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1114132210400 = 255211126605933
BaseRepresentation
bin10000001101100111011…
…101000110001011100000
310221111202210022102212202
4100031213131012023200
5121223220321213100
62211454131512332
7143331143351066
oct20154735061340
93844683272782
101114132210400
1139a556650920
1215bb147586a8
13810a68c7a51
143bcd2358036
151deab4ec7d5
hex103677462e0

1114132210400 has 72 divisors (see below), whose sum is σ = 2967136669224. Its totient is φ = 405138982400.

The previous prime is 1114132210381. The next prime is 1114132210403. The reversal of 1114132210400 is 40122314111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114132210403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63294167 + ... + 63311766.

It is an arithmetic number, because the mean of its divisors is an integer number (41210231517).

Almost surely, 21114132210400 is an apocalyptic number.

1114132210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114132210400 is an abundant number, since it is smaller than the sum of its proper divisors (1853004458824).

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

1114132210400 is a wasteful number, since it uses less digits than its factorization.

1114132210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126605964 (or 126605951 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1114132210400 its reverse (40122314111), we get a palindrome (1154254524511).

The spelling of 1114132210400 in words is "one trillion, one hundred fourteen billion, one hundred thirty-two million, two hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 126605933 253211866 506423732 633029665 1012847464 1266059330 1392665263 2025694928 2532118660 2785330526 3165148325 4051389856 5064237320 5570661052 6330296650 6963326315 10128474640 11141322104 12660593300 13926652630 20256949280 22282644208 25321186600 27853305260 34816631575 44565288416 50642373200 55706610520 69633263150 101284746400 111413221040 139266526300 222826442080 278533052600 557066105200 1114132210400