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20122413421000 = 23531114731124181
BaseRepresentation
bin1001001001101000111010…
…10011011101000111001000
32122020200110120220121101011
410210310131103131013020
510114141200313433000
6110444035322333304
74144540106646052
oct444643523350710
978220416817334
1020122413421000
11645895a871070
12230ba3765a234
13b2c6c64a5767
144d7d03d188d2
1524d66bb642ba
hex124d1d4dd1c8

20122413421000 has 128 divisors (see below), whose sum is σ = 51370934209920. Its totient is φ = 7316685600000.

The previous prime is 20122413420973. The next prime is 20122413421031. The reversal of 20122413421000 is 12431422102.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 161978910 + ... + 162103090.

It is an arithmetic number, because the mean of its divisors is an integer number (401335423515).

Almost surely, 220122413421000 is an apocalyptic number.

20122413421000 is a gapful number since it is divisible by the number (20) 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 20122413421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25685467104960).

20122413421000 is an abundant number, since it is smaller than the sum of its proper divisors (31248520788920).

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

20122413421000 is a wasteful number, since it uses less digits than its factorization.

20122413421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138944 (or 138930 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 20122413421000 its reverse (12431422102), we get a palindrome (20134844843102).

The spelling of 20122413421000 in words is "twenty trillion, one hundred twenty-two billion, four hundred thirteen million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 14731 29462 58924 73655 117848 124181 147310 162041 248362 294620 324082 368275 496724 589240 620905 648164 736550 810205 993448 1241810 1296328 1365991 1473100 1620410 1841375 2483620 2731982 2946200 3104525 3240820 3682750 4051025 4967240 5463964 6209050 6481640 6829955 7365500 8102050 10927928 12418100 13659910 14731000 15522625 16204100 20255125 24836200 27319820 31045250 32408200 34149775 40510250 54639640 62090500 68299550 81020500 124181000 136599100 162041000 170748875 273198200 341497750 682995500 1365991000 1829310311 3658620622 7317241244 9146551555 14634482488 18293103110 20122413421 36586206220 40244826842 45732757775 73172412440 80489653684 91465515550 100612067105 160979307368 182931031100 201224134210 228663788875 365862062200 402448268420 457327577750 503060335525 804896536840 914655155500 1006120671050 1829310311000 2012241342100 2515301677625 4024482684200 5030603355250 10061206710500 20122413421000