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10022201011212 = 223131910933792051
BaseRepresentation
bin1001000111010111100110…
…1110110010110000001100
31022111010001102100110211220
42101311321232302300030
52303200431424324322
633152045141443340
72053036325001435
oct221657156626014
938433042313756
1010022201011212
113214434213375
12115a452a10550
13579121829b50
1426911187648c
15125a7902a55c
hex91d79bb2c0c

10022201011212 has 192 divisors, whose sum is σ = 26832347942400. Its totient is φ = 2886028185600.

The previous prime is 10022201011171. The next prime is 10022201011247. The reversal of 10022201011212 is 21211010222001.

10022201011212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10022201011191 and 10022201011200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108830587 + ... + 108922637.

It is an arithmetic number, because the mean of its divisors is an integer number (139751812200).

Almost surely, 210022201011212 is an apocalyptic number.

10022201011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022201011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416173971200).

10022201011212 is an abundant number, since it is smaller than the sum of its proper divisors (16810146931188).

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

10022201011212 is a wasteful number, since it uses less digits than its factorization.

10022201011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92536 (or 92534 counting only the distinct ones).

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

Adding to 10022201011212 its reverse (21211010222001), we get a palindrome (31233211233213).

The spelling of 10022201011212 in words is "ten trillion, twenty-two billion, two hundred one million, eleven thousand, two hundred twelve".