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10100122212 = 22317372335743
BaseRepresentation
bin10010110100000001…
…11010001001100100
3222001220011100222110
421122000322021210
5131141112402322
64350120401020
7505201423305
oct113200721144
928056140873
1010100122212
11431328a344
121b5a616170
13c4c67479b
146bb5867ac
153e1a88c0c
hex25a03a264

10100122212 has 96 divisors (see below), whose sum is σ = 25742126592. Its totient is φ = 3069259776.

The previous prime is 10100122189. The next prime is 10100122237. The reversal of 10100122212 is 21222100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1755813 + ... + 1761555.

It is an arithmetic number, because the mean of its divisors is an integer number (268147152).

Almost surely, 210100122212 is an apocalyptic number.

10100122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12871063296).

10100122212 is an abundant number, since it is smaller than the sum of its proper divisors (15642004380).

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

10100122212 is a wasteful number, since it uses less digits than its factorization.

10100122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100122212 its reverse (21222100101), we get a palindrome (31322222313).

The spelling of 10100122212 in words is "ten billion, one hundred million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 233 444 466 629 699 932 1258 1398 1887 2516 2796 3774 3961 5743 7548 7922 8621 11486 11883 15844 17229 17242 22972 23766 25863 34458 34484 47532 51726 68916 97631 103452 146557 195262 212491 292893 293114 390524 424982 439671 585786 586228 637473 849964 879342 1171572 1274946 1338119 1758684 2549892 2676238 3612347 4014357 5352476 7224694 8028714 10837041 14449388 16057428 21674082 22748023 43348164 45496046 49510403 68244069 90992092 99020806 136488138 148531209 198041612 272976276 297062418 594124836 841676851 1683353702 2525030553 3366707404 5050061106 10100122212