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3122103021201 = 3229617310126597
BaseRepresentation
bin101101011011101011110…
…101110110111010010001
3102001110200201122102200200
4231123223311312322101
5402123031333134301
610350135131005413
7441364423545453
oct55335365667221
912043621572620
103122103021201
11aa409284284a
12425101b99869
1319854a6222c8
14ab1796742d3
155632e15bc86
hex2d6ebd76e91

3122103021201 has 96 divisors (see below), whose sum is σ = 4854418002720. Its totient is φ = 1930231296000.

The previous prime is 3122103021197. The next prime is 3122103021211. The reversal of 3122103021201 is 1021203012213.

3122103021201 is a `hidden beast` number, since 31 + 2 + 210 + 302 + 120 + 1 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 46993568400 + 3075109452801 = 216780^2 + 1753599^2 .

It is not a de Polignac number, because 3122103021201 - 22 = 3122103021197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3122103021211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117372235 + ... + 117398831.

It is an arithmetic number, because the mean of its divisors is an integer number (50566854195).

Almost surely, 23122103021201 is an apocalyptic number.

It is an amenable number.

3122103021201 is a deficient number, since it is larger than the sum of its proper divisors (1732314981519).

3122103021201 is a wasteful number, since it uses less digits than its factorization.

3122103021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26867 (or 26864 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3122103021201 its reverse (1021203012213), we get a palindrome (4143306033414).

The spelling of 3122103021201 in words is "three trillion, one hundred twenty-two billion, one hundred three million, twenty-one thousand, two hundred one".

Divisors: 1 3 9 29 61 73 87 101 183 219 261 303 549 657 909 1769 2117 2929 4453 5307 6161 6351 7373 8787 13359 15921 18483 19053 22119 26361 26597 40077 55449 66357 79791 129137 178669 213817 239373 387411 449753 536007 641451 771313 1162233 1349259 1608021 1622417 1924353 1941581 2313939 2686297 4047777 4867251 5824743 6941817 8058891 13042837 14601753 17474229 24176673 39128511 47050093 56305849 77902613 117385533 118436441 141150279 163864117 168917547 196099681 233707839 355309323 423450837 491592351 506752641 588299043 701123517 1065927969 1474777053 1764897129 3434656789 4752059393 5686890749 10303970367 11962080541 14256178179 17060672247 30911911101 35886241623 42768534537 51182016741 107658724869 346900335689 1040701007067 3122103021201