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2103331122 = 232192477197
BaseRepresentation
bin111110101011110…
…0100100100110010
312102120210021212200
41331113210210302
513301423043442
6544413404030
7103060006464
oct17527444462
95376707780
102103331122
1198a303892
124a8499616
132769b6139
1415d4b6134
15c49c434c
hex7d5e4932

2103331122 has 144 divisors (see below), whose sum is σ = 5032564992. Its totient is φ = 634314240.

The previous prime is 2103331049. The next prime is 2103331123. The reversal of 2103331122 is 2211333012.

2103331122 is a `hidden beast` number, since 210 + 3 + 331 + 122 = 666.

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 = 2103331095 and 2103331104.

It is not an unprimeable number, because it can be changed into a prime (2103331123) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 21683778 + ... + 21683874.

It is an arithmetic number, because the mean of its divisors is an integer number (34948368).

Almost surely, 22103331122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103331122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516282496).

2103331122 is an abundant number, since it is smaller than the sum of its proper divisors (2929233870).

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

2103331122 is a wasteful number, since it uses less digits than its factorization.

2103331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

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

The square root of 2103331122 is about 45862.0880684689. The cubic root of 2103331122 is about 1281.2559129071.

Adding to 2103331122 its reverse (2211333012), we get a palindrome (4314664134).

The spelling of 2103331122 in words is "two billion, one hundred three million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 47 57 71 94 97 114 141 142 171 194 213 282 291 342 361 423 426 582 639 722 846 873 893 1083 1278 1349 1746 1786 1843 2166 2679 2698 3249 3337 3686 4047 4559 5358 5529 6498 6674 6887 8037 8094 9118 10011 11058 12141 13677 13774 16074 16587 16967 20022 20661 24282 25631 27354 30033 33174 33934 35017 41031 41322 50901 51262 60066 61983 63403 70034 76893 82062 86621 101802 105051 123966 126806 130853 152703 153786 173242 190209 210102 230679 259863 261706 305406 315153 323689 380418 392559 461358 519726 570627 630306 647378 779589 785118 971067 1141254 1177677 1204657 1559178 1645799 1942134 2355354 2409314 2486207 2913201 3291598 3613971 4937397 4972414 5826402 6150091 7227942 7458621 9874794 10841913 12300182 14812191 14917242 18450273 21683826 22375863 29624382 36900546 44751726 55350819 110701638 116851729 233703458 350555187 701110374 1051665561 2103331122