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126031355400 = 23352474469197
BaseRepresentation
bin111010101100000001…
…1011101111000001000
3110001022100020012200210
41311120003131320020
54031103011333100
6133521545201120
712051113562636
oct1653003357010
9401270205623
10126031355400
11494a4461765
12205137901a0
13bb66911012
146158398356
153429733c50
hex1d580dde08

126031355400 has 96 divisors (see below), whose sum is σ = 399009997440. Its totient is φ = 32893282560.

The previous prime is 126031355399. The next prime is 126031355407. The reversal of 126031355400 is 4553130621.

It is a super-2 number, since 2×1260313554002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (126031355407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2206399 + ... + 2262798.

It is an arithmetic number, because the mean of its divisors is an integer number (4156354140).

Almost surely, 2126031355400 is an apocalyptic number.

126031355400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126031355400 is an abundant number, since it is smaller than the sum of its proper divisors (272978642040).

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

126031355400 is a wasteful number, since it uses less digits than its factorization.

126031355400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469263 (or 4469254 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 126031355400 in words is "one hundred twenty-six billion, thirty-one million, three hundred fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 200 235 282 300 376 470 564 600 705 940 1128 1175 1410 1880 2350 2820 3525 4700 5640 7050 9400 14100 28200 4469197 8938394 13407591 17876788 22345985 26815182 35753576 44691970 53630364 67037955 89383940 107260728 111729925 134075910 178767880 210052259 223459850 268151820 335189775 420104518 446919700 536303640 630156777 670379550 840209036 893839400 1050261295 1260313554 1340759100 1680418072 2100522590 2520627108 2681518200 3150783885 4201045180 5041254216 5251306475 6301567770 8402090360 10502612950 12603135540 15753919425 21005225900 25206271080 31507838850 42010451800 63015677700 126031355400