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1352061100 = 2252134125367
BaseRepresentation
bin101000010010110…
…1101000010101100
310111020010211011001
41100211231002230
510232111423400
6342055210044
745335221045
oct12045550254
93436124131
101352061100
11634226575
12318976924
13187165570
14cb7d38cc
157da75a6a
hex5096d0ac

1352061100 has 72 divisors (see below), whose sum is σ = 3236855328. Its totient is φ = 487027200.

The previous prime is 1352061047. The next prime is 1352061101. The reversal of 1352061100 is 11602531.

It is not an unprimeable number, because it can be changed into a prime (1352061101) by changing a digit.

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, 40617 + ... + 65983.

It is an arithmetic number, because the mean of its divisors is an integer number (44956324).

Almost surely, 21352061100 is an apocalyptic number.

1352061100 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 1352061100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618427664).

1352061100 is an abundant number, since it is smaller than the sum of its proper divisors (1884794228).

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

1352061100 is a wasteful number, since it uses less digits than its factorization.

1352061100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25435 (or 25428 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1352061100 is about 36770.3834627816. The cubic root of 1352061100 is about 1105.7716196910.

Adding to 1352061100 its reverse (11602531), we get a palindrome (1363663631).

The spelling of 1352061100 in words is "one billion, three hundred fifty-two million, sixty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 325 410 533 650 820 1025 1066 1300 2050 2132 2665 4100 5330 10660 13325 25367 26650 50734 53300 101468 126835 253670 329771 507340 634175 659542 1040047 1268350 1319084 1648855 2080094 2536700 3297710 4160188 5200235 6595420 8244275 10400470 13520611 16488550 20800940 26001175 27041222 32977100 52002350 54082444 67603055 104004700 135206110 270412220 338015275 676030550 1352061100