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3424033131100 = 22522353151186019
BaseRepresentation
bin110001110100111000010…
…001110100101001011100
3110010100000202102012110121
4301310320101310221130
5422044404440143400
611140551253044324
7502243506254521
oct61647021645134
913110022365417
103424033131100
11110014049019a
124737259266a4
131bab6729777a
14bba1cc7b148
155e100ec521a
hex31d38474a5c

3424033131100 has 144 divisors (see below), whose sum is σ = 7951846049280. Its totient is φ = 1276827552000.

The previous prime is 3424033131061. The next prime is 3424033131133. The reversal of 3424033131100 is 11313304243.

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

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, 18313891 + ... + 18499909.

It is an arithmetic number, because the mean of its divisors is an integer number (55221153120).

Almost surely, 23424033131100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424033131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975923024640).

3424033131100 is an abundant number, since it is smaller than the sum of its proper divisors (4527812918180).

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

3424033131100 is a wasteful number, since it uses less digits than its factorization.

3424033131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186260 (or 186253 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 3424033131100 its reverse (11313304243), we get a palindrome (3435346435343).

The spelling of 3424033131100 in words is "three trillion, four hundred twenty-four billion, thirty-three million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 53 92 100 106 115 151 212 230 265 302 460 530 575 604 755 1060 1150 1219 1325 1510 2300 2438 2650 3020 3473 3775 4876 5300 6095 6946 7550 8003 12190 13892 15100 16006 17365 24380 30475 32012 34730 40015 60950 69460 80030 86825 121900 160060 173650 184069 186019 200075 347300 368138 372038 400150 736276 744076 800300 920345 930095 1840690 1860190 3681380 3720380 4278437 4601725 4650475 8556874 9203450 9300950 9859007 17113748 18406900 18601900 19718014 21392185 28088869 39436028 42784370 49295035 56177738 85568740 98590070 106960925 112355476 140444345 197180140 213921850 226757161 246475175 280888690 427843700 453514322 492950350 561777380 646043987 702221725 907028644 985900700 1133785805 1292087974 1404443450 1488710057 2267571610 2584175948 2808886900 2977420114 3230219935 4535143220 5668929025 5954840228 6460439870 7443550285 11337858050 12920879740 14887100570 16151099675 22675716100 29774201140 32302199350 34240331311 37217751425 64604398700 68480662622 74435502850 136961325244 148871005700 171201656555 342403313110 684806626220 856008282775 1712016565550 3424033131100