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11429113122 = 2347791131129
BaseRepresentation
bin10101010010011101…
…00110110100100010
31002111111220002210000
422221032212310202
5141401323104442
65130033320430
7553136600340
oct125116466442
932444802700
1011429113122
114935488939
12226b706116
131101ac033b
147a5c92990
1546d5a3d4c
hex2a93a6d22

11429113122 has 160 divisors (see below), whose sum is σ = 29927462400. Its totient is φ = 3192763392.

The previous prime is 11429113117. The next prime is 11429113153. The reversal of 11429113122 is 22131192411.

11429113122 is a `hidden beast` number, since 1 + 1 + 429 + 113 + 122 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10122654 + ... + 10123782.

It is an arithmetic number, because the mean of its divisors is an integer number (187046640).

Almost surely, 211429113122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11429113122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14963731200).

11429113122 is an abundant number, since it is smaller than the sum of its proper divisors (18498349278).

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

11429113122 is a wasteful number, since it uses less digits than its factorization.

11429113122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1333 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The spelling of 11429113122 in words is "eleven billion, four hundred twenty-nine million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 81 113 126 158 162 189 226 237 339 378 474 553 567 678 711 791 1017 1106 1129 1134 1422 1582 1659 2034 2133 2258 2373 3051 3318 3387 4266 4746 4977 6102 6399 6774 7119 7903 8927 9153 9954 10161 12798 14238 14931 15806 17854 18306 20322 21357 23709 26781 29862 30483 42714 44793 47418 53562 60966 62489 64071 71127 80343 89191 89586 91449 124978 127577 128142 142254 160686 178382 182898 187467 213381 241029 255154 267573 374934 382731 426762 482058 535146 562401 624337 640143 723087 765462 802719 893039 1124802 1148193 1248674 1280286 1446174 1605438 1687203 1786078 1873011 2296386 2408157 2679117 3374406 3444579 3746022 4816314 5061609 5358234 5619033 6889158 7224471 8037351 10078583 10123218 10333737 11238066 14448942 16074702 16857099 20157166 20667474 24112053 30235749 33714198 48224106 50571297 60471498 70550081 72336159 90707247 101142594 141100162 144672318 181414494 211650243 272121741 423300486 544243482 634950729 816365223 1269901458 1632730446 1904852187 3809704374 5714556561 11429113122