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3423111322500 = 223254152138281
BaseRepresentation
bin110001110100000001010…
…101011001101110000100
3110010020122111212110210100
4301310001111121232010
5422041012444310000
611140320003324100
7502211614105062
oct61640125315604
913106574773710
103423111322500
1110aa808112801
12473509080630
131baa4b3066ac
14bb972685032
155e09a0dba00
hex31d01559b84

3423111322500 has 90 divisors (see below), whose sum is σ = 10812619840022. Its totient is φ = 912829680000.

The previous prime is 3423111322493. The next prime is 3423111322507. The reversal of 3423111322500 is 52231113243.

3423111322500 is a `hidden beast` number, since 3 + 4 + 23 + 1 + 1 + 132 + 2 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (3423111322493) and next prime (3423111322507).

It can be written as a sum of positive squares in 5 ways, for example, as 2354579767296 + 1068531555204 = 1534464^2 + 1033698^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×34231113225002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3423111322507) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 76046641 + ... + 76091640.

Almost surely, 23423111322500 is an apocalyptic number.

3423111322500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3423111322500 is an abundant number, since it is smaller than the sum of its proper divisors (7389508517522).

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

3423111322500 is a wasteful number, since it uses less digits than its factorization.

3423111322500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152138311 (or 152138291 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 3423111322500 its reverse (52231113243), we get a palindrome (3475342435743).

The spelling of 3423111322500 in words is "three trillion, four hundred twenty-three billion, one hundred eleven million, three hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 22500 152138281 304276562 456414843 608553124 760691405 912829686 1369244529 1521382810 1825659372 2282074215 2738489058 3042765620 3803457025 4564148430 5476978116 6846222645 7606914050 9128296860 11410371075 13692445290 15213828100 19017285125 22820742150 27384890580 34231113225 38034570250 45641484300 57051855375 68462226450 76069140500 95086425625 114103710750 136924452900 171155566125 190172851250 228207421500 285259276875 342311132250 380345702500 570518553750 684622264500 855777830625 1141037107500 1711555661250 3423111322500