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30401100 = 223252171987
BaseRepresentation
bin111001111111…
…0001001001100
32010012112110200
41303332021030
530240313400
63003333500
7516255642
oct163761114
963175420
1030401100
1116184884
12a221290
1363b5722
144075192
152a07b00
hex1cfe24c

30401100 has 108 divisors (see below), whose sum is σ = 100946664. Its totient is φ = 7626240.

The previous prime is 30401099. The next prime is 30401113. The reversal of 30401100 is 110403.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14307 + ... + 16293.

Almost surely, 230401100 is an apocalyptic number.

30401100 is a gapful number since it is divisible by the number (30) 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 30401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50473332).

30401100 is an abundant number, since it is smaller than the sum of its proper divisors (70545564).

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

30401100 is a wasteful number, since it uses less digits than its factorization.

30401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 30401100 is about 5513.7192529181. The cubic root of 30401100 is about 312.1019144379.

Adding to 30401100 its reverse (110403), we get a palindrome (30511503).

The spelling of 30401100 in words is "thirty million, four hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 1987 2550 3060 3825 3974 5100 5961 7650 7948 9935 11922 15300 17883 19870 23844 29805 33779 35766 39740 49675 59610 67558 71532 89415 99350 101337 119220 135116 149025 168895 178830 198700 202674 298050 304011 337790 357660 405348 447075 506685 596100 608022 675580 844475 894150 1013370 1216044 1520055 1688950 1788300 2026740 2533425 3040110 3377900 5066850 6080220 7600275 10133700 15200550 30401100