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2023143012 = 22321147711531
BaseRepresentation
bin111100010010110…
…1011011001100100
312012222220022110200
41320211223121210
513120411034022
6532430550500
7101064301062
oct17045533144
95188808420
102023143012
11949014320
12485668430
132631bb257
141529a1032
15bc934bac
hex7896b664

2023143012 has 144 divisors (see below), whose sum is σ = 5781694464. Its totient is φ = 591192000.

The previous prime is 2023143007. The next prime is 2023143029. The reversal of 2023143012 is 2103413202.

2023143012 is a `hidden beast` number, since 2 + 0 + 231 + 430 + 1 + 2 = 666.

It is a super-3 number, since 3×20231430123 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1320687 + ... + 1322217.

It is an arithmetic number, because the mean of its divisors is an integer number (40150656).

Almost surely, 22023143012 is an apocalyptic number.

2023143012 is a gapful number since it is divisible by the number (22) 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 2023143012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890847232).

2023143012 is an abundant number, since it is smaller than the sum of its proper divisors (3758551452).

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

2023143012 is a wasteful number, since it uses less digits than its factorization.

2023143012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2023143012 is about 44979.3620675082. The cubic root of 2023143012 is about 1264.7621526817.

Adding to 2023143012 its reverse (2103413202), we get a palindrome (4126556214).

The spelling of 2023143012 in words is "two billion, twenty-three million, one hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 71 94 99 132 141 142 188 198 213 282 284 396 423 426 517 564 639 781 846 852 1034 1278 1531 1551 1562 1692 2068 2343 2556 3062 3102 3124 3337 4593 4653 4686 6124 6204 6674 7029 9186 9306 9372 10011 13348 13779 14058 16841 18372 18612 20022 27558 28116 30033 33682 36707 40044 50523 55116 60066 67364 71957 73414 101046 108701 110121 120132 143914 146828 151569 202092 215871 217402 220242 287828 303138 326103 330363 431742 434804 440484 606276 647613 652206 660726 791527 863484 978309 1195711 1295226 1304412 1321452 1583054 1956618 2374581 2391422 2590452 3166108 3587133 3913236 4749162 4782844 5108947 7123743 7174266 9498324 10217894 10761399 14247486 14348532 15326841 20435788 21522798 28494972 30653682 43045596 45980523 56198417 61307364 91961046 112396834 168595251 183922092 224793668 337190502 505785753 674381004 1011571506 2023143012