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20411403100 = 225211411014481
BaseRepresentation
bin10011000000100111…
…010100101101011100
31221200111122201012121
4103000213110231130
5313300304344400
613213223112324
71321546030564
oct230047245534
957614581177
1020411403100
118724783290
123b578a26a4
131c039ac61a
14db8bb7da4
157e6e3321a
hex4c09d4b5c

20411403100 has 144 divisors (see below), whose sum is σ = 49999112352. Its totient is φ = 7168000000.

The previous prime is 20411403083. The next prime is 20411403101. The reversal of 20411403100 is 130411402.

It is a super-2 number, since 2×204114031002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20411403101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4552860 + ... + 4557340.

It is an arithmetic number, because the mean of its divisors is an integer number (347216058).

Almost surely, 220411403100 is an apocalyptic number.

20411403100 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 20411403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24999556176).

20411403100 is an abundant number, since it is smaller than the sum of its proper divisors (29587709252).

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

20411403100 is a wasteful number, since it uses less digits than its factorization.

20411403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20411403100 its reverse (130411402), we get a palindrome (20541814502).

The spelling of 20411403100 in words is "twenty billion, four hundred eleven million, four hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 101 110 164 202 205 220 275 404 410 451 505 550 820 902 1010 1025 1100 1111 1804 2020 2050 2222 2255 2525 4100 4141 4444 4481 4510 5050 5555 8282 8962 9020 10100 11110 11275 16564 17924 20705 22220 22405 22550 27775 41410 44810 45100 45551 49291 55550 82820 89620 91102 98582 103525 111100 112025 182204 183721 197164 207050 224050 227755 246455 367442 414100 448100 452581 455510 492910 734884 905162 911020 918605 985820 1138775 1232275 1810324 1837210 2020931 2262905 2277550 2464550 3674420 4041862 4525810 4555100 4593025 4929100 4978391 8083724 9051620 9186050 9956782 10104655 11314525 18372100 18555821 19913564 20209310 22629050 24891955 37111642 40418620 45258100 49783910 50523275 74223284 92779105 99567820 101046550 124459775 185558210 202093100 204114031 248919550 371116420 408228062 463895525 497839100 816456124 927791050 1020570155 1855582100 2041140310 4082280620 5102850775 10205701550 20411403100