Search a number
-
+
2201110002102 = 2311237279832029
BaseRepresentation
bin100000000001111100011…
…000010011100110110110
321210102110010210111002110
4200001330120103212312
5242030333130031402
64403102002151450
7315011362213554
oct40017430234666
97712403714073
102201110002102
11779538238aa0
122b670b352586
1312c743826a0b
147876a154bd4
153c3c8b1156c
hex2007c6139b6

2201110002102 has 128 divisors (see below), whose sum is σ = 5025696399360. Its totient is φ = 636163482240.

The previous prime is 2201110002061. The next prime is 2201110002109. The reversal of 2201110002102 is 2012000111022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201110002109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1084824024 + ... + 1084826052.

It is an arithmetic number, because the mean of its divisors is an integer number (39263253120).

Almost surely, 22201110002102 is an apocalyptic number.

2201110002102 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 2201110002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512848199680).

2201110002102 is an abundant number, since it is smaller than the sum of its proper divisors (2824586397258).

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

2201110002102 is a wasteful number, since it uses less digits than its factorization.

2201110002102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2201110002102 its reverse (2012000111022), we get a palindrome (4213110113124).

The spelling of 2201110002102 in words is "two trillion, two hundred one billion, one hundred ten million, two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 727 759 983 1454 1518 1966 2029 2181 2949 4058 4362 5898 6087 7997 10813 12174 15994 16721 21626 22319 22609 23991 32439 33442 44638 45218 46667 47982 50163 64878 66957 67827 93334 100326 133914 135654 140001 183931 248699 280002 367862 497398 513337 551793 714641 746097 1026674 1103586 1429282 1475083 1492194 1540011 1994507 2143923 2950166 3080022 3989014 4287846 4425249 5983521 7861051 8850498 11967042 15722102 16225913 16436743 21939577 23583153 32451826 32873486 33926909 43879154 45873661 47166306 48677739 49310229 65818731 67853818 91747322 97355478 98620458 101780727 131637462 137620983 180804173 203561454 275241966 361608346 373195999 504610271 542412519 746391998 1009220542 1084825038 1119587997 1450006589 1513830813 2239175994 2900013178 3027661626 4350019767 8700039534 15950072479 31900144958 33350151547 47850217437 66700303094 95700434874 100050454641 200100909282 366851667017 733703334034 1100555001051 2201110002102