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113055451000 = 23531073672879
BaseRepresentation
bin110100101001010100…
…0010100011101111000
3101210211000202222011221
41221102220110131320
53323014143413000
6123534214401424
711111422322602
oct1512250243570
9353730688157
10113055451000
1143a45944728
1219ab2060274
13a87952798b
145686d02172
152e1a49161a
hex1a52a14778

113055451000 has 128 divisors (see below), whose sum is σ = 267842764800. Its totient is φ = 44661955200.

The previous prime is 113055450979. The next prime is 113055451013. The reversal of 113055451000 is 154550311.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39267561 + ... + 39270439.

It is an arithmetic number, because the mean of its divisors is an integer number (2092521600).

Almost surely, 2113055451000 is an apocalyptic number.

113055451000 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 113055451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133921382400).

113055451000 is an abundant number, since it is smaller than the sum of its proper divisors (154787313800).

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

113055451000 is a wasteful number, since it uses less digits than its factorization.

113055451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 113055451000 in words is "one hundred thirteen billion, fifty-five million, four hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 367 428 500 535 734 856 1000 1070 1468 1835 2140 2675 2879 2936 3670 4280 5350 5758 7340 9175 10700 11516 13375 14395 14680 18350 21400 23032 26750 28790 36700 39269 45875 53500 57580 71975 73400 78538 91750 107000 115160 143950 157076 183500 196345 287900 308053 314152 359875 367000 392690 575800 616106 719750 785380 981725 1056593 1232212 1439500 1540265 1570760 1963450 2113186 2464424 2879000 3080530 3926900 4226372 4908625 5282965 6161060 7701325 7853800 8452744 9817250 10565930 12322120 15402650 19634500 21131860 26414825 30805300 38506625 39269000 42263720 52829650 61610600 77013250 105659300 113055451 132074125 154026500 211318600 226110902 264148250 308053000 452221804 528296500 565277255 904443608 1056593000 1130554510 2261109020 2826386275 4522218040 5652772550 11305545100 14131931375 22611090200 28263862750 56527725500 113055451000