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2120223431144 = 237132881254291
BaseRepresentation
bin11110110110100111001…
…010100001100111101000
321111200200000102221101002
4132312213022201213220
5234214204144244034
64302003414214132
7306116053544150
oct36664712414750
97450600387332
102120223431144
117481aa942045
122a2ab6654348
13124c22b1ab00
1474895757760
153a2428b9e7e
hex1eda72a19e8

2120223431144 has 96 divisors (see below), whose sum is σ = 4925310546240. Its totient is φ = 837814348800.

The previous prime is 2120223431141. The next prime is 2120223431173. The reversal of 2120223431144 is 4411343220212.

It is a super-2 number, since 2×21202234311442 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120223431141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8210639 + ... + 8464929.

It is an arithmetic number, because the mean of its divisors is an integer number (51305318190).

Almost surely, 22120223431144 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 2120223431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462655273120).

2120223431144 is an abundant number, since it is smaller than the sum of its proper divisors (2805087115096).

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

2120223431144 is a wasteful number, since it uses less digits than its factorization.

2120223431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255211 (or 255194 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2120223431144 its reverse (4411343220212), we get a palindrome (6531566651356).

The spelling of 2120223431144 in words is "two trillion, one hundred twenty billion, two hundred twenty-three million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 881 1183 1352 1762 2366 3524 4732 6167 7048 9464 11453 12334 22906 24668 45812 49336 80171 91624 148889 160342 254291 297778 320684 508582 595556 641368 1017164 1042223 1191112 1780037 2034328 2084446 3305783 3560074 4168892 6611566 7120148 8337784 13223132 14240296 23140481 26446264 42975179 46280962 85950358 92561924 171900716 185123848 224030371 300826253 343801432 448060742 601652506 896121484 1203305012 1568212597 1792242968 2406610024 2912394823 3136425194 5824789646 6272850388 11649579292 12545700776 20386763761 23299158584 37861132699 40773527522 75722265398 81547055044 151444530796 163094110088 265027928893 302889061592 530055857786 1060111715572 2120223431144