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1030312031232 = 21031130489821
BaseRepresentation
bin11101111111000110110…
…00011111010000000000
310122111102012212011020110
432333203120133100000
5113340034334444412
62105152510311320
7134303043523641
oct16774330372000
93574365764213
101030312031232
11367a53310680
121478214b8540
13762091b19b3
1437c200b76c8
151bc02978d3c
hexefe361f400

1030312031232 has 88 divisors (see below), whose sum is σ = 2995807950432. Its totient is φ = 312215756800.

The previous prime is 1030312031201. The next prime is 1030312031249. The reversal of 1030312031232 is 2321302130301.

1030312031232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 1030312031199 and 1030312031208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15211119 + ... + 15278702.

It is an arithmetic number, because the mean of its divisors is an integer number (34043272164).

Almost surely, 21030312031232 is an apocalyptic number.

1030312031232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1030312031232 is an abundant number, since it is smaller than the sum of its proper divisors (1965495919200).

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

1030312031232 is a wasteful number, since it uses less digits than its factorization.

1030312031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30489855 (or 30489837 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1030312031232 its reverse (2321302130301), we get a palindrome (3351614161533).

The spelling of 1030312031232 in words is "one trillion, thirty billion, three hundred twelve million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 11264 16896 33792 30489821 60979642 91469463 121959284 182938926 243918568 335388031 365877852 487837136 670776062 731755704 975674272 1006164093 1341552124 1463511408 1951348544 2012328186 2683104248 2927022816 3902697088 4024656372 5366208496 5854045632 7805394176 8049312744 10732416992 11708091264 15610788352 16098625488 21464833984 23416182528 31221576704 32197250976 42929667968 46832365056 64394501952 85859335936 93664730112 128789003904 171718671872 257578007808 343437343744 515156015616 1030312031232