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213003131310 = 232519571120929
BaseRepresentation
bin1100011001011111111…
…0011101100110101110
3202100210112222012022100
43012113332131212232
511442212300200220
6241504032155530
721250262512554
oct3062776354656
9670715865270
10213003131310
1182374795212
1235346398ba6
1317117249208
14a449023bd4
155819ce3d90
hex3197f9d9ae

213003131310 has 48 divisors (see below), whose sum is σ = 553841018640. Its totient is φ = 56797463040.

The previous prime is 213003131287. The next prime is 213003131311. The reversal of 213003131310 is 13131300312.

It is a happy number.

213003131310 is a `hidden beast` number, since 21 + 300 + 3 + 1 + 31 + 310 = 666.

It is a super-2 number, since 2×2130031313102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213003131311) 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, 1700926 + ... + 1821854.

It is an arithmetic number, because the mean of its divisors is an integer number (11538354555).

Almost surely, 2213003131310 is an apocalyptic number.

213003131310 is an abundant number, since it is smaller than the sum of its proper divisors (340837887330).

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

213003131310 is a wasteful number, since it uses less digits than its factorization.

213003131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140513 (or 140510 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 213003131310 its reverse (13131300312), we get a palindrome (226134431622).

The spelling of 213003131310 in words is "two hundred thirteen billion, three million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 19571 39142 58713 97855 117426 120929 176139 195710 241858 293565 352278 362787 587130 604645 725574 880695 1088361 1209290 1761390 1813935 2176722 3627870 5441805 10883610 2366701459 4733402918 7100104377 11833507295 14200208754 21300313131 23667014590 35500521885 42600626262 71001043770 106501565655 213003131310