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2024012001032 = 237323301110651
BaseRepresentation
bin11101011101000000100…
…001000010111100001000
321011111022212122212222122
4131131000201002330020
5231130134033013112
64145452425310412
7266141622101000
oct35350041027410
97144285585878
102024012001032
1171041901063a
12288325635408
13118b2c1a2cc8
146dd69931000
15379b108e872
hex1d740842f08

2024012001032 has 128 divisors (see below), whose sum is σ = 4620070656000. Its totient is φ = 829365768000.

The previous prime is 2024012001023. The next prime is 2024012001049. The reversal of 2024012001032 is 2301002104202.

It is a self number, because there is not a number n which added to its sum of digits gives 2024012001032.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190024907 + ... + 190035557.

It is an arithmetic number, because the mean of its divisors is an integer number (36094302000).

Almost surely, 22024012001032 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 2024012001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310035328000).

2024012001032 is an abundant number, since it is smaller than the sum of its proper divisors (2596058654968).

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

2024012001032 is a wasteful number, since it uses less digits than its factorization.

2024012001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13712 (or 13694 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2024012001032 its reverse (2301002104202), we get a palindrome (4325014105234).

The spelling of 2024012001032 in words is "two trillion, twenty-four billion, twelve million, one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 343 392 644 686 1127 1288 1372 2254 2744 3011 4508 6022 7889 9016 10651 12044 15778 21077 21302 24088 31556 42154 42604 63112 69253 74557 84308 85208 138506 147539 149114 168616 244973 277012 295078 298228 484771 489946 521899 554024 590156 596456 969542 979892 1032773 1043798 1180312 1714811 1939084 1959784 2065546 2087596 3393397 3429622 3653293 3878168 4131092 4175192 6786794 6859244 7306586 8262184 12003677 13573588 13718488 14613172 23753779 24007354 27147176 29226344 32070161 47507558 48014708 64140322 84025739 95015116 96029416 128280644 168051478 190030232 224491127 256561288 336102956 448982254 672205912 737613703 897964508 1475227406 1571437889 1795929016 2950454812 3142875778 5163295921 5900909624 6285751556 10326591842 11000065223 12571503112 20653183684 22000130446 36143071447 41306367368 44000260892 72286142894 88000521784 144572285788 253001500129 289144571576 506003000258 1012006000516 2024012001032