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11210101120 = 275101317291
BaseRepresentation
bin10100111000010110…
…01001000110000000
31001221020210010210101
422130023021012000
5140424241213440
65052211212144
7544540200361
oct123413110600
931836703711
1011210101120
11483289a989
12220a2a7054
13109860a53a
14784b61b68
1545924169a
hex29c2c9180

11210101120 has 64 divisors (see below), whose sum is σ = 26827154640. Its totient is φ = 4479354880.

The previous prime is 11210101093. The next prime is 11210101127. The reversal of 11210101120 is 2110101211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11210101097 and 11210101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210101127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639675 + ... + 656965.

Almost surely, 211210101120 is an apocalyptic number.

11210101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413577320).

11210101120 is an abundant number, since it is smaller than the sum of its proper divisors (15617053520).

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

11210101120 is a wasteful number, since it uses less digits than its factorization.

11210101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18323 (or 18311 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11210101120 its reverse (2110101211), we get a palindrome (13320202331).

Subtracting from 11210101120 its reverse (2110101211), we obtain a palindrome (9099999909).

The spelling of 11210101120 in words is "eleven billion, two hundred ten million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1013 2026 4052 5065 8104 10130 16208 17291 20260 32416 34582 40520 64832 69164 81040 86455 129664 138328 162080 172910 276656 324160 345820 553312 648320 691640 1106624 1383280 2213248 2766560 5533120 11066240 17515783 35031566 70063132 87578915 140126264 175157830 280252528 350315660 560505056 700631320 1121010112 1401262640 2242020224 2802525280 5605050560 11210101120