Search a number
-
+
10210022120122 = 211317310113714821
BaseRepresentation
bin1001010010010011010010…
…1111011101101010111010
31100011001211222220101112221
42110210310233131222322
52314240111130320442
633414230331554254
72102435603042356
oct224446457355272
940131758811487
1010210022120122
113287056348420
12118a92b8bb98a
13590a5490b296
1427424c290466
1512a8bd194467
hex94934bddaba

10210022120122 has 128 divisors (see below), whose sum is σ = 17785671469056. Its totient is φ = 4353523200000.

The previous prime is 10210022120117. The next prime is 10210022120147. The reversal of 10210022120122 is 22102122001201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10210022120096 and 10210022120105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688881472 + ... + 688896292.

It is an arithmetic number, because the mean of its divisors is an integer number (138950558352).

Almost surely, 210210022120122 is an apocalyptic number.

10210022120122 is a deficient number, since it is larger than the sum of its proper divisors (7575649348934).

10210022120122 is a wasteful number, since it uses less digits than its factorization.

10210022120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15176.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10210022120122 its reverse (22102122001201), we get a palindrome (32312144121323).

It can be divided in two parts, 102100 and 22120122, that added together give a palindrome (22222222).

The spelling of 10210022120122 in words is "ten trillion, two hundred ten billion, twenty-two million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 11 22 31 62 73 101 137 146 202 274 341 682 803 1111 1507 1606 2222 2263 3014 3131 4247 4526 6262 7373 8494 10001 13837 14746 14821 20002 24893 27674 29642 34441 46717 49786 68882 81103 93434 110011 152207 162206 163031 220022 228563 304414 310031 326062 428947 457126 459451 620062 857894 918902 1010101 1081933 1496921 2020202 2030477 2163866 2514193 2993842 3410341 4060954 4718417 5028386 5053961 6820682 9436834 10107922 11111111 11901263 16466131 22222222 22335247 23802526 31313131 32932262 33539923 44670494 46404551 62626262 62944787 67079846 92809102 109275233 125889574 148224821 205078177 218550466 296449642 344444441 368939153 410156354 510450061 688888882 692392657 737878306 1020900122 1202027563 1384785314 1630473031 2255859947 2404055126 3260946062 3387532223 4511719894 4594969451 6357423487 6775064446 9189938902 12714846974 14970706921 29941413842 37262854453 50544663961 69931658357 74525708906 101089327922 139863316714 164677776131 329355552262 464091914551 928183829102 5105011060061 10210022120122