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125552214300 = 223522974319423
BaseRepresentation
bin111010011101101111…
…1101100000100011100
3110000001221122022200010
41310323133230010130
54024112331324200
6133402231403220
712033205133052
oct1647337540434
9400057568603
10125552214300
1149278a51987
12203bb223510
13babb580286
1461108b21d2
1533ec63b150
hex1d3b7ec11c

125552214300 has 144 divisors (see below), whose sum is σ = 376315914240. Its totient is φ = 32280917760.

The previous prime is 125552214257. The next prime is 125552214353. The reversal of 125552214300 is 3412255521.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6454389 + ... + 6473811.

It is an arithmetic number, because the mean of its divisors is an integer number (2613304960).

Almost surely, 2125552214300 is an apocalyptic number.

125552214300 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 125552214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188157957120).

125552214300 is an abundant number, since it is smaller than the sum of its proper divisors (250763699940).

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

125552214300 is a wasteful number, since it uses less digits than its factorization.

125552214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20212 (or 20205 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 125552214300 its reverse (3412255521), we get a palindrome (128964469821).

The spelling of 125552214300 in words is "one hundred twenty-five billion, five hundred fifty-two million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 743 870 1450 1486 1740 2175 2229 2900 2972 3715 4350 4458 7430 8700 8916 11145 14860 18575 19423 21547 22290 37150 38846 43094 44580 55725 58269 64641 74300 77692 86188 97115 107735 111450 116538 129282 194230 215470 222900 233076 258564 291345 323205 388460 430940 485575 538675 563267 582690 646410 971150 1077350 1126534 1165380 1292820 1456725 1616025 1689801 1942300 2154700 2253068 2816335 2913450 3232050 3379602 5632670 5826900 6464100 6759204 8449005 11265340 14081675 14431289 16898010 28163350 28862578 33796020 42245025 43293867 56326700 57725156 72156445 84490050 86587734 144312890 168980100 173175468 216469335 288625780 360782225 418507381 432938670 721564450 837014762 865877340 1082346675 1255522143 1443128900 1674029524 2092536905 2164693350 2511044286 4185073810 4329386700 5022088572 6277610715 8370147620 10462684525 12555221430 20925369050 25110442860 31388053575 41850738100 62776107150 125552214300