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2203030331106 = 2311679746311093
BaseRepresentation
bin100000000011101110110…
…101110001111011100010
321210121101222020022020220
4200003232311301323202
5242043301231043411
64404020321343510
7315110100562443
oct40035665617342
97717358208226
102203030331106
1177a333209660
122b6b66497b96
1312c98b627677
14788ad1d12ca
153c48c4d7b06
hex200eed71ee2

2203030331106 has 128 divisors (see below), whose sum is σ = 4939734675456. Its totient is φ = 649377146880.

The previous prime is 2203030331101. The next prime is 2203030331111. The reversal of 2203030331106 is 6011330303022.

It is a happy number.

2203030331106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2203030331101) and next prime (2203030331111).

It is not an unprimeable number, because it can be changed into a prime (2203030331101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198590896 + ... + 198601988.

It is an arithmetic number, because the mean of its divisors is an integer number (38591677152).

Almost surely, 22203030331106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2203030331106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469867337728).

2203030331106 is an abundant number, since it is smaller than the sum of its proper divisors (2736704344350).

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

2203030331106 is a wasteful number, since it uses less digits than its factorization.

2203030331106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736.

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

Adding to 2203030331106 its reverse (6011330303022), we get a palindrome (8214360634128).

The spelling of 2203030331106 in words is "two trillion, two hundred three billion, thirty million, three hundred thirty-one thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 67 97 134 194 201 291 402 463 582 737 926 1067 1389 1474 2134 2211 2778 3201 4422 5093 6402 6499 10186 11093 12998 15279 19497 22186 30558 31021 33279 38994 44911 62042 66558 71489 89822 93063 122023 134733 142978 186126 214467 244046 269466 341231 366069 428934 494021 682462 732138 743231 988042 1023693 1076021 1482063 1486462 2047386 2152042 2229693 2964126 3009037 3228063 4459386 5136059 6018074 6456126 8175541 9027111 10272118 11836231 15408177 16351082 18054222 23672462 24526623 30816354 33099407 35508693 49053246 56496649 66198814 71017386 72093407 99298221 112993298 144186814 169489947 198596442 216280221 338979894 344115953 432560442 498197723 688231906 793027477 996395446 1032347859 1494593169 1586054954 2064695718 2379082431 2989186338 3785275483 4758164862 5480174953 7570550966 10960349906 11355826449 16440524859 22711652898 32881049718 33379247441 66758494882 100137742323 200275484646 367171721851 734343443702 1101515165553 2203030331106