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10323440300 = 2252293796211
BaseRepresentation
bin10011001110101001…
…10011001010101100
3222122110101002210202
421213110303022230
5132120300042200
64424215053032
7513552536405
oct114724631254
928573332722
1010323440300
114418349548
122001371178
13c86a04574
146dd0b89ac
1540649c1d5
hex2675332ac

10323440300 has 72 divisors (see below), whose sum is σ = 23800924560. Its totient is φ = 3879187200.

The previous prime is 10323440299. The next prime is 10323440353. The reversal of 10323440300 is 304432301.

10323440300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 59195 + ... + 155405.

Almost surely, 210323440300 is an apocalyptic number.

10323440300 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 10323440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11900462280).

10323440300 is an abundant number, since it is smaller than the sum of its proper divisors (13477484260).

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

10323440300 is a wasteful number, since it uses less digits than its factorization.

10323440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96291 (or 96284 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10323440300 its reverse (304432301), we get a palindrome (10627872601).

The spelling of 10323440300 in words is "ten billion, three hundred twenty-three million, four hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 37 50 58 74 100 116 145 148 185 290 370 580 725 740 925 1073 1450 1850 2146 2900 3700 4292 5365 10730 21460 26825 53650 96211 107300 192422 384844 481055 962110 1924220 2405275 2790119 3559807 4810550 5580238 7119614 9621100 11160476 13950595 14239228 17799035 27901190 35598070 55802380 69752975 71196140 88995175 103234403 139505950 177990350 206468806 279011900 355980700 412937612 516172015 1032344030 2064688060 2580860075 5161720150 10323440300