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2024220103400 = 235211920100047
BaseRepresentation
bin11101011101001100111…
…010111001001011101000
321011111212101020120202202
4131131030322321023220
5231131100321302100
64145525221515332
7266150026662305
oct35351472711350
97144771216682
102024220103400
11710515527a70
12288383272b48
13118b633361c1
146dd894220ac
15379c44997d5
hex1d74ceb92e8

2024220103400 has 48 divisors (see below), whose sum is σ = 5134158267840. Its totient is φ = 736080036800.

The previous prime is 2024220103397. The next prime is 2024220103417. The reversal of 2024220103400 is 43010224202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 460047824 + ... + 460052223.

It is an arithmetic number, because the mean of its divisors is an integer number (106961630580).

Almost surely, 22024220103400 is an apocalyptic number.

2024220103400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024220103400 is an abundant number, since it is smaller than the sum of its proper divisors (3109938164440).

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

2024220103400 is a wasteful number, since it uses less digits than its factorization.

2024220103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920100074 (or 920100065 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2024220103400 its reverse (43010224202), we get a palindrome (2067230327602).

The spelling of 2024220103400 in words is "two trillion, twenty-four billion, two hundred twenty million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 920100047 1840200094 3680400188 4600500235 7360800376 9201000470 10121100517 18402000940 20242201034 23002501175 36804001880 40484402068 46005002350 50605502585 80968804136 92010004700 101211005170 184020009400 202422010340 253027512925 404844020680 506055025850 1012110051700 2024220103400