Search a number
-
+
21213312222030 = 2357364170121557
BaseRepresentation
bin1001101001011000110111…
…11100001000001101001110
32210002222021012110120012120
410310230123330020031032
510240024330412101110
6113041132221513410
74316416436524605
oct464543374101516
983088235416176
1021213312222030
1168395737a0615
122467347412866
13bab53985a2a6
14534a30786a3c
1526bc185e8870
hex134b1bf0834e

21213312222030 has 128 divisors (see below), whose sum is σ = 51766025740416. Its totient is φ = 5562482688000.

The previous prime is 21213312222007. The next prime is 21213312222061. The reversal of 21213312222030 is 3022221331212.

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, 984046012 + ... + 984067568.

It is an arithmetic number, because the mean of its divisors is an integer number (404422076097).

Almost surely, 221213312222030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213312222030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25883012870208).

21213312222030 is an abundant number, since it is smaller than the sum of its proper divisors (30552713518386).

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

21213312222030 is a wasteful number, since it uses less digits than its factorization.

21213312222030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22982.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21213312222030 its reverse (3022221331212), we get a palindrome (24235533553242).

The spelling of 21213312222030 in words is "twenty-one trillion, two hundred thirteen billion, three hundred twelve million, two hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 641 701 730 1095 1282 1402 1923 2103 2190 3205 3505 3846 4206 6410 7010 9615 10515 19230 21030 21557 43114 46793 51173 64671 93586 102346 107785 129342 140379 153519 215570 233965 255865 280758 307038 323355 449341 467930 511730 646710 701895 767595 898682 1348023 1403790 1535190 1573661 2246705 2696046 3147322 4493410 4720983 6740115 7868305 9441966 13480230 13818037 15111457 15736610 23604915 27636074 30222914 32801893 41454111 45334371 47209830 65603786 69090185 75557285 82908222 90668742 98405679 138180370 151114570 164009465 196811358 207270555 226671855 328018930 414541110 453343710 492028395 984056790 1008716701 1103136361 2017433402 2206272722 3026150103 3309409083 5043583505 5515681805 6052300206 6618818166 9686443937 10087167010 11031363610 15130750515 16547045415 19372887874 29059331811 30261501030 33094090830 48432219685 58118663622 96864439370 145296659055 290593318110 707110407401 1414220814802 2121331222203 3535552037005 4242662444406 7071104074010 10606656111015 21213312222030