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106044026013 = 3319751275251
BaseRepresentation
bin110001011000010110…
…1110110110010011101
3101010201101112200021000
41202300231312302131
53214134232313023
6120414351300513
710442604230412
oct1426055666235
9333641480230
10106044026013
1140a780a7322
1218675b1a739
139ccca516b3
1451bda50109
152b59b6c243
hex18b0b76c9d

106044026013 has 32 divisors (see below), whose sum is σ = 165591603200. Its totient is φ = 66885750000.

The previous prime is 106044026003. The next prime is 106044026017. The reversal of 106044026013 is 310620440601.

106044026013 is a `hidden beast` number, since 1 + 0 + 604 + 40 + 2 + 6 + 0 + 13 = 666.

It is not a de Polignac number, because 106044026013 - 28 = 106044025757 is a prime.

It is a super-2 number, since 2×1060440260132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106044026017) 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, 247638 + ... + 522888.

It is an arithmetic number, because the mean of its divisors is an integer number (5174737600).

Almost surely, 2106044026013 is an apocalyptic number.

It is an amenable number.

106044026013 is a deficient number, since it is larger than the sum of its proper divisors (59547577187).

106044026013 is a wasteful number, since it uses less digits than its factorization.

106044026013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276030 (or 276024 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 106044026013 its reverse (310620440601), we get a palindrome (416664466614).

The spelling of 106044026013 in words is "one hundred six billion, forty-four million, twenty-six thousand, thirteen".

Divisors: 1 3 9 19 27 57 171 513 751 2253 6759 14269 20277 42807 128421 275251 385263 825753 2477259 5229769 7431777 15689307 47067921 141203763 206713501 620140503 1860421509 3927556519 5581264527 11782669557 35348008671 106044026013