Search a number
-
+
2221130313402 = 2371113457809231
BaseRepresentation
bin100000010100100101101…
…011101110111010111010
321212100010101112200012120
4200110211223232322322
5242342333330012102
64420212335022110
7316320452104230
oct40244553567272
97770111480176
102221130313402
11786a81180210
122ba57806a936
131315b4493670
1479709006950
153cb9b5406bc
hex20525aeeeba

2221130313402 has 128 divisors (see below), whose sum is σ = 5977492512768. Its totient is φ = 531372787200.

The previous prime is 2221130313397. The next prime is 2221130313421. The reversal of 2221130313402 is 2043130311222.

It is a super-2 number, since 2×22211303134022 (a number of 25 digits) contains 22 as substring.

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, 2340127 + ... + 3149357.

It is an arithmetic number, because the mean of its divisors is an integer number (46699160256).

Almost surely, 22221130313402 is an apocalyptic number.

2221130313402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221130313402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988746256384).

2221130313402 is an abundant number, since it is smaller than the sum of its proper divisors (3756362199366).

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

2221130313402 is a wasteful number, since it uses less digits than its factorization.

2221130313402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809724.

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

Adding to 2221130313402 its reverse (2043130311222), we get a palindrome (4264260624624).

The spelling of 2221130313402 in words is "two trillion, two hundred twenty-one billion, one hundred thirty million, three hundred thirteen thousand, four hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 457 462 546 858 914 1001 1371 2002 2742 3003 3199 5027 5941 6006 6398 9597 10054 11882 15081 17823 19194 30162 35189 35646 41587 65351 70378 83174 105567 124761 130702 196053 211134 249522 392106 457457 809231 914914 1372371 1618462 2427693 2744742 4855386 5664617 8901541 10520003 11329234 16993851 17803082 21040006 26704623 31560009 33987702 53409246 62310787 63120018 73640021 115720033 124621574 147280042 186932361 220920063 231440066 347160099 369818567 373864722 441840126 694320198 739637134 810040231 1109455701 1620080462 2218911402 2430120693 2588729969 4068004237 4807641371 4860241386 5177459938 7766189907 8136008474 9615282742 12204012711 14422924113 15532379814 24408025422 28476029659 28845848226 33653489597 52884055081 56952059318 67306979194 85428088977 100960468791 105768110162 158652165243 170856177954 201920937582 317304330486 370188385567 740376771134 1110565156701 2221130313402