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11022030100 = 22522339712071
BaseRepresentation
bin10100100001111011…
…01101010100010100
31001110010220010212001
422100331231110110
5140033114430400
65021412205044
7540064465354
oct122075552424
931403803761
1011022030100
114746715394
122177309784
13106866bb03
14767ba6b64
15447991a6a
hex290f6d514

11022030100 has 72 divisors (see below), whose sum is σ = 25022648448. Its totient is φ = 4206153600.

The previous prime is 11022030023. The next prime is 11022030101. The reversal of 11022030100 is 103022011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022030101) 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, 907065 + ... + 919135.

It is an arithmetic number, because the mean of its divisors is an integer number (347536784).

Almost surely, 211022030100 is an apocalyptic number.

11022030100 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 11022030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12511324224).

11022030100 is an abundant number, since it is smaller than the sum of its proper divisors (14000618348).

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

11022030100 is a wasteful number, since it uses less digits than its factorization.

11022030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12505 (or 12498 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11022030100 its reverse (103022011), we get a palindrome (11125052111).

The spelling of 11022030100 in words is "eleven billion, twenty-two million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 397 460 575 794 1150 1588 1985 2300 3970 7940 9131 9925 12071 18262 19850 24142 36524 39700 45655 48284 60355 91310 120710 182620 228275 241420 277633 301775 456550 555266 603550 913100 1110532 1207100 1388165 2776330 4792187 5552660 6940825 9584374 13881650 19168748 23960935 27763300 47921870 95843740 110220301 119804675 220440602 239609350 440881204 479218700 551101505 1102203010 2204406020 2755507525 5511015050 11022030100