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13134100 = 2252729647
BaseRepresentation
bin110010000110…
…100100010100
3220201021121011
4302012210110
511330242400
61145302004
7216431560
oct62064424
926637534
1013134100
117460931
124494904
13294b275
141a5c6a0
1512468ba
hexc86914

13134100 has 72 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 4341120.

The previous prime is 13134097. The next prime is 13134101. The reversal of 13134100 is 143131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19977 + ... + 20623.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 213134100 is an apocalyptic number.

13134100 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 13134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

13134100 is an abundant number, since it is smaller than the sum of its proper divisors (20613740).

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

13134100 is a wasteful number, since it uses less digits than its factorization.

13134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 13134100 is about 3624.0998882481. The cubic root of 13134100 is about 235.9392019964.

Adding to 13134100 its reverse (143131), we get a palindrome (13277231).

The spelling of 13134100 in words is "thirteen million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 647 700 725 812 1015 1294 1450 2030 2588 2900 3235 4060 4529 5075 6470 9058 10150 12940 16175 18116 18763 20300 22645 32350 37526 45290 64700 75052 90580 93815 113225 131341 187630 226450 262682 375260 452900 469075 525364 656705 938150 1313410 1876300 2626820 3283525 6567050 13134100