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31301042310 = 232510126313093
BaseRepresentation
bin11101001001101100…
…000000000010000110
32222210102102200220100
4131021230000002012
51003101031323220
622213545544530
72155445320056
oct351154000206
988712380810
1031301042310
111230269340a
1260967a5146
132c4aaa6615
14172d15b566
15c32e72d90
hex749b00086

31301042310 has 96 divisors (see below), whose sum is σ = 82507284288. Its totient is φ = 8232249600.

The previous prime is 31301042303. The next prime is 31301042359. The reversal of 31301042310 is 1324010313.

31301042310 is a `hidden beast` number, since 313 + 0 + 1 + 0 + 42 + 310 = 666.

It is a super-2 number, since 2×313010423102 (a number of 22 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2384124 + ... + 2397216.

It is an arithmetic number, because the mean of its divisors is an integer number (859450878).

Almost surely, 231301042310 is an apocalyptic number.

31301042310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31301042310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41253642144).

31301042310 is an abundant number, since it is smaller than the sum of its proper divisors (51206241978).

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

31301042310 is a wasteful number, since it uses less digits than its factorization.

31301042310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13470 (or 13467 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31301042310 its reverse (1324010313), we get a palindrome (32625052623).

The spelling of 31301042310 in words is "thirty-one billion, three hundred one million, forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 263 303 505 526 606 789 909 1010 1315 1515 1578 1818 2367 2630 3030 3945 4545 4734 7890 9090 11835 13093 23670 26186 26563 39279 53126 65465 78558 79689 117837 130930 132815 159378 196395 235674 239067 265630 392790 398445 478134 589185 796890 1178370 1195335 1322393 2390670 2644786 3443459 3967179 6611965 6886918 7934358 10330377 11901537 13223930 17217295 19835895 20660754 23803074 30991131 34434590 39671790 51651885 59507685 61982262 103303770 119015370 154955655 309911310 347789359 695578718 1043368077 1738946795 2086736154 3130104231 3477893590 5216840385 6260208462 10433680770 15650521155 31301042310