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10211121020022 = 23132109233396509
BaseRepresentation
bin1001010010010111011000…
…1111011011110001110110
31100011011200120200021211020
42110211312033123301312
52314244333440120042
633414531345122010
72102505045404226
oct224456617336166
940134616607736
1010211121020022
11328756a68115a
12118ab97929306
13590b9b495300
142743141c4086
1512a9348ae3ec
hex949763dbc76

10211121020022 has 96 divisors (see below), whose sum is σ = 22412743610400. Its totient is φ = 3099690187776.

The previous prime is 10211121019951. The next prime is 10211121020029. The reversal of 10211121020022 is 22002012111201.

It is a junction number, because it is equal to n+sod(n) for n = 10211121019983 and 10211121020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211121020029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25554304 + ... + 25950812.

It is an arithmetic number, because the mean of its divisors is an integer number (233466079275).

Almost surely, 210211121020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211121020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11206371805200).

10211121020022 is an abundant number, since it is smaller than the sum of its proper divisors (12201622590378).

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

10211121020022 is a wasteful number, since it uses less digits than its factorization.

10211121020022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396882 (or 396869 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10211121020022 its reverse (22002012111201), we get a palindrome (32213133131223).

The spelling of 10211121020022 in words is "ten trillion, two hundred eleven billion, one hundred twenty-one million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 109 169 218 233 327 338 466 507 654 699 1014 1398 1417 2834 3029 4251 6058 8502 9087 18174 18421 25397 36842 39377 50794 55263 76191 78754 110526 118131 152382 236262 330161 396509 660322 793018 990483 1189527 1980966 2379054 4292093 5154617 8584186 10309234 12876279 15463851 25752558 30927702 43219481 67010021 86438962 92386597 129658443 134020042 184773194 201030063 259316886 277159791 402060126 554319582 561853253 1123706506 1201025761 1685559759 2402051522 3371119518 3603077283 7206154566 7304092289 10070139073 14608184578 15613334893 20140278146 21912276867 30210417219 31226669786 43824553734 46840004679 60420834438 93680009358 130911807949 261823615898 392735423847 785470847694 1701853503337 3403707006674 5105560510011 10211121020022