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1132222122320 = 24589990116061
BaseRepresentation
bin10000011110011101101…
…100101000100101010000
311000020110111200011212112
4100132131230220211100
5122022242330403240
62224045145244452
7144541343151062
oct20363554504520
94006414604775
101132222122320
113a7199964453
12163522a93728
13829ca649143
143cb2aaab732
151e6b9716665
hex1079db28950

1132222122320 has 80 divisors (see below), whose sum is σ = 2662428767760. Its totient is φ = 447727104000.

The previous prime is 1132222122313. The next prime is 1132222122403. The reversal of 1132222122320 is 232212222311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 90899838016 + 1041322284304 = 301496^2 + 1020452^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70487090 + ... + 70503150.

It is an arithmetic number, because the mean of its divisors is an integer number (33280359597).

Almost surely, 21132222122320 is an apocalyptic number.

1132222122320 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 1132222122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331214383880).

1132222122320 is an abundant number, since it is smaller than the sum of its proper divisors (1530206645440).

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

1132222122320 is a wasteful number, since it uses less digits than its factorization.

1132222122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26064 (or 26058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1132222122320 its reverse (232212222311), we get a palindrome (1364434344631).

Subtracting from 1132222122320 its reverse (232212222311), we obtain a palindrome (900009900009).

The spelling of 1132222122320 in words is "one trillion, one hundred thirty-two billion, two hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 9901 16061 19802 32122 39604 49505 64244 79208 80305 99010 128488 158416 160610 198020 256976 321220 396040 642440 792080 881189 1284880 1429429 1762378 2858858 3524756 4405945 5717716 7049512 7147145 8811890 11435432 14099024 14294290 17623780 22870864 28588580 35247560 57177160 70495120 114354320 159019961 318039922 636079844 795099805 1272159688 1590199610 2544319376 3180399220 6360798440 12721596880 14152776529 28305553058 56611106116 70763882645 113222212232 141527765290 226444424464 283055530580 566111061160 1132222122320