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2120211232321 = 7131929412574013
BaseRepresentation
bin11110110110100110011…
…011111111011001000001
321111200122011111011201211
4132312212123333121001
5234214143033413241
64302002300530121
7306115545056110
oct36664633773101
97450564434654
102120211232321
117481a3a6a976
122a2ab2550941
13124c20439480
1474893c9dc77
153a2417aa781
hex1eda66ff641

2120211232321 has 128 divisors (see below), whose sum is σ = 2922911308800. Its totient is φ = 1490815549440.

The previous prime is 2120211232309. The next prime is 2120211232361. The reversal of 2120211232321 is 1232321120212.

It is not a de Polignac number, because 2120211232321 - 27 = 2120211232193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120211232292 and 2120211232301.

It is not an unprimeable number, because it can be changed into a prime (2120211232361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 528333711 + ... + 528337723.

It is an arithmetic number, because the mean of its divisors is an integer number (22835244600).

Almost surely, 22120211232321 is an apocalyptic number.

It is an amenable number.

2120211232321 is a deficient number, since it is larger than the sum of its proper divisors (802700076479).

2120211232321 is a wasteful number, since it uses less digits than its factorization.

2120211232321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2120211232321 its reverse (1232321120212), we get a palindrome (3352532352533).

It can be divided in two parts, 2120211 and 232321, that added together give a palindrome (2352532).

The spelling of 2120211232321 in words is "two trillion, one hundred twenty billion, two hundred eleven million, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 7 13 19 29 41 91 133 203 247 257 287 377 533 551 779 1189 1729 1799 2639 3341 3731 3857 4013 4883 5453 7163 7453 8323 10127 10537 15457 22591 23387 28091 34181 50141 52169 52171 63479 70889 73759 76247 96889 108199 116377 136981 141607 158137 164533 200203 293683 305573 365183 444353 533729 678223 814639 958867 991211 991249 1031341 1151731 1401421 1512901 1840891 2055781 2138929 2139011 2211163 2602639 3126127 3972449 4771457 5805887 6938477 7219387 10590307 12886237 13407433 14972503 15478141 18218473 19595479 21882889 27807143 28745119 29908889 33400199 40639651 40641209 42284981 62028941 75476531 90657683 93852031 137168353 201215833 209362223 254741227 284477557 295994867 388815557 434202587 528335717 549704753 568268891 634603781 803414639 1178549879 1226264449 1783188589 2721708899 3847933271 3977882237 5623902473 7387495583 8249849153 8583851143 10444390307 15941437837 23299024531 51712469081 73110732149 111590064859 163093171717 302887318903 2120211232321