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2210021102112 = 253433491534021
BaseRepresentation
bin100000001010001111100…
…001011101001000100000
321211021110011121021020120
4200022033201131020200
5242202110400231422
64411134130040240
7315445245263145
oct40121741351040
97737404537216
102210021102112
117822a032a35a
122b8397719080
13130533a4b965
1478d738283cc
153c74b0cc45c
hex2028f85d220

2210021102112 has 96 divisors (see below), whose sum is σ = 5953232577600. Its totient is φ = 717479562240.

The previous prime is 2210021102111. The next prime is 2210021102137. The reversal of 2210021102112 is 2112011200122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2210021102091 and 2210021102100.

It is not an unprimeable number, because it can be changed into a prime (2210021102111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673662 + ... + 2207682.

It is an arithmetic number, because the mean of its divisors is an integer number (62012839350).

Almost surely, 22210021102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210021102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976616288800).

2210021102112 is an abundant number, since it is smaller than the sum of its proper divisors (3743211475488).

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

2210021102112 is a wasteful number, since it uses less digits than its factorization.

2210021102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534426 (or 1534418 counting only the distinct ones).

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

Adding to 2210021102112 its reverse (2112011200122), we get a palindrome (4322032302234).

The spelling of 2210021102112 in words is "two trillion, two hundred ten billion, twenty-one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 349 516 688 698 1032 1047 1376 1396 2064 2094 2792 4128 4188 5584 8376 11168 15007 16752 30014 33504 45021 60028 90042 120056 180084 240112 360168 480224 720336 1440672 1534021 3068042 4602063 6136084 9204126 12272168 18408252 24544336 36816504 49088672 65962903 73633008 131925806 147266016 197888709 263851612 395777418 527703224 535373329 791554836 1055406448 1070746658 1583109672 1606119987 2110812896 2141493316 3166219344 3212239974 4282986632 6332438688 6424479948 8565973264 12848959896 17131946528 23021053147 25697919792 46042106294 51395839584 69063159441 92084212588 138126318882 184168425176 276252637764 368336850352 552505275528 736673700704 1105010551056 2210021102112