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1002211201101 = 311389138156533
BaseRepresentation
bin11101001010110000111…
…00010101000001001101
310112210212211012002011010
432211120130111001031
5112410012031413401
62044224240115433
7132256504436325
oct16453034250115
93483784162133
101002211201101
11357043106020
1214229a605b79
137367b41c666
1436715d9c285
151b10a946ed6
hexe95871504d

1002211201101 has 32 divisors (see below), whose sum is σ = 1462593375360. Its totient is φ = 605389881600.

The previous prime is 1002211201097. The next prime is 1002211201111. The reversal of 1002211201101 is 1011021122001.

It is not a de Polignac number, because 1002211201101 - 22 = 1002211201097 is a prime.

It is a super-2 number, since 2×10022112011012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002211201111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17699631 + ... + 17756163.

It is an arithmetic number, because the mean of its divisors is an integer number (45706042980).

Almost surely, 21002211201101 is an apocalyptic number.

1002211201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002211201101 is a deficient number, since it is larger than the sum of its proper divisors (460382174259).

1002211201101 is a wasteful number, since it uses less digits than its factorization.

1002211201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58317.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002211201101 its reverse (1011021122001), we get a palindrome (2013232323102).

The spelling of 1002211201101 in words is "one trillion, two billion, two hundred eleven million, two hundred one thousand, one hundred one".

Divisors: 1 3 11 33 389 1167 1381 4143 4279 12837 15191 45573 56533 169599 537209 621863 1611627 1865589 5909299 17727897 21991337 65974011 78072073 234216219 241904707 725714121 858792803 2576378409 30370036397 91110109191 334070400367 1002211201101