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30611100 = 223521347167
BaseRepresentation
bin111010011000…
…1011010011100
32010121012112110
41310301122130
530314023400
63012034020
7521122122
oct164613234
963535473
1030611100
1116308633
12a302910
13645a1a0
1440cb912
152a49e50
hex1d3169c

30611100 has 144 divisors (see below), whose sum is σ = 97993728. Its totient is φ = 7330560.

The previous prime is 30611093. The next prime is 30611123. The reversal of 30611100 is 111603.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183217 + ... + 183383.

It is an arithmetic number, because the mean of its divisors is an integer number (680512).

Almost surely, 230611100 is an apocalyptic number.

30611100 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 30611100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48996864).

30611100 is an abundant number, since it is smaller than the sum of its proper divisors (67382628).

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

30611100 is a wasteful number, since it uses less digits than its factorization.

30611100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 30611100 is about 5532.7298867738. The cubic root of 30611100 is about 312.8188958001.

Adding to 30611100 its reverse (111603), we get a palindrome (30722703).

The spelling of 30611100 in words is "thirty million, six hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 47 50 52 60 65 75 78 94 100 130 141 150 156 167 188 195 235 260 282 300 325 334 390 470 501 564 611 650 668 705 780 835 940 975 1002 1175 1222 1300 1410 1670 1833 1950 2004 2171 2350 2444 2505 2820 3055 3340 3525 3666 3900 4175 4342 4700 5010 6110 6513 7050 7332 7849 8350 8684 9165 10020 10855 12220 12525 13026 14100 15275 15698 16700 18330 21710 23547 25050 26052 30550 31396 32565 36660 39245 43420 45825 47094 50100 54275 61100 65130 78490 91650 94188 102037 108550 117735 130260 156980 162825 183300 196225 204074 217100 235470 306111 325650 392450 408148 470940 510185 588675 612222 651300 784900 1020370 1177350 1224444 1530555 2040740 2354700 2550925 3061110 5101850 6122220 7652775 10203700 15305550 30611100