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10122214410 = 2345711162293
BaseRepresentation
bin10010110110101010…
…01011110000001010
3222010102201202210000
421123111023300022
5131212241330120
64352230103430
7505560255120
oct113325136012
928112652700
1010122214410
1143247a9560
121b65aaab76
13c5410b2a9
146c0497910
153e399e990
hex25b54bc0a

10122214410 has 160 divisors (see below), whose sum is σ = 33933727872. Its totient is φ = 2103304320.

The previous prime is 10122214397. The next prime is 10122214429. The reversal of 10122214410 is 1441222101.

10122214410 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 221 + 441 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 18777 + ... + 143516.

Almost surely, 210122214410 is an apocalyptic number.

10122214410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122214410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16966863936).

10122214410 is an abundant number, since it is smaller than the sum of its proper divisors (23811513462).

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

10122214410 is a wasteful number, since it uses less digits than its factorization.

10122214410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162330 (or 162321 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10122214410 its reverse (1441222101), we get a palindrome (11563436511).

The spelling of 10122214410 in words is "ten billion, one hundred twenty-two million, two hundred fourteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 81 90 99 105 110 126 135 154 162 165 189 198 210 231 270 297 315 330 378 385 405 462 495 567 594 630 693 770 810 891 945 990 1134 1155 1386 1485 1782 1890 2079 2310 2835 2970 3465 4158 4455 5670 6237 6930 8910 10395 12474 20790 31185 62370 162293 324586 486879 811465 973758 1136051 1460637 1622930 1785223 2272102 2434395 2921274 3408153 3570446 4381911 4868790 5355669 5680255 6816306 7303185 8763822 8926115 10224459 10711338 11360510 12496561 13145733 14606370 16067007 17040765 17852230 20448918 21909555 24993122 26291466 26778345 30673377 32134014 34081530 37489683 43819110 48201021 51122295 53556690 61346754 62482805 65728665 74979366 80335035 92020131 96402042 102244590 112469049 124965610 131457330 144603063 153366885 160670070 184040262 187448415 224938098 241005105 289206126 306733770 337407147 374896830 460100655 482010210 562345245 674814294 723015315 920201310 1012221441 1124690490 1446030630 1687035735 2024442882 3374071470 5061107205 10122214410