Search a number
-
+
10220011211112 = 233577738013519
BaseRepresentation
bin1001010010111000100000…
…1000110100100101101000
31100012000122011010210022220
42110232020020310211220
52314421040332223422
633423001444514040
72103241255650543
oct224561010644550
940160564123286
1010220011211112
11329031199131a
1211908590ab920
13591987279201
14274918bb385a
1512aca50e9e5c
hex94b88234968

10220011211112 has 32 divisors (see below), whose sum is σ = 25594308873600. Its totient is φ = 3400766290944.

The previous prime is 10220011211087. The next prime is 10220011211117. The reversal of 10220011211112 is 21111211002201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10220011211091 and 10220011211100.

It is not an unprimeable number, because it can be changed into a prime (10220011211117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368992912 + ... + 369020607.

It is an arithmetic number, because the mean of its divisors is an integer number (799822152300).

Almost surely, 210220011211112 is an apocalyptic number.

10220011211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220011211112 is an abundant number, since it is smaller than the sum of its proper divisors (15374297662488).

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

10220011211112 is a wasteful number, since it uses less digits than its factorization.

10220011211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738014105 (or 738014101 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10220011211112 its reverse (21111211002201), we get a palindrome (31331222213313).

The spelling of 10220011211112 in words is "ten trillion, two hundred twenty billion, eleven million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 577 1154 1731 2308 3462 4616 6924 13848 738013519 1476027038 2214040557 2952054076 4428081114 5904108152 8856162228 17712324456 425833800463 851667600926 1277501401389 1703335201852 2555002802778 3406670403704 5110005605556 10220011211112