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100010221112 = 231953127239409
BaseRepresentation
bin101110100100100010…
…0101101111000111000
3100120010212212121222102
41131021010231320320
53114310104033422
6113535530042532
710140226565444
oct1351104557070
9316125777872
10100010221112
11394611873aa
1217471279448
13957a97ab39
144baa561824
1529050a8192
hex174912de38

100010221112 has 128 divisors (see below), whose sum is σ = 204042240000. Its totient is φ = 45808229376.

The previous prime is 100010221099. The next prime is 100010221121. The reversal of 100010221112 is 211122010001.

It is a super-2 number, since 2×1000102211122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100010221093 and 100010221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244523564 + ... + 244523972.

It is an arithmetic number, because the mean of its divisors is an integer number (1594080000).

Almost surely, 2100010221112 is an apocalyptic number.

It is an amenable number.

100010221112 is an abundant number, since it is smaller than the sum of its proper divisors (104032018888).

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

100010221112 is a wasteful number, since it uses less digits than its factorization.

100010221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010221112 its reverse (211122010001), we get a palindrome (311132231113).

The spelling of 100010221112 in words is "one hundred billion, ten million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 19 38 53 76 106 127 152 212 239 254 409 424 478 508 818 956 1007 1016 1636 1912 2014 2413 3272 4028 4541 4826 6731 7771 8056 9082 9652 12667 13462 15542 18164 19304 21677 25334 26924 30353 31084 36328 43354 50668 51943 53848 60706 62168 86708 97751 101336 103886 121412 127889 173416 195502 207772 240673 242824 255778 391004 411863 415544 481346 511556 576707 782008 823726 962692 986917 1023112 1153414 1608709 1647452 1857269 1925384 1973834 2306828 2752979 3217418 3294904 3714538 3947668 4613656 5180803 5505958 6434836 7429076 7895336 10361606 11011916 12414377 12869672 14858152 20723212 22023832 24828754 30565471 41446424 49657508 52306601 61130942 98435257 99315016 104613202 122261884 196870514 209226404 235873163 244523768 393741028 418452808 471746326 657961981 787482056 943492652 1315923962 1886985304 2631847924 5263695848 12501277639 25002555278 50005110556 100010221112