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12302270442 = 2347111951907
BaseRepresentation
bin10110111010100010…
…11011111111101010
31011202100220002110000
423131101123333222
5200143340123232
65352424203430
7613601400450
oct133521337752
934670802400
1012302270442
115243346960
122474009576
131210978b87
14849c229d0
154c007c27c
hex2dd45bfea

12302270442 has 160 divisors (see below), whose sum is σ = 36177799680. Its totient is φ = 3027157920.

The previous prime is 12302270399. The next prime is 12302270443. The reversal of 12302270442 is 24407220321.

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

It is not an unprimeable number, because it can be changed into a prime (12302270443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 211053 + ... + 262959.

It is an arithmetic number, because the mean of its divisors is an integer number (226111248).

Almost surely, 212302270442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302270442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18088899840).

12302270442 is an abundant number, since it is smaller than the sum of its proper divisors (23875529238).

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

12302270442 is a wasteful number, since it uses less digits than its factorization.

12302270442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51958 (or 51949 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 12302270442 its reverse (24407220321), we get a palindrome (36709490763).

The spelling of 12302270442 in words is "twelve billion, three hundred two million, two hundred seventy thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 27 33 38 42 54 57 63 66 77 81 99 114 126 133 154 162 171 189 198 209 231 266 297 342 378 399 418 462 513 567 594 627 693 798 891 1026 1134 1197 1254 1386 1463 1539 1782 1881 2079 2394 2926 3078 3591 3762 4158 4389 5643 6237 7182 8778 10773 11286 12474 13167 16929 21546 26334 33858 39501 51907 79002 103814 118503 155721 237006 311442 363349 467163 570977 726698 934326 986233 1090047 1141954 1401489 1712931 1972466 2180094 2802978 2958699 3270141 3425862 3996839 4204467 5138793 5917398 6540282 6903631 7993678 8408934 8876097 9810423 10277586 10848563 11990517 13807262 15416379 17752194 19620846 20710893 21697126 23981034 26628291 29431269 30832758 32545689 35971551 41421786 46249137 53256582 58862538 62132679 65091378 71943102 75939941 79884873 92498274 97637067 107914653 124265358 151879882 159769746 186398037 195274134 215829306 227819823 292911201 323743959 372796074 455639646 559194111 585822402 647487918 683459469 878733603 1118388222 1366918938 1757467206 2050378407 4100756814 6151135221 12302270442