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23341012002 = 23471117110069
BaseRepresentation
bin10101101111001110…
…111001010000100010
32020020200020021010000
4111233032321100202
5340300244341002
614420034520430
71454261220450
oct255716712042
966220207100
1023341012002
119998435870
124634a36116
13227c919309
1411b5cd99d0
1591922061c
hex56f3b9422

23341012002 has 160 divisors (see below), whose sum is σ = 69042948480. Its totient is φ = 5705925120.

The previous prime is 23341011989. The next prime is 23341012003. The reversal of 23341012002 is 20021014332.

23341012002 is a `hidden beast` number, since 233 + 410 + 1 + 20 + 0 + 2 = 666.

It is a super-3 number, since 3×233410120023 (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23341012003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 157024 + ... + 267092.

It is an arithmetic number, because the mean of its divisors is an integer number (431518428).

Almost surely, 223341012002 is an apocalyptic number.

23341012002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23341012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34521474240).

23341012002 is an abundant number, since it is smaller than the sum of its proper divisors (45701936478).

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

23341012002 is a wasteful number, since it uses less digits than its factorization.

23341012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110118 (or 110109 counting only the distinct ones).

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

Adding to 23341012002 its reverse (20021014332), we get a palindrome (43362026334).

The spelling of 23341012002 in words is "twenty-three billion, three hundred forty-one million, twelve thousand, two".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 81 99 102 119 126 153 154 162 187 189 198 231 238 297 306 357 374 378 459 462 561 567 594 693 714 891 918 1071 1122 1134 1309 1377 1386 1683 1782 2079 2142 2618 2754 3213 3366 3927 4158 5049 6237 6426 7854 9639 10098 11781 12474 15147 19278 23562 30294 35343 70686 106029 110069 212058 220138 330207 660414 770483 990621 1210759 1540966 1871173 1981242 2311449 2421518 2971863 3632277 3742346 4622898 5613519 5943726 6934347 7264554 8475313 8915589 10896831 11227038 13098211 13868694 16840557 16950626 17831178 20582903 20803041 21793662 25425939 26196422 32690493 33681114 39294633 41165806 41606082 50521671 50851878 61748709 62409123 65380986 76277817 78589266 98071479 101043342 117883899 123497418 124818246 144080321 151565013 152555634 185246127 196142958 228833451 235767798 288160642 303130026 353651697 370492254 432240963 457666902 555738381 686500353 707303394 864481926 1060955091 1111476762 1296722889 1373000706 1667215143 2121910182 2593445778 3334430286 3890168667 7780337334 11670506001 23341012002