Search a number
-
+
13100032123020 = 22325555713096627
BaseRepresentation
bin1011111010100001011011…
…0000101110000010001100
31201101100110202120220000200
42332220112300232002030
53204112331210414040
643510023252053500
72521306002540123
oct276502660560214
951340422526020
1013100032123020
1141a0768686347
121576a5a304290
1374043503425b
1433408b448aba
1517ab66619630
hexbea16c2e08c

13100032123020 has 72 divisors (see below), whose sum is σ = 39743917899504. Its totient is φ = 3492712994688.

The previous prime is 13100032122973. The next prime is 13100032123021. The reversal of 13100032123020 is 2032123000131.

13100032123020 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 321 + 2 + 30 + 2 + 0 = 666.

It is a super-3 number, since 3×131000321230203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 13100032122984 and 13100032123002.

It is not an unprimeable number, because it can be changed into a prime (13100032123021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5548054 + ... + 7548573.

Almost surely, 213100032123020 is an apocalyptic number.

13100032123020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100032123020 is an abundant number, since it is smaller than the sum of its proper divisors (26643885776484).

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

13100032123020 is a wasteful number, since it uses less digits than its factorization.

13100032123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13102199 (or 13102194 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13100032123020 its reverse (2032123000131), we get a palindrome (15132155123151).

The spelling of 13100032123020 in words is "thirteen trillion, one hundred billion, thirty-two million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5557 11114 16671 22228 27785 33342 50013 55570 66684 83355 100026 111140 166710 200052 250065 333420 500130 1000260 13096627 26193254 39289881 52386508 65483135 78579762 117869643 130966270 157159524 196449405 235739286 261932540 392898810 471478572 589348215 785797620 1178696430 2357392860 72777956239 145555912478 218333868717 291111824956 363889781195 436667737434 655001606151 727779562390 873335474868 1091669343585 1310003212302 1455559124780 2183338687170 2620006424604 3275008030755 4366677374340 6550016061510 13100032123020