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21202022112 = 253127213693
BaseRepresentation
bin10011101111101111…
…010010111011100000
32000201121100022121020
4103233233102323200
5321410204201422
613423504525440
71350256133355
oct235757227340
960647308536
1021202022112
118a9aa97027
124138620880
131ccb72961b
141051bc062c
1584155595c
hex4efbd2ee0

21202022112 has 72 divisors (see below), whose sum is σ = 56101086216. Its totient is φ = 7011180288.

The previous prime is 21202022071. The next prime is 21202022117. The reversal of 21202022112 is 21122020212.

Adding to 21202022112 its reverse (21122020212), we get a palindrome (42324042324).

It is a junction number, because it is equal to n+sod(n) for n = 21202022091 and 21202022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202022117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1541538 + ... + 1555230.

It is an arithmetic number, because the mean of its divisors is an integer number (779181753).

Almost surely, 221202022112 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 21202022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28050543108).

21202022112 is an abundant number, since it is smaller than the sum of its proper divisors (34899064104).

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

21202022112 is a wasteful number, since it uses less digits than its factorization.

21202022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13960 (or 13825 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The spelling of 21202022112 in words is "twenty-one billion, two hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 13693 16129 27386 32258 41079 48387 54772 64516 82158 96774 109544 129032 164316 193548 219088 258064 328632 387096 438176 516128 657264 774192 1314528 1548384 1739011 3478022 5217033 6956044 10434066 13912088 20868132 27824176 41736264 55648352 83472528 166945056 220854397 441708794 662563191 883417588 1325126382 1766835176 2650252764 3533670352 5300505528 7067340704 10601011056 21202022112