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10221221010104 = 23131723512459053
BaseRepresentation
bin1001010010111101000000…
…1111110101101010111000
31100012010202110120221112222
42110233100033311222320
52314431030034310404
633423321503023212
72103313246040366
oct224572017655270
940163673527488
1010221221010104
1132908828801a5
121190b3629ab08
13591b1aac18c0
142749d1734636
1512ad2641ddbe
hex94bd03f5ab8

10221221010104 has 64 divisors (see below), whose sum is σ = 21862367130240. Its totient is φ = 4438097049600.

The previous prime is 10221221010101. The next prime is 10221221010131. The reversal of 10221221010104 is 40101012212201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221221010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2927042 + ... + 5386094.

It is an arithmetic number, because the mean of its divisors is an integer number (341599486410).

Almost surely, 210221221010104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221221010104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10931183565120).

10221221010104 is an abundant number, since it is smaller than the sum of its proper divisors (11641146120136).

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

10221221010104 is a wasteful number, since it uses less digits than its factorization.

10221221010104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461440 (or 2461436 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10221221010104 its reverse (40101012212201), we get a palindrome (50322233222305).

The spelling of 10221221010104 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, ten thousand, one hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 2351 4702 9404 18808 30563 39967 61126 79934 122252 159868 244504 319736 519571 1039142 2078284 2459053 4156568 4918106 9836212 19672424 31967689 41803901 63935378 83607802 127870756 167215604 255741512 334431208 543450713 1086901426 2173802852 4347605704 5781233603 11562467206 23124934412 46249868824 75156036839 98280971251 150312073678 196561942502 300624147356 393123885004 601248294712 786247770008 1277652626263 2555305252526 5110610505052 10221221010104