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20111414300 = 22523141158233
BaseRepresentation
bin10010101110101110…
…111101010000011100
31220220121011200221022
4102232232331100130
5312142010224200
613123345223312
71311244125635
oct225656752034
956817150838
1020111414300
11859040725a
123a93331b38
131b867b6963
14d8b00888c
157ca927885
hex4aebbd41c

20111414300 has 72 divisors (see below), whose sum is σ = 46148629632. Its totient is φ = 7595136000.

The previous prime is 20111414231. The next prime is 20111414327. The reversal of 20111414300 is 341411102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47984 + ... + 206216.

Almost surely, 220111414300 is an apocalyptic number.

20111414300 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 20111414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23074314816).

20111414300 is an abundant number, since it is smaller than the sum of its proper divisors (26037215332).

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

20111414300 is a wasteful number, since it uses less digits than its factorization.

20111414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158319 (or 158312 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20111414300 its reverse (341411102), we get a palindrome (20452825402).

The spelling of 20111414300 in words is "twenty billion, one hundred eleven million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 41 50 62 82 100 124 155 164 205 310 410 620 775 820 1025 1271 1550 2050 2542 3100 4100 5084 6355 12710 25420 31775 63550 127100 158233 316466 632932 791165 1582330 3164660 3955825 4905223 6487553 7911650 9810446 12975106 15823300 19620892 24526115 25950212 32437765 49052230 64875530 98104460 122630575 129751060 162188825 201114143 245261150 324377650 402228286 490522300 648755300 804456572 1005570715 2011141430 4022282860 5027853575 10055707150 20111414300