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10032131010 = 2351164347279
BaseRepresentation
bin10010101011111011…
…00010101111000010
3221220011020001120210
421111331202233002
5131021211143020
64335251214550
7503414464236
oct112575425702
927804201523
1010032131010
114288970570
121b3b8a7456
13c3b55a3c5
146b25285c6
153dab083e0
hex255f62bc2

10032131010 has 64 divisors (see below), whose sum is σ = 26307348480. Its totient is φ = 2428198080.

The previous prime is 10032130993. The next prime is 10032131051. The reversal of 10032131010 is 1013123001.

It is a Curzon number.

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, 188551 + ... + 235829.

It is an arithmetic number, because the mean of its divisors is an integer number (411052320).

Almost surely, 210032131010 is an apocalyptic number.

10032131010 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 10032131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153674240).

10032131010 is an abundant number, since it is smaller than the sum of its proper divisors (16275217470).

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

10032131010 is a wasteful number, since it uses less digits than its factorization.

10032131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47943.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10032131010 its reverse (1013123001), we get a palindrome (11045254011).

The spelling of 10032131010 in words is "ten billion, thirty-two million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 643 1286 1929 3215 3858 6430 7073 9645 14146 19290 21219 35365 42438 47279 70730 94558 106095 141837 212190 236395 283674 472790 520069 709185 1040138 1418370 1560207 2600345 3120414 5200690 7801035 15602070 30400397 60800794 91201191 152001985 182402382 304003970 334404367 456005955 668808734 912011910 1003213101 1672021835 2006426202 3344043670 5016065505 10032131010