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11000111221021 = 1321910954757457
BaseRepresentation
bin1010000000010010100110…
…1110001100100100011101
31102221121012122221021212111
42200010221232030210131
52420211211433033041
635221214211234021
72213506003432006
oct240045156144435
942847178837774
1011000111221021
113561137014a0a
121297a8aba8911
1361a3c9496100
142a05a02481ad
15141211328981
hexa0129b8c91d

11000111221021 has 48 divisors (see below), whose sum is σ = 12676659758400. Its totient is φ = 9513687665664.

The previous prime is 11000111221009. The next prime is 11000111221037. The reversal of 11000111221021 is 12012211100011.

It is a happy number.

It is not a de Polignac number, because 11000111221021 - 213 = 11000111212829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000111220992 and 11000111221010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000111221081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191420725 + ... + 191478181.

It is an arithmetic number, because the mean of its divisors is an integer number (264097078300).

Almost surely, 211000111221021 is an apocalyptic number.

It is an amenable number.

11000111221021 is a deficient number, since it is larger than the sum of its proper divisors (1676548537379).

11000111221021 is a wasteful number, since it uses less digits than its factorization.

11000111221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58158 (or 58145 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11000111221021 its reverse (12012211100011), we get a palindrome (23012322321032).

The spelling of 11000111221021 in words is "eleven trillion, one hundred eleven million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 13 19 109 169 247 547 1417 2071 3211 7111 10393 18421 26923 57457 59623 92443 135109 349999 746941 775099 1091683 1132837 1756417 6262813 9710233 10076287 14191879 14726881 31428979 81416569 118993447 184494427 191449453 408576727 597150601 1058415397 1546914811 3425758711 5311497451 7762957813 20109892543 44534863243 65089415509 100918451569 578953222159 846162401617 11000111221021