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100303020 = 22325678317
BaseRepresentation
bin1011111101010…
…00000010101100
320222201220212200
411332220002230
5201134144040
613541501500
72325363426
oct576500254
9228656780
10100303020
1151689164
1229711890
1317a1b6cc
14d46d816
158c14630
hex5fa80ac

100303020 has 72 divisors (see below), whose sum is σ = 308830704. Its totient is φ = 26345088.

The previous prime is 100303019. The next prime is 100303037. The reversal of 100303020 is 20303001.

It is a happy number.

It is a super-2 number, since 2×1003030202 = 20121391642240800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100302993 and 100303011.

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 23 ways as a sum of consecutive naturals, for example, 7902 + ... + 16218.

Almost surely, 2100303020 is an apocalyptic number.

100303020 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 100303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154415352).

100303020 is an abundant number, since it is smaller than the sum of its proper divisors (208527684).

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

100303020 is a wasteful number, since it uses less digits than its factorization.

100303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8399 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 100303020 is about 10015.1395397169. The cubic root of 100303020 is about 464.6272420220.

Adding to 100303020 its reverse (20303001), we get a palindrome (120606021).

The spelling of 100303020 in words is "one hundred million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 8317 12060 16634 24951 33268 41585 49902 74853 83170 99804 124755 149706 166340 249510 299412 374265 499020 557239 748530 1114478 1497060 1671717 2228956 2786195 3343434 5015151 5572390 6686868 8358585 10030302 11144780 16717170 20060604 25075755 33434340 50151510 100303020