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133114551100 = 225219314394793
BaseRepresentation
bin111101111111000111…
…1101101101100111100
3110201120222111211112021
41323332033231230330
54140104311113400
6141052454445524
712421463005156
oct1737617555474
9421528454467
10133114551100
11514a976a503
122196b9638a4
13c725225a8b
14662adadad6
1536e14d371a
hex1efe3edb3c

133114551100 has 72 divisors (see below), whose sum is σ = 290617649280. Its totient is φ = 52922081280.

The previous prime is 133114551061. The next prime is 133114551103. The reversal of 133114551100 is 1155411331.

It is a super-2 number, since 2×1331145511002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133114551103) 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, 27770304 + ... + 27775096.

It is an arithmetic number, because the mean of its divisors is an integer number (4036356240).

Almost surely, 2133114551100 is an apocalyptic number.

133114551100 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 133114551100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145308824640).

133114551100 is an abundant number, since it is smaller than the sum of its proper divisors (157503098180).

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

133114551100 is a wasteful number, since it uses less digits than its factorization.

133114551100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 133114551100 its reverse (1155411331), we get a palindrome (134269962431).

The spelling of 133114551100 in words is "one hundred thirty-three billion, one hundred fourteen million, five hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1439 1930 2878 3860 4793 4825 5756 7195 9586 9650 14390 19172 19300 23965 28780 35975 47930 71950 95860 119825 143900 239650 277727 479300 555454 925049 1110908 1388635 1850098 2777270 3700196 4625245 5554540 6897127 6943175 9250490 13794254 13886350 18500980 23126225 27588508 27772700 34485635 46252450 68971270 92504900 137942540 172428175 344856350 689712700 1331145511 2662291022 5324582044 6655727555 13311455110 26622910220 33278637775 66557275550 133114551100