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1002000322230 = 235376764121019
BaseRepresentation
bin11101001010010111101…
…11111000111010110110
310112210100010101022201120
432211023313320322312
5112404044040302410
62044151304204410
7132251334132165
oct16451367707266
93483303338646
101002000322230
11356a45072666
1214223ba69706
137364682676b
14366d5d873dc
151b0e718e570
hexe94bdf8eb6

1002000322230 has 128 divisors (see below), whose sum is σ = 2510687992320. Its totient is φ = 255686492160.

The previous prime is 1002000322229. The next prime is 1002000322261. The reversal of 1002000322230 is 322230002001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47660661 + ... + 47681679.

It is an arithmetic number, because the mean of its divisors is an integer number (19614749940).

Almost surely, 21002000322230 is an apocalyptic number.

1002000322230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002000322230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255343996160).

1002000322230 is an abundant number, since it is smaller than the sum of its proper divisors (1508687670090).

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

1002000322230 is a wasteful number, since it uses less digits than its factorization.

1002000322230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21774.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1002000322230 its reverse (322230002001), we get a palindrome (1324230324231).

The spelling of 1002000322230 in words is "one trillion, two billion, three hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 67 74 111 134 185 201 222 335 370 402 555 641 670 1005 1110 1282 1923 2010 2479 3205 3846 4958 6410 7437 9615 12395 14874 19230 21019 23717 24790 37185 42038 42947 47434 63057 71151 74370 85894 105095 118585 126114 128841 142302 210190 214735 237170 257682 315285 355755 429470 630570 644205 711510 777703 1288410 1408273 1555406 1589039 2333109 2816546 3178078 3888515 4224819 4666218 4767117 7041365 7777030 7945195 8449638 9534234 11665545 13473179 14082730 15890390 21124095 23331090 23835585 26946358 40419537 42248190 47671170 52106101 67365895 80839074 104212202 134731790 156318303 202097685 260530505 312636606 404195370 498507623 521061010 781591515 902702993 997015246 1495522869 1563183030 1805405986 2492538115 2708108979 2991045738 4513514965 4985076230 5416217958 7477614345 9027029930 13540544895 14955228690 27081089790 33400010741 66800021482 100200032223 167000053705 200400064446 334000107410 501000161115 1002000322230