Search a number
-
+
2002023144330 = 23511101233257797
BaseRepresentation
bin11101001000100001111…
…000001101101110001010
321002101120102202020020120
4131020201320031232022
5230300120411104310
64131414452004110
7264432666643026
oct35104170155612
97071512666216
102002023144330
117020649660a0
12284009600636
13116a367530b1
146cc81451386
1537125912b70
hex1d221e0db8a

2002023144330 has 128 divisors (see below), whose sum is σ = 5316297981696. Its totient is φ = 478469376000.

The previous prime is 2002023144313. The next prime is 2002023144371. The reversal of 2002023144330 is 334413202002.

It is a super-2 number, since 2×20020231443302 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2002023144330.

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 63 ways as a sum of consecutive naturals, for example, 7636992 + ... + 7894788.

It is an arithmetic number, because the mean of its divisors is an integer number (41533577982).

Almost surely, 22002023144330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002023144330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658148990848).

2002023144330 is an abundant number, since it is smaller than the sum of its proper divisors (3314274837366).

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

2002023144330 is a wasteful number, since it uses less digits than its factorization.

2002023144330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258152.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2002023144330 its reverse (334413202002), we get a palindrome (2336436346332).

The spelling of 2002023144330 in words is "two trillion, two billion, twenty-three million, one hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 233 303 330 466 505 606 699 1010 1111 1165 1398 1515 2222 2330 2563 3030 3333 3495 5126 5555 6666 6990 7689 11110 12815 15378 16665 23533 25630 33330 38445 47066 70599 76890 117665 141198 235330 257797 258863 352995 515594 517726 705990 773391 776589 1288985 1294315 1546782 1553178 2577970 2588630 2835767 3866955 3882945 5671534 7733910 7765890 8507301 14178835 17014602 26037497 28357670 42536505 52074994 60066701 78112491 85073010 120133402 130187485 156224982 180200103 260374970 286412467 300333505 360400206 390562455 572824934 600667010 660733711 781124910 859237401 901000515 1321467422 1432062335 1718474802 1802001030 1982201133 2864124670 3303668555 3964402266 4296187005 6066736801 6607337110 8592374010 9911005665 12133473602 18200210403 19822011330 30333684005 36400420806 60667368010 66734104811 91001052015 133468209622 182002104030 200202314433 333670524055 400404628866 667341048110 1001011572165 2002023144330