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125250487100 = 2252193710716651
BaseRepresentation
bin111010010100110000…
…0101100001100111100
3102222021220212222202122
41310221200230030330
54023003111041400
6133312252342112
712022552400654
oct1645140541474
9388256788678
10125250487100
11491336a8862
1220336174938
13ba70bc927b
1460c27ad364
1533d0dda685
hex1d2982c33c

125250487100 has 144 divisors (see below), whose sum is σ = 296594766720. Its totient is φ = 45746208000.

The previous prime is 125250487097. The next prime is 125250487111. The reversal of 125250487100 is 1784052521.

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 47 ways as a sum of consecutive naturals, for example, 7513775 + ... + 7530425.

It is an arithmetic number, because the mean of its divisors is an integer number (2059685880).

Almost surely, 2125250487100 is an apocalyptic number.

125250487100 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 125250487100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148297383360).

125250487100 is an abundant number, since it is smaller than the sum of its proper divisors (171344279620).

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

125250487100 is a wasteful number, since it uses less digits than its factorization.

125250487100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16828 (or 16821 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The spelling of 125250487100 in words is "one hundred twenty-five billion, two hundred fifty million, four hundred eighty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 37 38 50 74 76 95 100 107 148 185 190 214 370 380 428 475 535 703 740 925 950 1070 1406 1850 1900 2033 2140 2675 2812 3515 3700 3959 4066 5350 7030 7918 8132 10165 10700 14060 15836 16651 17575 19795 20330 33302 35150 39590 40660 50825 66604 70300 75221 79180 83255 98975 101650 150442 166510 197950 203300 300884 316369 333020 376105 395900 416275 616087 632738 752210 832550 1232174 1265476 1504420 1581845 1665100 1781657 1880525 2464348 3080435 3163690 3563314 3761050 6160870 6327380 7126628 7522100 7909225 8908285 11705653 12321740 15402175 15818450 17816570 23411306 30804350 31636900 33851483 35633140 44541425 46822612 58528265 61608700 65921309 67702966 89082850 117056530 131842618 135405932 169257415 178165700 234113060 263685236 292641325 329606545 338514830 585282650 659213090 677029660 846287075 1170565300 1252504871 1318426180 1648032725 1692574150 2505009742 3296065450 3385148300 5010019484 6262524355 6592130900 12525048710 25050097420 31312621775 62625243550 125250487100