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20010220100000 = 25551315392477
BaseRepresentation
bin1001000110010111111100…
…00011111001100110100000
32121211221212122101101012222
410203023332003321212200
510110321412321200000
6110320322422210212
74133455623314534
oct443137603714640
977757778341188
1020010220100000
116415317643479
1222b2146283968
13b21c567752a0
144d26dd715bc4
1524a7a221da85
hex1232fe0f99a0

20010220100000 has 144 divisors (see below), whose sum is σ = 53028502817976. Its totient is φ = 7388388480000.

The previous prime is 20010220099931. The next prime is 20010220100009. The reversal of 20010220100000 is 102201002.

It can be written as a sum of positive squares in 12 ways, for example, as 13272935385616 + 6737284714384 = 3643204^2 + 2595628^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (20010220100009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6396239 + ... + 8996238.

Almost surely, 220010220100000 is an apocalyptic number.

20010220100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010220100000 is an abundant number, since it is smaller than the sum of its proper divisors (33018282717976).

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

20010220100000 is an equidigital number, since it uses as much as digits as its factorization.

20010220100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15392525 (or 15392497 counting only the distinct ones).

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

Adding to 20010220100000 its reverse (102201002), we get a palindrome (20010322301002).

The spelling of 20010220100000 in words is "twenty trillion, ten billion, two hundred twenty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3125 3250 4000 5000 5200 6250 6500 8125 10000 10400 12500 13000 16250 20000 25000 26000 32500 40625 50000 52000 65000 81250 100000 130000 162500 260000 325000 650000 1300000 15392477 30784954 61569908 76962385 123139816 153924770 200102201 246279632 307849540 384811925 400204402 492559264 615699080 769623850 800408804 1000511005 1231398160 1539247700 1600817608 1924059625 2001022010 2462796320 3078495400 3201635216 3848119250 4002044020 5002555025 6156990800 6403270432 7696238500 8004088040 9620298125 10005110050 12313981600 15392477000 16008176080 19240596250 20010220100 25012775125 30784954000 32016352160 38481192500 40020440200 48101490625 50025550250 61569908000 76962385000 80040880400 96202981250 100051100500 125063875625 153924770000 160081760800 192405962500 200102201000 250127751250 307849540000 384811925000 400204402000 500255502500 625319378125 769623850000 800408804000 1000511005000 1250638756250 1539247700000 2001022010000 2501277512500 4002044020000 5002555025000 10005110050000 20010220100000