Search a number
-
+
12101210103129 = 373722137037629
BaseRepresentation
bin1011000000011000100001…
…0101000101110101011001
31120211212100010202001110120
42300012020111011311121
53041231234241300004
641423115201503453
72356166160465330
oct260061025056531
946755303661416
1012101210103129
113946104697334
121435366941b89
1369a1a6b20284
142db9b763cd17
1515eba84de3d9
hexb0188545d59

12101210103129 has 32 divisors (see below), whose sum is σ = 18946876389120. Its totient is φ = 6725044714752.

The previous prime is 12101210103121. The next prime is 12101210103139. The reversal of 12101210103129 is 92130101210121.

It is not a de Polignac number, because 12101210103129 - 23 = 12101210103121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12101210103099 and 12101210103108.

It is not an unprimeable number, because it can be changed into a prime (12101210103121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799314 + ... + 5238315.

It is an arithmetic number, because the mean of its divisors is an integer number (592089887160).

Almost surely, 212101210103129 is an apocalyptic number.

It is an amenable number.

12101210103129 is a deficient number, since it is larger than the sum of its proper divisors (6845666285991).

12101210103129 is a wasteful number, since it uses less digits than its factorization.

12101210103129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7039889.

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 12101210103129 in words is "twelve trillion, one hundred one billion, two hundred ten million, one hundred three thousand, one hundred twenty-nine".

Divisors: 1 3 7 21 37 111 259 777 2213 6639 15491 46473 81881 245643 573167 1719501 7037629 21112887 49263403 147790209 260392273 781176819 1822745911 5468237733 15574272977 46722818931 109019910839 327059732517 576248100149 1728744300447 4033736701043 12101210103129