Search a number
-
+
1022321003130 = 2325710116066651
BaseRepresentation
bin11101110000001110001…
…01001000101001111010
310121201210022022212110200
432320013011020221322
5113222203134100010
62101351531023030
7133601032101630
oct16700705105172
93551708285420
101022321003130
11364622610a19
1214617129aa76
13755347904bb
14376a2aa7350
151b8d6151cc0
hexee07148a7a

1022321003130 has 96 divisors (see below), whose sum is σ = 3067830799488. Its totient is φ = 231359760000.

The previous prime is 1022321003117. The next prime is 1022321003239. The reversal of 1022321003130 is 313001232201.

1022321003130 is a `hidden beast` number, since 10 + 22 + 321 + 0 + 0 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7969696 + ... + 8096955.

It is an arithmetic number, because the mean of its divisors is an integer number (31956570828).

Almost surely, 21022321003130 is an apocalyptic number.

1022321003130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022321003130 is an abundant number, since it is smaller than the sum of its proper divisors (2045509796358).

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

1022321003130 is a wasteful number, since it uses less digits than its factorization.

1022321003130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16066772 (or 16066769 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1022321003130 its reverse (313001232201), we get a palindrome (1335322235331).

The spelling of 1022321003130 in words is "one trillion, twenty-two billion, three hundred twenty-one million, three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 101 105 126 202 210 303 315 505 606 630 707 909 1010 1414 1515 1818 2121 3030 3535 4242 4545 6363 7070 9090 10605 12726 21210 31815 63630 16066651 32133302 48199953 80333255 96399906 112466557 144599859 160666510 224933114 240999765 289199718 337399671 481999530 562332785 674799342 722999295 1012199013 1124665570 1445998590 1622731751 1686998355 2024398026 3245463502 3373996710 4868195253 5060995065 8113658755 9736390506 10121990130 11359122257 14604585759 16227317510 22718244514 24340976265 29209171518 34077366771 48681952530 56795611285 68154733542 73022928795 102232100313 113591222570 146045857590 170386833855 204464200626 340773667710 511160501565 1022321003130