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11310300100 = 22521182712433
BaseRepresentation
bin10101000100010010…
…10111101111000100
31002012020022202221201
422202021113233010
5141130414100400
65110150552244
7550164651601
oct124211275704
932166282851
1011310300100
114884407960
122237968684
1310b32c0788
147941a56a8
15462e3506a
hex2a2257bc4

11310300100 has 72 divisors (see below), whose sum is σ = 26809096608. Its totient is φ = 4107532800.

The previous prime is 11310300077. The next prime is 11310300103. The reversal of 11310300100 is 100301311.

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

It is not an unprimeable number, because it can be changed into a prime (11310300103) 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, 903484 + ... + 915916.

It is an arithmetic number, because the mean of its divisors is an integer number (372348564).

Almost surely, 211310300100 is an apocalyptic number.

11310300100 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 11310300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13404548304).

11310300100 is an abundant number, since it is smaller than the sum of its proper divisors (15498796508).

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

11310300100 is a wasteful number, since it uses less digits than its factorization.

11310300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13285 (or 13278 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11310300100 its reverse (100301311), we get a palindrome (11410601411).

The spelling of 11310300100 in words is "eleven billion, three hundred ten million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 827 1100 1654 3308 4135 8270 9097 12433 16540 18194 20675 24866 36388 41350 45485 49732 62165 82700 90970 124330 136763 181940 227425 248660 273526 310825 454850 547052 621650 683815 909700 1243300 1367630 2735260 3419075 6838150 10282091 13676300 20564182 41128364 51410455 102820910 113103001 205641820 226206002 257052275 452412004 514104550 565515005 1028209100 1131030010 2262060020 2827575025 5655150050 11310300100