Search a number
-
+
1323213033100 = 225278322774751
BaseRepresentation
bin10011010000010101101…
…001001000111010001100
311200111102222202201021211
4103100111221020322030
5133134420014024400
62451513051304204
7164412311126620
oct23202551107214
94614388681254
101323213033100
11470198296572
1219454544b064
1397a17354b9a
144808848d180
1524646cb5dba
hex13415a48e8c

1323213033100 has 72 divisors (see below), whose sum is σ = 3321105435648. Its totient is φ = 448207080000.

The previous prime is 1323213033071. The next prime is 1323213033101. The reversal of 1323213033100 is 13303123231.

It is a super-2 number, since 2×13232130331002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1323213033101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11329276 + ... + 11445475.

It is an arithmetic number, because the mean of its divisors is an integer number (46126464384).

Almost surely, 21323213033100 is an apocalyptic number.

1323213033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323213033100 is an abundant number, since it is smaller than the sum of its proper divisors (1997892402548).

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

1323213033100 is a wasteful number, since it uses less digits than its factorization.

1323213033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22774855 (or 22774848 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1323213033100 its reverse (13303123231), we get a palindrome (1336516156331).

The spelling of 1323213033100 in words is "one trillion, three hundred twenty-three billion, two hundred thirteen million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 332 350 415 581 700 830 1162 1660 2075 2324 2905 4150 5810 8300 11620 14525 29050 58100 22774751 45549502 91099004 113873755 159423257 227747510 318846514 455495020 569368775 637693028 797116285 1138737550 1594232570 1890304333 2277475100 3188465140 3780608666 3985581425 7561217332 7971162850 9451521665 13232130331 15942325700 18903043330 26464260662 37806086660 47257608325 52928521324 66160651655 94515216650 132321303310 189030433300 264642606620 330803258275 661606516550 1323213033100