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11101211020 = 2252919996181
BaseRepresentation
bin10100101011010111…
…10000100110001100
31001122122212221122201
422111223300212030
5140213402223040
65033321251244
7542045510464
oct122553604614
931578787581
1011101211020
114787387169
122199933b24
13107bba3423
147744d8ba4
1544e8d2a9a
hex295af098c

11101211020 has 48 divisors (see below), whose sum is σ = 24237864000. Its totient is φ = 4265775360.

The previous prime is 11101210999. The next prime is 11101211041. The reversal of 11101211020 is 2011210111.

It is an interprime number because it is at equal distance from previous prime (11101210999) and next prime (11101211041).

It is a super-2 number, since 2×111012110202 (a number of 21 digits) contains 22 as substring.

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 = 11101210988 and 11101211006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67330 + ... + 163510.

It is an arithmetic number, because the mean of its divisors is an integer number (504955500).

Almost surely, 211101211020 is an apocalyptic number.

11101211020 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 11101211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118932000).

11101211020 is an abundant number, since it is smaller than the sum of its proper divisors (13136652980).

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

11101211020 is a wasteful number, since it uses less digits than its factorization.

11101211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96418 (or 96416 counting only the distinct ones).

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

Adding to 11101211020 its reverse (2011210111), we get a palindrome (13112421131).

Subtracting from 11101211020 its reverse (2011210111), we obtain a palindrome (9090000909).

The spelling of 11101211020 in words is "eleven billion, one hundred one million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 199 290 398 580 796 995 1990 3980 5771 11542 23084 28855 57710 96181 115420 192362 384724 480905 961810 1923620 2789249 5578498 11156996 13946245 19140019 27892490 38280038 55784980 76560076 95700095 191400190 382800380 555060551 1110121102 2220242204 2775302755 5550605510 11101211020