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2120211287106 = 23111072711107853
BaseRepresentation
bin11110110110100110011…
…100001100110001000010
321111200122011120221212220
4132312212130030301002
5234214143042141411
64302002302031510
7306115545404613
oct36664634146102
97450564527786
102120211287106
117481a3aa8050
122a2ab2578596
13124c204583a3
1474893cb5c0a
153a2417bbb06
hex1eda670cc42

2120211287106 has 64 divisors (see below), whose sum is σ = 4686381950976. Its totient is φ = 634134484800.

The previous prime is 2120211287099. The next prime is 2120211287111. The reversal of 2120211287106 is 6017821120212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1359876 + ... + 2467728.

It is an arithmetic number, because the mean of its divisors is an integer number (73224717984).

Almost surely, 22120211287106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120211287106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343190975488).

2120211287106 is an abundant number, since it is smaller than the sum of its proper divisors (2566170663870).

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

2120211287106 is a wasteful number, since it uses less digits than its factorization.

2120211287106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108247.

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 2120211287106 in words is "two trillion, one hundred twenty billion, two hundred eleven million, two hundred eighty-seven thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 107 214 271 321 542 642 813 1177 1626 2354 2981 3531 5962 7062 8943 17886 28997 57994 86991 173982 318967 637934 956901 1107853 1913802 2215706 3323559 6647118 12186383 24372766 36559149 73118298 118540271 237080542 300228163 355620813 600456326 711241626 900684489 1303942981 1801368978 2607885962 3302509793 3911828943 6605019586 7823657886 9907529379 19815058758 32124413441 64248826882 96373240323 192746480646 353368547851 706737095702 1060105643553 2120211287106