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20020133142320 = 2451497692184059
BaseRepresentation
bin1001000110101010011001…
…11011001001111100110000
32121212220110111112002211112
410203111030323021330300
510111002213041023240
6110325042221132452
74134256363634543
oct443251473117460
977786414462745
1020020133142320
116419544264933
1222b40520ba128
13b22b764374bc
144d2da00c085a
1524ab82651665
hex12354cec9f30

20020133142320 has 80 divisors (see below), whose sum is σ = 46920160980000. Its totient is φ = 7943960592384.

The previous prime is 20020133142307. The next prime is 20020133142367. The reversal of 20020133142320 is 2324133102002.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8074451 + ... + 10258509.

It is an arithmetic number, because the mean of its divisors is an integer number (586502012250).

Almost surely, 220020133142320 is an apocalyptic number.

20020133142320 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 20020133142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23460080490000).

20020133142320 is an abundant number, since it is smaller than the sum of its proper divisors (26900027837680).

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

20020133142320 is a wasteful number, since it uses less digits than its factorization.

20020133142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184990 (or 2184984 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 20020133142320 its reverse (2324133102002), we get a palindrome (22344266244322).

The spelling of 20020133142320 in words is "twenty trillion, twenty billion, one hundred thirty-three million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 769 1192 1490 1538 2384 2980 3076 3845 5960 6152 7690 11920 12304 15380 30760 61520 114581 229162 458324 572905 916648 1145810 1833296 2184059 2291620 4368118 4583240 8736236 9166480 10920295 17472472 21840590 34944944 43681180 87362360 174724720 325424791 650849582 1301699164 1627123955 1679541371 2603398328 3254247910 3359082742 5206796656 6508495820 6718165484 8397706855 13016991640 13436330968 16795413710 26033983280 26872661936 33590827420 67181654840 134363309680 250251664279 500503328558 1001006657116 1251258321395 2002013314232 2502516642790 4004026628464 5005033285580 10010066571160 20020133142320