Search a number
-
+
103333212112212 = 2234541589518793
BaseRepresentation
bin10111011111101100100011…
…011001101100010101010100
3111112212120002012221221110000
4113133230203121230111110
5102021002404300042322
61003434342230131300
730523402216465335
oct2737544331542524
9445776065857400
10103333212112212
112aa1a407389675
12b70a8037b0b30
134587384489444
141b734d5b1428c
15be2e022dd3ac
hex5dfb2366c554

103333212112212 has 60 divisors (see below), whose sum is σ = 270632750836756. Its totient is φ = 34380735949440.

The previous prime is 103333212112159. The next prime is 103333212112219. The reversal of 103333212112212 is 212211212333301.

103333212112212 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 332 + 1 + 2 + 112 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65857217640516 + 37475994471696 = 8115246^2 + 6121764^2 .

It is a super-3 number, since 3×1033332121122123 (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103333212112219) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 294584113 + ... + 294934680.

Almost surely, 2103333212112212 is an apocalyptic number.

103333212112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103333212112212 is an abundant number, since it is smaller than the sum of its proper divisors (167299538724544).

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

103333212112212 is a wasteful number, since it uses less digits than its factorization.

103333212112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589519350 (or 589519339 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 103333212112212 its reverse (212211212333301), we get a palindrome (315544424445513).

The spelling of 103333212112212 in words is "one hundred three trillion, three hundred thirty-three billion, two hundred twelve million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 541 1082 1623 2164 3246 4869 6492 9738 14607 19476 29214 43821 58428 87642 175284 589518793 1179037586 1768556379 2358075172 3537112758 5305669137 7074225516 10611338274 15917007411 21222676548 31834014822 47751022233 63668029644 95502044466 191004088932 318929667013 637859334026 956789001039 1275718668052 1913578002078 2870367003117 3827156004156 5740734006234 8611101009351 11481468012468 17222202018702 25833303028053 34444404037404 51666606056106 103333212112212