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100120210022 = 27192411034691
BaseRepresentation
bin101110100111110100…
…0010010101001100110
3100120102112211122101202
41131033220102221212
53120021233210042
6113554455322502
710143033513020
oct1351750225146
9316375748352
10100120210022
1139508280728
12174a2080432
1395976ab131
144bbadd3010
15290ea82632
hex174fa12a66

100120210022 has 96 divisors (see below), whose sum is σ = 187403134464. Its totient is φ = 39265430400.

The previous prime is 100120210019. The next prime is 100120210027. The reversal of 100120210022 is 220012021001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100120209985 and 100120210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120210027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21340697 + ... + 21345387.

It is an arithmetic number, because the mean of its divisors is an integer number (1952115984).

Almost surely, 2100120210022 is an apocalyptic number.

100120210022 is a deficient number, since it is larger than the sum of its proper divisors (87282924442).

100120210022 is a wasteful number, since it uses less digits than its factorization.

100120210022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100120210022 its reverse (220012021001), we get a palindrome (320132231023).

The spelling of 100120210022 in words is "one hundred billion, one hundred twenty million, two hundred ten thousand, twenty-two".

Divisors: 1 2 7 14 19 38 41 82 103 133 206 266 287 361 574 721 722 779 1442 1558 1957 2527 3914 4223 4691 5054 5453 8446 9382 10906 13699 14801 27398 29561 29602 32837 37183 59122 65674 74366 80237 89129 103607 160474 178258 192331 207214 260281 384662 483173 520562 561659 623903 966346 1123318 1247806 1346317 1524503 1693451 2692634 3049006 3382211 3386902 3654289 6764422 7308578 9180287 10671521 11854157 18360574 19810093 21343042 23708314 25580023 39620186 51160046 64262009 69431491 128524018 138670651 138862982 174425453 277341302 348850906 376391767 486020437 752783534 972040874 1220978171 2441956342 2634742369 5269484738 7151443573 14302887146 50060105011 100120210022