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20321200144104 = 23323173643330943
BaseRepresentation
bin1001001111011011001011…
…11010100111111011101000
32122221200120101012102212020
410213231211322213323220
510130420304214102404
6111115232551544440
74165105166136456
oct447554572477350
978850511172766
1020321200144104
116525199788392
12234247498b120
13b453863321c2
145037a0c119d6
15253903828ed9
hex127b65ea7ee8

20321200144104 has 128 divisors (see below), whose sum is σ = 53401335644160. Its totient is φ = 6431733335808.

The previous prime is 20321200144099. The next prime is 20321200144117. The reversal of 20321200144104 is 40144100212302.

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

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, 61238457 + ... + 61569399.

It is an arithmetic number, because the mean of its divisors is an integer number (417197934720).

Almost surely, 220321200144104 is an apocalyptic number.

20321200144104 is a gapful number since it is divisible by the number (24) 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 20321200144104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26700667822080).

20321200144104 is an abundant number, since it is smaller than the sum of its proper divisors (33080135500056).

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

20321200144104 is a wasteful number, since it uses less digits than its factorization.

20321200144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331791 (or 331787 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20321200144104 its reverse (40144100212302), we get a palindrome (60465300356406).

The spelling of 20321200144104 in words is "twenty trillion, three hundred twenty-one billion, two hundred million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 173 184 276 346 519 552 643 692 1038 1286 1384 1929 2076 2572 3858 3979 4152 5144 7716 7958 11937 14789 15432 15916 23874 29578 31832 44367 47748 59156 88734 95496 111239 118312 177468 222478 330943 333717 354936 444956 661886 667434 889912 992829 1323772 1334868 1985658 2558497 2647544 2669736 3971316 5116994 7611689 7675491 7942632 10233988 15223378 15350982 20467976 22835067 30446756 30701964 45670134 57253139 60893512 61403928 91340268 114506278 171759417 182680536 212796349 229012556 343518834 425592698 458025112 638389047 687037668 851185396 1276778094 1316822197 1374075336 1702370792 2553556188 2633644394 3950466591 4894316027 5107112376 5267288788 7900933182 9788632054 10534577576 14682948081 15801866364 19577264108 29365896162 31603732728 36813768377 39154528216 58731792324 73627536754 110441305131 117463584648 147255073508 220882610262 294510147016 441765220524 846716672671 883530441048 1693433345342 2540150018013 3386866690684 5080300036026 6773733381368 10160600072052 20321200144104