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110120102001 = 327133711332159
BaseRepresentation
bin110011010001110101…
…0110110100001110001
3101112020110101210100100
41212203222312201301
53301011221231001
6122331035543013
710645610265030
oct1464352664161
9345213353310
10110120102001
1142779a21568
1219412bbaa69
13a4cc35b390
145489128717
152ce791d586
hex19a3ab6871

110120102001 has 96 divisors (see below), whose sum is σ = 202845726720. Its totient is φ = 56013576192.

The previous prime is 110120101997. The next prime is 110120102009. The reversal of 110120102001 is 100201021011.

It is a happy number.

It is not a de Polignac number, because 110120102001 - 22 = 110120101997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110120102009) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3408160 + ... + 3440318.

It is an arithmetic number, because the mean of its divisors is an integer number (2112976320).

Almost surely, 2110120102001 is an apocalyptic number.

It is an amenable number.

110120102001 is a deficient number, since it is larger than the sum of its proper divisors (92725624719).

110120102001 is a wasteful number, since it uses less digits than its factorization.

110120102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32335 (or 32332 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110120102001 its reverse (100201021011), we get a palindrome (210321123012).

The spelling of 110120102001 in words is "one hundred ten billion, one hundred twenty million, one hundred two thousand, one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 113 117 259 273 333 339 481 777 791 819 1017 1443 1469 2331 2373 3367 4181 4329 4407 7119 10101 10283 12543 13221 29267 30303 30849 32159 37629 54353 87801 92547 96477 163059 225113 263403 289431 380471 418067 489177 675339 1141413 1189883 1254201 2026017 2926469 3424239 3569649 3633967 3762603 8329181 8779407 10708947 10901901 15468479 24987543 25437769 26338221 32705703 46405437 47241571 74962629 76313307 108279353 134456779 139216311 141724713 228939921 324838059 330690997 403370337 425174139 941197453 974514177 992072991 1210111011 1747938127 2823592359 2976218973 5243814381 8470777077 12235566889 15731443143 36706700667 110120102001