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2033122022022 = 2371319930616113
BaseRepresentation
bin11101100101011111100…
…001000001001010000110
321012100211202202220102110
4131211133201001022012
5231302313214201042
64154000420521450
7266613442021650
oct35453741011206
97170752686373
102033122022022
11714273418203
1228a048550286
13119951695080
14705917c56d0
1537d45c5009c
hex1d95f841286

2033122022022 has 128 divisors (see below), whose sum is σ = 5032223078400. Its totient is φ = 533251952640.

The previous prime is 2033122022011. The next prime is 2033122022023. The reversal of 2033122022022 is 2202202213302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2033122022022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033122022023) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 332586838 + ... + 332592950.

It is an arithmetic number, because the mean of its divisors is an integer number (39314242800).

Almost surely, 22033122022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033122022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516111539200).

2033122022022 is an abundant number, since it is smaller than the sum of its proper divisors (2999101056378).

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

2033122022022 is a wasteful number, since it uses less digits than its factorization.

2033122022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2033122022022 its reverse (2202202213302), we get a palindrome (4235324235324).

The spelling of 2033122022022 in words is "two trillion, thirty-three billion, one hundred twenty-two million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 199 273 398 546 597 1194 1393 2587 2786 3061 4179 5174 6113 6122 7761 8358 9183 12226 15522 18109 18339 18366 21427 36218 36678 39793 42791 42854 54327 64281 79469 79586 85582 108654 119379 128373 128562 158938 238407 238758 256746 278551 476814 556283 557102 609139 835653 1112566 1216487 1218278 1668849 1671306 1827417 2432974 3337698 3649461 3654834 4263973 7298922 7918807 8515409 8527946 12791919 15814331 15837614 17030818 18711893 23756421 25546227 25583838 31628662 37423786 47442993 47512842 51092454 55431649 56135679 94885986 110700317 110863298 112271358 130983251 166294947 221400634 243254609 261966502 332100951 332589894 392949753 486509218 664201902 729763827 785899506 1459527654 1702782263 3405564526 3723666707 5108346789 7447333414 10216693578 11171000121 22342000242 26065666949 48407667191 52131333898 78197000847 96815334382 145223001573 156394001694 290446003146 338853670337 677707340674 1016561011011 2033122022022