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31130010132 = 223134319723557
BaseRepresentation
bin11100111111011111…
…100100001000010100
32222100111121100212020
4130333133210020110
51002223240311012
622145000053140
72151300502014
oct347737441024
988314540766
1031130010132
1112225096401
1260494641b0
132c21522550
141714559c44
15c22e3ba8c
hex73f7e4214

31130010132 has 96 divisors (see below), whose sum is σ = 80453020032. Its totient is φ = 9307823616.

The previous prime is 31130010101. The next prime is 31130010143. The reversal of 31130010132 is 23101003113.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309698 + ... + 1333254.

It is an arithmetic number, because the mean of its divisors is an integer number (838052292).

Almost surely, 231130010132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31130010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40226510016).

31130010132 is an abundant number, since it is smaller than the sum of its proper divisors (49323009900).

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

31130010132 is a wasteful number, since it uses less digits than its factorization.

31130010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23817 (or 23815 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31130010132 its reverse (23101003113), we get a palindrome (54231013245).

The spelling of 31130010132 in words is "thirty-one billion, one hundred thirty million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 197 258 394 516 559 591 788 1118 1182 1677 2236 2364 2561 3354 5122 6708 7683 8471 10244 15366 16942 23557 25413 30732 33884 47114 50826 70671 94228 101652 110123 141342 220246 282684 306241 330369 440492 612482 660738 918723 1012951 1224964 1321476 1837446 2025902 3038853 3674892 4051804 4640729 6077706 9281458 12155412 13168363 13922187 18562916 26336726 27844374 39505089 52673452 55688748 60329477 79010178 120658954 158020356 180988431 199551347 241317908 361976862 399102694 598654041 723953724 798205388 1197308082 2394616164 2594167511 5188335022 7782502533 10376670044 15565005066 31130010132