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20120120100 = 22325267333667
BaseRepresentation
bin10010101111010000…
…001010101100100100
31220221012120000001100
4102233100022230210
5312201222320400
613124300000100
71311411125163
oct225720125444
956835500040
1020120120100
118595313033
123a96230030
131b88544412
14d8c2333da
157cb597100
hex4af40ab24

20120120100 has 108 divisors (see below), whose sum is σ = 64006865104. Its totient is φ = 5285269440.

The previous prime is 20120120099. The next prime is 20120120197. The reversal of 20120120100 is 102102102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106534 + ... + 227133.

Almost surely, 220120120100 is an apocalyptic number.

20120120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120120100 is an abundant number, since it is smaller than the sum of its proper divisors (43886745004).

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

20120120100 is a wasteful number, since it uses less digits than its factorization.

20120120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333754 (or 333744 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20120120100 its reverse (102102102), we get a palindrome (20222222202).

The spelling of 20120120100 in words is "twenty billion, one hundred twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 67 75 90 100 134 150 180 201 225 268 300 335 402 450 603 670 804 900 1005 1206 1340 1675 2010 2412 3015 3350 4020 5025 6030 6700 10050 12060 15075 20100 30150 60300 333667 667334 1001001 1334668 1668335 2002002 3003003 3336670 4004004 5005005 6006006 6673340 8341675 10010010 12012012 15015015 16683350 20020020 22355689 25025025 30030030 33366700 44711378 50050050 60060060 67067067 75075075 89422756 100100100 111778445 134134134 150150150 201201201 223556890 268268268 300300300 335335335 402402402 447113780 558892225 670670670 804804804 1006006005 1117784450 1341341340 1676676675 2012012010 2235568900 3353353350 4024024020 5030030025 6706706700 10060060050 20120120100