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1220114441104 = 241317345054989
BaseRepresentation
bin10001110000010100011…
…111001110001110010000
311022122022212120120220121
4101300110133032032100
5124442243244103404
62332302434520024
7154102400426326
oct21602437161620
94278285516817
101220114441104
114304a1880439
12178571a36014
138b0968c1270
14430a7abdd16
1521b10a0ee54
hex11c147ce390

1220114441104 has 40 divisors (see below), whose sum is σ = 2695569581880. Its totient is φ = 530004461568.

The previous prime is 1220114441099. The next prime is 1220114441107. The reversal of 1220114441104 is 4011444110221.

It can be written as a sum of positive squares in 4 ways, for example, as 309056400 + 1219805384704 = 17580^2 + 1104448^2 .

It is not an unprimeable number, because it can be changed into a prime (1220114441107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172523959 + ... + 172531030.

It is an arithmetic number, because the mean of its divisors is an integer number (67389239547).

Almost surely, 21220114441104 is an apocalyptic number.

It is an amenable number.

1220114441104 is an abundant number, since it is smaller than the sum of its proper divisors (1475455140776).

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

1220114441104 is a wasteful number, since it uses less digits than its factorization.

1220114441104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345055027 (or 345055021 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 1220114441104 its reverse (4011444110221), we get a palindrome (5231558551325).

The spelling of 1220114441104 in words is "one trillion, two hundred twenty billion, one hundred fourteen million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 345054989 690109978 1380219956 2760439912 4485714857 5520879824 5865934813 8971429714 11731869626 17942859428 23463739252 35885718856 46927478504 71771437712 76257152569 93854957008 152514305138 305028610276 610057220552 1220114441104