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128218120700 = 225223214916267
BaseRepresentation
bin111011101101001100…
…1010100000111111100
3110020221202000101202012
41313122121110013330
54100042314330300
6134522543150352
712156236020655
oct1673231240774
9406852011665
10128218120700
114a41687190a
1220a23ba53b8
13c12498a697
1462c498c52c
1535066d9435
hex1dda6541fc

128218120700 has 108 divisors (see below), whose sum is σ = 292826440200. Its totient is φ = 48725128320.

The previous prime is 128218120577. The next prime is 128218120753. The reversal of 128218120700 is 7021812821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7873967 + ... + 7890233.

Almost surely, 2128218120700 is an apocalyptic number.

128218120700 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 128218120700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146413220100).

128218120700 is an abundant number, since it is smaller than the sum of its proper divisors (164608319500).

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

128218120700 is a wasteful number, since it uses less digits than its factorization.

128218120700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476 (or 16446 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The spelling of 128218120700 in words is "one hundred twenty-eight billion, two hundred eighteen million, one hundred twenty thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 149 230 298 460 529 575 596 745 1058 1150 1490 2116 2300 2645 2980 3427 3725 5290 6854 7450 10580 13225 13708 14900 16267 17135 26450 32534 34270 52900 65068 68540 78821 81335 85675 157642 162670 171350 315284 325340 342700 374141 394105 406675 748282 788210 813350 1496564 1576420 1626700 1870705 1970525 2423783 3741410 3941050 4847566 7482820 7882100 8605243 9353525 9695132 12118915 17210486 18707050 24237830 34420972 37414100 43026215 48475660 55747009 60594575 86052430 111494018 121189150 172104860 215131075 222988036 242378300 278735045 430262150 557470090 860524300 1114940180 1282181207 1393675225 2564362414 2787350450 5128724828 5574700900 6410906035 12821812070 25643624140 32054530175 64109060350 128218120700