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11423252121400 = 2352741199011361
BaseRepresentation
bin1010011000111010111011…
…1000101000011100111000
31111110001102002012012102201
42212032232320220130320
52444124310020341100
640143434121235544
72256205556642620
oct246165670503470
944401362165381
1011423252121400
113704635023269
121345aa0032bb4
1364b2921276c2
142b6c618d5880
1514c2295b536a
hexa63aee28738

11423252121400 has 96 divisors (see below), whose sum is σ = 31093535198880. Its totient is φ = 3821018112000.

The previous prime is 11423252121389. The next prime is 11423252121409. The reversal of 11423252121400 is 412125232411.

It is a happy number.

11423252121400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11423252121409) 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, 99448281 + ... + 99563080.

It is an arithmetic number, because the mean of its divisors is an integer number (323890991655).

Almost surely, 211423252121400 is an apocalyptic number.

11423252121400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11423252121400 is an abundant number, since it is smaller than the sum of its proper divisors (19670283077480).

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

11423252121400 is a wasteful number, since it uses less digits than its factorization.

11423252121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199011425 (or 199011416 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 11423252121400 its reverse (412125232411), we get a palindrome (11835377353811).

The spelling of 11423252121400 in words is "eleven trillion, four hundred twenty-three billion, two hundred fifty-two million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 410 574 700 820 1025 1148 1400 1435 1640 2050 2296 2870 4100 5740 7175 8200 11480 14350 28700 57400 199011361 398022722 796045444 995056805 1393079527 1592090888 1990113610 2786159054 3980227220 4975284025 5572318108 6965397635 7960454440 8159465801 9950568050 11144636216 13930795270 16318931602 19901136100 27861590540 32637863204 34826988175 39802272200 40797329005 55723181080 57116260607 65275726408 69653976350 81594658010 114232521214 139307952700 163189316020 203986645025 228465042428 278615905400 285581303035 326378632040 407973290050 456930084856 571162606070 815946580100 1142325212140 1427906515175 1631893160200 2284650424280 2855813030350 5711626060700 11423252121400