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2235131052100 = 2252131227751633
BaseRepresentation
bin100000100001101000001…
…100010100000001000100
321220200021010101220002021
4200201220030110001010
5243110022022131400
64430445515252524
7320324426320342
oct40415014240104
97820233356067
102235131052100
11791a06233441
12301224a4a144
13132a05ca082b
147a276632992
153d21a76c71a
hex20868314044

2235131052100 has 72 divisors (see below), whose sum is σ = 4908795379488. Its totient is φ = 883317926400.

The previous prime is 2235131052097. The next prime is 2235131052127. The reversal of 2235131052100 is 12501315322.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2597884 + ... + 3349516.

It is an arithmetic number, because the mean of its divisors is an integer number (68177713604).

Almost surely, 22235131052100 is an apocalyptic number.

2235131052100 is a gapful number since it is divisible by the number (20) 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 2235131052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454397689744).

2235131052100 is an abundant number, since it is smaller than the sum of its proper divisors (2673664327388).

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

2235131052100 is a wasteful number, since it uses less digits than its factorization.

2235131052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752005 (or 751998 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 2235131052100 its reverse (12501315322), we get a palindrome (2247632367422).

The spelling of 2235131052100 in words is "two trillion, two hundred thirty-five billion, one hundred thirty-one million, fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 227 262 454 524 655 908 1135 1310 2270 2620 3275 4540 5675 6550 11350 13100 22700 29737 59474 118948 148685 297370 594740 743425 751633 1486850 1503266 2973700 3006532 3758165 7516330 15032660 18790825 37581650 75163300 98463923 170620691 196927846 341241382 393855692 492319615 682482764 853103455 984639230 1706206910 1969278460 2461598075 3412413820 4265517275 4923196150 8531034550 9846392300 17062069100 22351310521 44702621042 89405242084 111756552605 223513105210 447026210420 558782763025 1117565526050 2235131052100