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21341310124002 = 231141107142351797
BaseRepresentation
bin1001101101000111010010…
…01101010111111111100010
32210120012122121002200122120
410312203221031113333202
510244124000342432002
6113220021301045110
74331600362661511
oct466435115277742
983505577080576
1021341310124002
11688888721a880
1224881096b6796
13bba627a0181b
1453acd3dac678
1527020a7d2cbc
hex1368e9357fe2

21341310124002 has 128 divisors (see below), whose sum is σ = 48179081760768. Its totient is φ = 6245851737600.

The previous prime is 21341310123997. The next prime is 21341310124003. The reversal of 21341310124002 is 20042101314312.

It is not an unprimeable number, because it can be changed into a prime (21341310124003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411992368 + ... + 412044164.

It is an arithmetic number, because the mean of its divisors is an integer number (376399076256).

Almost surely, 221341310124002 is an apocalyptic number.

21341310124002 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 21341310124002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24089540880384).

21341310124002 is an abundant number, since it is smaller than the sum of its proper divisors (26837771636766).

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

21341310124002 is a wasteful number, since it uses less digits than its factorization.

21341310124002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53384.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21341310124002 its reverse (20042101314312), we get a palindrome (41383411438314).

The spelling of 21341310124002 in words is "twenty-one trillion, three hundred forty-one billion, three hundred ten million, one hundred twenty-four thousand, two".

Divisors: 1 2 3 6 11 22 33 41 66 82 107 123 214 246 321 451 642 902 1177 1353 1423 2354 2706 2846 3531 4269 4387 7062 8538 8774 13161 15653 26322 31306 46959 48257 51797 58343 93918 96514 103594 116686 144771 152261 155391 175029 289542 304522 310782 350058 456783 569767 641773 913566 1139534 1283546 1674871 1709301 1925319 2123677 3349742 3418602 3850638 4247354 5024613 5542279 6242701 6371031 10049226 11084558 12485402 12742062 16626837 18728103 23360447 33253674 37456206 46720894 60965069 68669711 70081341 73707131 121930138 137339422 140162682 147414262 182895207 206009133 221121393 227233439 365790414 412018266 442242786 454466878 681700317 810778441 1363400634 1621556882 2432335323 2499567829 3021992371 4864670646 4999135658 6043984742 7498703487 7886663017 9065977113 14997406974 15773326034 18131954226 23659989051 33241916081 47319978102 66483832162 86753293187 99725748243 173506586374 199451496486 260259879561 323353183697 520519759122 646706367394 970059551091 1940119102182 3556885020667 7113770041334 10670655062001 21341310124002