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1004022242212 = 2211292376531123
BaseRepresentation
bin11101001110001000110…
…00111001101110100100
310112222120000222111111211
432213010120321232210
5112422214143222322
62045124053041204
7132352415150503
oct16470430715644
93488500874454
101004022242212
11357892421010
12142705026204
13738a96a7112
143684870a83a
151b1b4931b77
hexe9c4639ba4

1004022242212 has 144 divisors (see below), whose sum is σ = 2043737422272. Its totient is φ = 427689884160.

The previous prime is 1004022242189. The next prime is 1004022242227. The reversal of 1004022242212 is 2122422204001.

1004022242212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894053083 + ... + 894054205.

It is an arithmetic number, because the mean of its divisors is an integer number (14192620988).

Almost surely, 21004022242212 is an apocalyptic number.

It is an amenable number.

1004022242212 is an abundant number, since it is smaller than the sum of its proper divisors (1039715180060).

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

1004022242212 is a wasteful number, since it uses less digits than its factorization.

1004022242212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 1004022242212 its reverse (2122422204001), we get a palindrome (3126444446213).

The spelling of 1004022242212 in words is "one trillion, four billion, twenty-two million, two hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 4 11 22 29 37 44 58 74 116 148 319 407 638 653 814 841 1073 1123 1276 1306 1628 1682 2146 2246 2612 3364 4292 4492 7183 9251 11803 12353 14366 18502 18937 23606 24161 24706 28732 31117 32567 37004 37874 41551 47212 48322 49412 62234 65134 75748 83102 96644 124468 130268 166204 208307 265771 342287 358237 416614 457061 531542 549173 684574 700669 716474 733319 833228 914122 944443 1063084 1098346 1204979 1369148 1401338 1432948 1466638 1828244 1888886 2196692 2409958 2802676 2933276 3777772 4819916 6040903 7707359 8066509 10388873 12081806 13254769 15414718 16133018 20319401 20777746 21266251 24163612 26509538 27132803 30829436 32266036 34944391 40638802 41555492 42532502 53019076 54265606 69888782 81277604 85065004 108531212 139777564 223513411 233928761 298460833 384388301 447026822 467857522 596921666 616721279 768776602 786851287 894053644 935715044 1193843332 1233442558 1537553204 1573702574 2466885116 3147405148 6783934069 8655364157 13567868138 17310728314 22818687323 27135736276 34621456628 45637374646 91274749292 251005560553 502011121106 1004022242212