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2023132122312 = 2337101325336653
BaseRepresentation
bin11101011100001100000…
…100100100110011001000
321011102001120000102021220
4131130030010210303020
5231121333310403222
64145225234402040
7266111046204630
oct35341404446310
97142046012256
102023132122312
11710007381744
1228811aa30320
13118a1bb03002
146dcc4b316c0
153795dbd9b5c
hex1d70c124cc8

2023132122312 has 128 divisors (see below), whose sum is σ = 5839562799360. Its totient is φ = 572123059200.

The previous prime is 2023132122203. The next prime is 2023132122367. The reversal of 2023132122312 is 2132212313202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55178578 + ... + 55215230.

It is an arithmetic number, because the mean of its divisors is an integer number (45621584370).

Almost surely, 22023132122312 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 2023132122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919781399680).

2023132122312 is an abundant number, since it is smaller than the sum of its proper divisors (3816430677048).

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

2023132122312 is a wasteful number, since it uses less digits than its factorization.

2023132122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40023 (or 40019 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2023132122312 its reverse (2132212313202), we get a palindrome (4155344435514).

The spelling of 2023132122312 in words is "two trillion, twenty-three billion, one hundred thirty-two million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2424 2828 3253 4242 5656 6506 8484 9759 13012 16968 19518 22771 26024 36653 39036 45542 68313 73306 78072 91084 109959 136626 146612 182168 219918 256571 273252 293224 328553 439836 513142 546504 657106 769713 879672 985659 1026284 1314212 1539426 1971318 2052568 2299871 2628424 3078852 3701953 3942636 4599742 6157704 6899613 7403906 7885272 9199484 11105859 13799226 14807812 18398968 22211718 25913671 27598452 29615624 44423436 51827342 55196904 77741013 88846872 103654684 119232209 155482026 207309368 238464418 310964052 357696627 476928836 621928104 715393254 834625463 953857672 1430786508 1669250926 2503876389 2861573016 3338501852 5007752778 6677003704 10015505556 12042453109 20031011112 24084906218 36127359327 48169812436 72254718654 84297171763 96339624872 144509437308 168594343526 252891515289 289018874616 337188687052 505783030578 674377374104 1011566061156 2023132122312