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1001030130032 = 241753107648961
BaseRepresentation
bin11101001000100100000…
…10111001100101110000
310112200211111210110020012
432210102002321211300
5112400102203130112
62043511125434052
7132215313466412
oct16442202714560
93480744713205
101001030130032
11356597458929
1214200ab6b928
1373520824c3a
14366431989b2
151b08bdea022
hexe9120b9970

1001030130032 has 80 divisors (see below), whose sum is σ = 2111888482272. Its totient is φ = 457864642560.

The previous prime is 1001030130031. The next prime is 1001030130047. The reversal of 1001030130032 is 2300310301001.

It is a super-2 number, since 2×10010301300322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001030129989 and 1001030130016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001030130031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1218032 + ... + 1866992.

Almost surely, 21001030130032 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 1001030130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055944241136).

1001030130032 is an abundant number, since it is smaller than the sum of its proper divisors (1110858352240).

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

1001030130032 is a wasteful number, since it uses less digits than its factorization.

1001030130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649146 (or 649140 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1001030130032 its reverse (2300310301001), we get a palindrome (3301340431033).

The spelling of 1001030130032 in words is "one trillion, one billion, thirty million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 53 68 106 107 136 212 214 272 424 428 848 856 901 1712 1802 1819 3604 3638 5671 7208 7276 11342 14416 14552 22684 29104 45368 90736 96407 192814 385628 648961 771256 1297922 1542512 2595844 5191688 10383376 11032337 22064674 34394933 44129348 68789866 69438827 88258696 137579732 138877654 176517392 275159464 277755308 550318928 555510616 584713861 1111021232 1169427722 1180460059 2338855444 2360920118 3680257831 4677710888 4721840236 7360515662 9355421776 9443680472 14721031324 18887360944 29442062648 58884125296 62564383127 125128766254 250257532508 500515065016 1001030130032