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30020100 = 22352112827
BaseRepresentation
bin111001010000…
…1001000000100
32002111011211120
41302201020010
530141120400
62551233540
7513111105
oct162411004
962434746
1030020100
1115a44600
12a0788b0
1362b1196
143db63ac
15297eca0
hex1ca1204

30020100 has 108 divisors (see below), whose sum is σ = 95587632. Its totient is φ = 7268800.

The previous prime is 30020051. The next prime is 30020119. The reversal of 30020100 is 102003.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 35887 + ... + 36713.

Almost surely, 230020100 is an apocalyptic number.

30020100 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 30020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47793816).

30020100 is an abundant number, since it is smaller than the sum of its proper divisors (65567532).

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

30020100 is a wasteful number, since it uses less digits than its factorization.

30020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 30020100 is about 5479.0601383814. The cubic root of 30020100 is about 310.7926299623.

Adding to 30020100 its reverse (102003), we get a palindrome (30122103).

The spelling of 30020100 in words is "thirty million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 827 1100 1210 1452 1650 1654 1815 2420 2481 3025 3300 3308 3630 4135 4962 6050 7260 8270 9075 9097 9924 12100 12405 16540 18150 18194 20675 24810 27291 36300 36388 41350 45485 49620 54582 62025 82700 90970 100067 109164 124050 136455 181940 200134 227425 248100 272910 300201 400268 454850 500335 545820 600402 682275 909700 1000670 1200804 1364550 1501005 2001340 2501675 2729100 3002010 5003350 6004020 7505025 10006700 15010050 30020100