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10011211220 = 2252923937213
BaseRepresentation
bin10010101001011011…
…01111010111010100
3221211200212020000202
421110231233113110
5131000332224340
64333223000032
7503041614503
oct112455572724
927750766022
1010011211220
11427808218a
121b34899018
13c3711442a
146ad84083a
153d8d74c15
hex254b6f5d4

10011211220 has 48 divisors (see below), whose sum is σ = 21760598160. Its totient is φ = 3864247296.

The previous prime is 10011211193. The next prime is 10011211241. The reversal of 10011211220 is 2211211001.

It can be written as a sum of positive squares in 8 ways, for example, as 395055376 + 9616155844 = 19876^2 + 98062^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384334 + ... + 1391546.

It is an arithmetic number, because the mean of its divisors is an integer number (453345795).

Almost surely, 210011211220 is an apocalyptic number.

10011211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011211220 is an abundant number, since it is smaller than the sum of its proper divisors (11749386940).

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

10011211220 is a wasteful number, since it uses less digits than its factorization.

10011211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644 (or 9642 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10011211220 its reverse (2211211001), we get a palindrome (12222422221).

The spelling of 10011211220 in words is "ten billion, eleven million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2393 4786 7213 9572 11965 14426 23930 28852 36065 47860 69397 72130 138794 144260 209177 277588 346985 418354 693970 836708 1045885 1387940 2091770 4183540 17260709 34521418 69042836 86303545 172607090 345214180 500560561 1001121122 2002242244 2502802805 5005605610 10011211220