Search a number
-
+
103133133222 = 23753616171231
BaseRepresentation
bin110000000001100110…
…1101011100110100110
3100212012112012000000220
41200003031223212212
53142204040230342
6115213444545210
710310510111460
oct1400315534646
9325175160026
10103133133222
113a813a684a9
1217ba30b2206
139957968922
144dc5201130
152a3932a5ec
hex180336b9a6

103133133222 has 128 divisors (see below), whose sum is σ = 244712337408. Its totient is φ = 28367539200.

The previous prime is 103133133199. The next prime is 103133133239. The reversal of 103133133222 is 222331331301.

It is a junction number, because it is equal to n+sod(n) for n = 103133133192 and 103133133201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83779347 + ... + 83780577.

It is an arithmetic number, because the mean of its divisors is an integer number (1911815136).

Almost surely, 2103133133222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103133133222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122356168704).

103133133222 is an abundant number, since it is smaller than the sum of its proper divisors (141579204186).

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

103133133222 is a wasteful number, since it uses less digits than its factorization.

103133133222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103133133222 its reverse (222331331301), we get a palindrome (325464464523).

The spelling of 103133133222 in words is "one hundred three billion, one hundred thirty-three million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 53 61 106 122 159 183 318 366 371 427 617 742 854 1113 1231 1234 1281 1851 2226 2462 2562 3233 3693 3702 4319 6466 7386 8617 8638 9699 12957 17234 19398 22631 25851 25914 32701 37637 45262 51702 65243 65402 67893 75091 75274 98103 112911 130486 135786 150182 195729 196206 225273 225822 228907 263459 391458 450546 456701 457814 525637 526918 686721 759527 790377 913402 1051274 1370103 1373442 1519054 1576911 1580754 1994761 2278581 2740206 3153822 3979823 3989522 4557162 5316689 5984283 7959646 10633378 11939469 11968566 13963327 15950067 23878938 27858761 27926654 31900134 40254931 41889981 46331147 55717522 80509862 83576283 83779962 92662294 120764793 138993441 167152566 241529586 277986882 281784517 324318029 563569034 648636058 845353551 972954087 1690707102 1945908174 2455550791 4911101582 7366652373 14733304746 17188855537 34377711074 51566566611 103133133222