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11400050100 = 22352349108883
BaseRepresentation
bin10101001110111111…
…01111010110110100
31002102111012112210210
422213133233112310
5141321403100400
65123114345420
7552334553445
oct124737572664
932374175723
1011400050100
11492003840a
122261a2b270
1310c8a8599a
147a20892cc
1546ac62950
hex2a77ef5b4

11400050100 has 72 divisors (see below), whose sum is σ = 33078959200. Its totient is φ = 3031274880.

The previous prime is 11400050089. The next prime is 11400050107. The reversal of 11400050100 is 105000411.

It is a happy number.

It is a super-2 number, since 2×114000501002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400050107) 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, 50259 + ... + 159141.

Almost surely, 211400050100 is an apocalyptic number.

11400050100 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 11400050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539479600).

11400050100 is an abundant number, since it is smaller than the sum of its proper divisors (21678909100).

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

11400050100 is a wasteful number, since it uses less digits than its factorization.

11400050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109249 (or 109242 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 11400050100 its reverse (105000411), we get a palindrome (11505050511).

The spelling of 11400050100 in words is "eleven billion, four hundred million, fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 349 698 1047 1396 1745 2094 3490 4188 5235 6980 8725 10470 17450 20940 26175 34900 52350 104700 108883 217766 326649 435532 544415 653298 1088830 1306596 1633245 2177660 2722075 3266490 5444150 6532980 8166225 10888300 16332450 32664900 38000167 76000334 114000501 152000668 190000835 228001002 380001670 456002004 570002505 760003340 950004175 1140005010 1900008350 2280010020 2850012525 3800016700 5700025050 11400050100