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1421322105220 = 22517103227178793
BaseRepresentation
bin10100101011101101011…
…001100011000110000100
312000212200101021222010121
4110223231121203012010
5141241331424331340
63004540225231324
7204454454362063
oct24535531430604
95025611258117
101421322105220
114a8863302556
121ab565a92544
13a4051189194
144cb143281da
1526e89ed594a
hex14aed663184

1421322105220 has 96 divisors (see below), whose sum is σ = 3205109875968. Its totient is φ = 527553687552.

The previous prime is 1421322105211. The next prime is 1421322105257. The reversal of 1421322105220 is 225012231241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7860144 + ... + 8038936.

It is an arithmetic number, because the mean of its divisors is an integer number (33386561208).

Almost surely, 21421322105220 is an apocalyptic number.

1421322105220 is a gapful number since it is divisible by the number (10) 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 1421322105220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602554937984).

1421322105220 is an abundant number, since it is smaller than the sum of its proper divisors (1783787770748).

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

1421322105220 is a wasteful number, since it uses less digits than its factorization.

1421322105220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179149 (or 179147 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1421322105220 its reverse (225012231241), we get a palindrome (1646334336461).

The spelling of 1421322105220 in words is "one trillion, four hundred twenty-one billion, three hundred twenty-two million, one hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 227 340 412 454 515 908 1030 1135 1751 2060 2270 3502 3859 4540 7004 7718 8755 15436 17510 19295 23381 35020 38590 46762 77180 93524 116905 178793 233810 357586 397477 467620 715172 794954 893965 1589908 1787930 1987385 3039481 3575860 3974770 6078962 7949540 12157924 15197405 18415679 30394810 36831358 40586011 60789620 73662716 81172022 92078395 162344044 184156790 202930055 313066543 368313580 405860110 626133086 689962187 811720220 1252266172 1379924374 1565332715 2759848748 3130665430 3449810935 4180359133 6261330860 6899621870 8360718266 13799243740 16721436532 20901795665 41803591330 71066105261 83607182660 142132210522 284264421044 355330526305 710661052610 1421322105220