Search a number
-
+
13132202010 = 2354127139397
BaseRepresentation
bin11000011101011110…
…11000000000011010
31020220012112222112020
430032233120000122
5203343320431020
610011032355310
7643266606144
oct141657300032
936805488466
1013132202010
115629870814
122665b45b36
1313138ab845
148c813dc94
1551cd67c40
hex30ebd801a

13132202010 has 64 divisors (see below), whose sum is σ = 32405958144. Its totient is φ = 3403814400.

The previous prime is 13132201997. The next prime is 13132202029. The reversal of 13132202010 is 1020223131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313632 + ... + 353028.

It is an arithmetic number, because the mean of its divisors is an integer number (506343096).

Almost surely, 213132202010 is an apocalyptic number.

13132202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16202979072).

13132202010 is an abundant number, since it is smaller than the sum of its proper divisors (19273756134).

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

13132202010 is a wasteful number, since it uses less digits than its factorization.

13132202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39719.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13132202010 its reverse (1020223131), we get a palindrome (14152425141).

The spelling of 13132202010 in words is "thirteen billion, one hundred thirty-two million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 4065 8130 11111 22222 33333 39397 55555 66666 78794 111110 118191 166665 196985 236382 333330 393970 590955 1181910 1615277 3230554 4845831 8076385 9691662 10676587 16152770 21353174 24229155 32029761 48458310 53382935 64059522 106765870 160148805 320297610 437740067 875480134 1313220201 2188700335 2626440402 4377400670 6566101005 13132202010