Search a number
-
+
1322233321024 = 26711268310333
BaseRepresentation
bin10011001111011011001…
…111110101011001000000
311200101220201021011222101
4103033123033311121000
5133130413212233044
62451231532520144
7164346113534320
oct23173317653100
94611821234871
101322233321024
1146a83526a370
12194311320054
13978bc39c1b5
1447dd4303280
15245dac90cd4
hex133db3f5640

1322233321024 has 56 divisors (see below), whose sum is σ = 3271239592128. Its totient is φ = 515155837440.

The previous prime is 1322233321009. The next prime is 1322233321051. The reversal of 1322233321024 is 4201233322231.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1322233320983 and 1322233321001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134150239 + ... + 134160094.

Almost surely, 21322233321024 is an apocalyptic number.

1322233321024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1322233321024 is an abundant number, since it is smaller than the sum of its proper divisors (1949006271104).

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

1322233321024 is a wasteful number, since it uses less digits than its factorization.

1322233321024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268310363 (or 268310353 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1322233321024 its reverse (4201233322231), we get a palindrome (5523466643255).

The spelling of 1322233321024 in words is "one trillion, three hundred twenty-two billion, two hundred thirty-three million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 268310333 536620666 1073241332 1878172331 2146482664 2951413663 3756344662 4292965328 5902827326 7512689324 8585930656 11805654652 15025378648 17171861312 20659895641 23611309304 30050757296 41319791282 47222618608 60101514592 82639582564 94445237216 120203029184 165279165128 188890474432 330558330256 661116660512 1322233321024