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2131244010 = 2325723314519
BaseRepresentation
bin111111100001000…
…0011001111101010
312111112022102011100
41333002003033222
513331044302020
6551251542230
7103546163250
oct17702031752
95445272140
102131244010
119a4039195
124b58ba976
1327c70a13c
141630a05d0
15c7189a90
hex7f0833ea

2131244010 has 96 divisors (see below), whose sum is σ = 6360456960. Its totient is φ = 485017344.

The previous prime is 2131243997. The next prime is 2131244033. The reversal of 2131244010 is 104421312.

2131244010 is a `hidden beast` number, since 213 + 1 + 2 + 440 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139531 + ... + 154049.

It is an arithmetic number, because the mean of its divisors is an integer number (66254760).

Almost surely, 22131244010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131244010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180228480).

2131244010 is an abundant number, since it is smaller than the sum of its proper divisors (4229212950).

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

2131244010 is a wasteful number, since it uses less digits than its factorization.

2131244010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 14769 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2131244010 is about 46165.3984061656. The cubic root of 2131244010 is about 1286.8987881423.

Adding to 2131244010 its reverse (104421312), we get a palindrome (2235665322).

The spelling of 2131244010 in words is "two billion, one hundred thirty-one million, two hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 233 315 466 630 699 1165 1398 1631 2097 2330 3262 3495 4194 4893 6990 8155 9786 10485 14519 14679 16310 20970 24465 29038 29358 43557 48930 72595 73395 87114 101633 130671 145190 146790 203266 217785 261342 304899 435570 508165 609798 653355 914697 1016330 1306710 1524495 1829394 3048990 3382927 4573485 6765854 9146970 10148781 16914635 20297562 23680489 30446343 33829270 47360978 50743905 60892686 71041467 101487810 118402445 142082934 152231715 213124401 236804890 304463430 355207335 426248802 710414670 1065622005 2131244010