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1103332233320 = 235291213784129
BaseRepresentation
bin10000000011100011101…
…110011101000001101000
310220110220010020202111122
4100003203232131001220
5121034111022431240
62202510330514412
7142466413146332
oct20034356350150
93813803222448
101103332233320
11395a14311229
121599bb895a08
1380075264c75
143b589c74452
151da782be4b5
hex100e3b9d068

1103332233320 has 64 divisors (see below), whose sum is σ = 2570221314000. Its totient is φ = 425762684928.

The previous prime is 1103332233319. The next prime is 1103332233329. The reversal of 1103332233320 is 233322333011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 287984636164 + 815347597156 = 536642^2 + 902966^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1103332233320.

It is not an unprimeable number, because it can be changed into a prime (1103332233329) 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 15 ways as a sum of consecutive naturals, for example, 1015016 + ... + 1799144.

Almost surely, 21103332233320 is an apocalyptic number.

1103332233320 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 1103332233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285110657000).

1103332233320 is an abundant number, since it is smaller than the sum of its proper divisors (1466889080680).

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

1103332233320 is a wasteful number, since it uses less digits than its factorization.

1103332233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785382 (or 785378 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 1103332233320 its reverse (233322333011), we get a palindrome (1336654566331).

The spelling of 1103332233320 in words is "one trillion, one hundred three billion, three hundred thirty-two million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1213 2426 4852 6065 9704 12130 24260 35177 48520 70354 140708 175885 281416 351770 703540 784129 1407080 1568258 3136516 3920645 6273032 7841290 15682580 22739741 31365160 45479482 90958964 113698705 181917928 227397410 454794820 909589640 951148477 1902296954 3804593908 4755742385 7609187816 9511484770 19022969540 27583305833 38045939080 55166611666 110333223332 137916529165 220666446664 275833058330 551666116660 1103332233320