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13425141100 = 22527294714071
BaseRepresentation
bin11001000000011001…
…10110010101101100
31021122121202211102011
430200030312111230
5204443314003400
610100055211004
7653454550030
oct144014662554
937577684364
1013425141100
11576a162238
122728076a64
13135c4a6797
14914dd61c0
1553892e8ba
hex32033656c

13425141100 has 144 divisors (see below), whose sum is σ = 35177748480. Its totient is φ = 4349318400.

The previous prime is 13425141061. The next prime is 13425141131. The reversal of 13425141100 is 114152431.

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, 947065 + ... + 961135.

It is an arithmetic number, because the mean of its divisors is an integer number (244289920).

Almost surely, 213425141100 is an apocalyptic number.

13425141100 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 13425141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17588874240).

13425141100 is an abundant number, since it is smaller than the sum of its proper divisors (21752607380).

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

13425141100 is a wasteful number, since it uses less digits than its factorization.

13425141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14168 (or 14161 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 13425141100 its reverse (114152431), we get a palindrome (13539293531).

The spelling of 13425141100 in words is "thirteen billion, four hundred twenty-five million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 47 50 58 70 94 100 116 140 145 175 188 203 235 290 329 350 406 470 580 658 700 725 812 940 1015 1175 1316 1363 1450 1645 2030 2350 2726 2900 3290 4060 4700 5075 5452 6580 6815 8225 9541 10150 13630 14071 16450 19082 20300 27260 28142 32900 34075 38164 47705 56284 68150 70355 95410 98497 136300 140710 190820 196994 238525 281420 351775 393988 408059 477050 492485 661337 703550 816118 954100 984970 1322674 1407100 1632236 1969940 2040295 2462425 2645348 2856413 3306685 4080590 4629359 4924850 5712826 6613370 8161180 9258718 9849700 10201475 11425652 13226740 14282065 16533425 18517436 19178773 20402950 23146795 28564130 33066850 38357546 40805900 46293590 57128260 66133700 71410325 76715092 92587180 95893865 115733975 134251411 142820650 191787730 231467950 268502822 285641300 383575460 462935900 479469325 537005644 671257055 958938650 1342514110 1917877300 2685028220 3356285275 6712570550 13425141100