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10221221100012 = 22313178336747419
BaseRepresentation
bin1001010010111101000001…
…0000001011100111101100
31100012010202110202111212220
42110233100100023213230
52314431030100200022
633423321504555340
72103313246563456
oct224572020134754
940163673674786
1010221221100012
1132908829317aa
121190b36322b50
13591b1ab237c0
142749d17592d6
1512ad2643a85c
hex94bd040b9ec

10221221100012 has 48 divisors (see below), whose sum is σ = 25698499733760. Its totient is φ = 3143227146048.

The previous prime is 10221221100007. The next prime is 10221221100031. The reversal of 10221221100012 is 21000112212201.

It is a junction number, because it is equal to n+sod(n) for n = 10221221099964 and 10221221100000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18095562 + ... + 18651857.

It is an arithmetic number, because the mean of its divisors is an integer number (535385411120).

Almost surely, 210221221100012 is an apocalyptic number.

10221221100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221221100012 is an abundant number, since it is smaller than the sum of its proper divisors (15477278633748).

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

10221221100012 is a wasteful number, since it uses less digits than its factorization.

10221221100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36749222 (or 36749220 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221221100012 its reverse (21000112212201), we get a palindrome (31221333312213).

The spelling of 10221221100012 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1783 3566 5349 7132 10698 21396 23179 46358 69537 92716 139074 278148 36747419 73494838 110242257 146989676 220484514 440969028 477716447 955432894 1433149341 1910865788 2866298682 5732597364 65520648077 131041296154 196561944231 262082592308 393123888462 786247776924 851768425001 1703536850002 2555305275003 3407073700004 5110610550006 10221221100012