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1020314100 = 2235213261619
BaseRepresentation
bin111100110100001…
…100000111110100
32122002220022211010
4330310030013310
54042200022400
6245124512220
734166345451
oct7464140764
92562808733
101020314100
11483a390a3
1224584b670
13133500570
1499718828
155e895450
hex3cd0c1f4

1020314100 has 72 divisors (see below), whose sum is σ = 3179206240. Its totient is φ = 251153280.

The previous prime is 1020314093. The next prime is 1020314131. The reversal of 1020314100 is 14130201.

It is a happy number.

1020314100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126910 + ... + 134709.

Almost surely, 21020314100 is an apocalyptic number.

1020314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020314100 is an abundant number, since it is smaller than the sum of its proper divisors (2158892140).

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

1020314100 is a wasteful number, since it uses less digits than its factorization.

1020314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261649 (or 261642 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1020314100 is about 31942.3558930771. The cubic root of 1020314100 is about 1006.7260258162.

Adding to 1020314100 its reverse (14130201), we get a palindrome (1034444301).

The spelling of 1020314100 in words is "one billion, twenty million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 261619 523238 784857 1046476 1308095 1569714 2616190 3139428 3401047 3924285 5232380 6540475 6802094 7848570 10203141 13080950 13604188 15697140 17005235 19621425 20406282 26161900 34010470 39242850 40812564 51015705 68020940 78485700 85026175 102031410 170052350 204062820 255078525 340104700 510157050 1020314100