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311400221142100 = 225217952333263213
BaseRepresentation
bin100011011001101111000001…
…1100100000110110001010100
31111211120120101211021211002111
41012303132003210012301110
5311303440123103021400
63022143141531520404
7122406631526355526
oct10663360344066124
91454516354254074
10311400221142100
11902491017140a2
122ab13547bb9104
131049abb7c146cc
1456c7bcb697a16
15260037b0453ba
hex11b3783906c54

311400221142100 has 72 divisors (see below), whose sum is σ = 680812836752160. Its totient is φ = 123627384247680.

The previous prime is 311400221142097. The next prime is 311400221142107. The reversal of 311400221142100 is 1241122004113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311400221142107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7269907 + ... + 25993306.

It is an arithmetic number, because the mean of its divisors is an integer number (9455733843780).

Almost surely, 2311400221142100 is an apocalyptic number.

It is an amenable number.

311400221142100 is an abundant number, since it is smaller than the sum of its proper divisors (369412615610060).

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

311400221142100 is a wasteful number, since it uses less digits than its factorization.

311400221142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33263929 (or 33263922 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 311400221142100 its reverse (1241122004113), we get a palindrome (312641343146213).

The spelling of 311400221142100 in words is "three hundred eleven trillion, four hundred billion, two hundred twenty-one million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 523 716 895 1046 1790 2092 2615 3580 4475 5230 8950 10460 13075 17900 26150 52300 93617 187234 374468 468085 936170 1872340 2340425 4680850 9361700 33263213 66526426 133052852 166316065 332632130 665264260 831580325 1663160650 3326321300 5954115127 11908230254 17396660399 23816460508 29770575635 34793320798 59541151270 69586641596 86983301995 119082302540 148852878175 173966603990 297705756350 347933207980 434916509975 595411512700 869833019950 1739666039900 3114002211421 6228004422842 12456008845684 15570011057105 31140022114210 62280044228420 77850055285525 155700110571050 311400221142100