344380626 96478218882 122016570939 144717328323 153230112342 153650496738 230475745107 244033141878 289434656646 366049712817 434151984969 460951490214 691427235321 732099425634 868303969938 1098149138451 1302455954907 1382854470642 2074281705963 2196298276902 2604911909814 3294447415353 4148563411926 6222845117889 6588894830706 12445690235778 18668535353667 37337070707334 56005606061001 112011212122002