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101111000211 = 32132233875321
BaseRepresentation
bin101111000101010101…
…1110110110010010011
3100122222121012000000200
41132022223312302103
53124033404001321
6114241051350243
710206424215114
oct1361253666223
9318877160020
10101111000211
1139976583aa1
1217719a52383
1396c4a42310
144c7282420b
15296ba44d26
hex178aaf6c93

101111000211 has 24 divisors (see below), whose sum is σ = 157989127296. Its totient is φ = 61943114880.

The previous prime is 101111000203. The next prime is 101111000227. The reversal of 101111000211 is 112000111101.

It is not a de Polignac number, because 101111000211 - 23 = 101111000203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101111000193 and 101111000202.

It is not an unprimeable number, because it can be changed into a prime (101111000231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1911570 + ... + 1963751.

It is an arithmetic number, because the mean of its divisors is an integer number (6582880304).

Almost surely, 2101111000211 is an apocalyptic number.

101111000211 is a deficient number, since it is larger than the sum of its proper divisors (56878127085).

101111000211 is a wasteful number, since it uses less digits than its factorization.

101111000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875563 (or 3875560 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101111000211 its reverse (112000111101), we get a palindrome (213111111312).

The spelling of 101111000211 in words is "one hundred one billion, one hundred eleven million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 223 669 2007 2899 8697 26091 3875321 11625963 34877889 50379173 151137519 453412557 864196583 2592589749 7777769247 11234555579 33703666737 101111000211