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11420401100 = 22521716274129
BaseRepresentation
bin10101010001011010…
…10111110111001100
31002110220111111010112
422220231113313030
5141342110313400
65125122455152
7553002544013
oct125055276714
932426444115
1011420401100
114930578419
1222688044b8
13110005cab4
147a4a65a7a
1546c932835
hex2a8b57dcc

11420401100 has 72 divisors (see below), whose sum is σ = 26262537840. Its totient is φ = 4295761920.

The previous prime is 11420401073. The next prime is 11420401121. The reversal of 11420401100 is 110402411.

It is a super-2 number, since 2×114204011002 (a number of 21 digits) contains 22 as substring.

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, 2763836 + ... + 2767964.

It is an arithmetic number, because the mean of its divisors is an integer number (364757470).

Almost surely, 211420401100 is an apocalyptic number.

11420401100 is a gapful number since it is divisible by the number (10) 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 11420401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13131268920).

11420401100 is an abundant number, since it is smaller than the sum of its proper divisors (14842136740).

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

11420401100 is a wasteful number, since it uses less digits than its factorization.

11420401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11420401100 its reverse (110402411), we get a palindrome (11530803511).

The spelling of 11420401100 in words is "eleven billion, four hundred twenty million, four hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1627 1700 3254 4129 6508 8135 8258 16270 16516 20645 27659 32540 40675 41290 55318 70193 81350 82580 103225 110636 138295 140386 162700 206450 276590 280772 350965 412900 553180 691475 701930 1382950 1403860 1754825 2765900 3509650 6717883 7019300 13435766 26871532 33589415 67178830 114204011 134357660 167947075 228408022 335894150 456816044 571020055 671788300 1142040110 2284080220 2855100275 5710200550 11420401100