Search a number
-
+
1030102240332 = 2231129659408341
BaseRepresentation
bin11101111110101101110…
…00001100110001001100
310122110212121002200020010
432333112320030301030
5113334122133142312
62105120013553220
7134264615400444
oct16772670146114
93573777080203
101030102240332
11367955950670
121477831a5810
13761a48aa079
1437c002a7124
151bbde33893c
hexefd6e0cc4c

1030102240332 has 96 divisors (see below), whose sum is σ = 2716617657600. Its totient is φ = 300930246400.

The previous prime is 1030102240319. The next prime is 1030102240333. The reversal of 1030102240332 is 2330422010301.

It is a super-2 number, since 2×10301022403322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030102240299 and 1030102240308.

It is not an unprimeable number, because it can be changed into a prime (1030102240333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2318482 + ... + 2726822.

It is an arithmetic number, because the mean of its divisors is an integer number (28298100600).

Almost surely, 21030102240332 is an apocalyptic number.

1030102240332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030102240332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358308828800).

1030102240332 is an abundant number, since it is smaller than the sum of its proper divisors (1686515417268).

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

1030102240332 is a wasteful number, since it uses less digits than its factorization.

1030102240332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409047 (or 409045 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1030102240332 its reverse (2330422010301), we get a palindrome (3360524250633).

The spelling of 1030102240332 in words is "one trillion, thirty billion, one hundred two million, two hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 659 957 1276 1318 1914 1977 2636 3828 3954 7249 7908 14498 19111 21747 28996 38222 43494 57333 76444 86988 114666 210221 229332 408341 420442 630663 816682 840884 1225023 1261326 1633364 2450046 2522652 4491751 4900092 8983502 11841889 13475253 17967004 23683778 26950506 35525667 47367556 53901012 71051334 130260779 142102668 260521558 269096719 390782337 521043116 538193438 781564674 807290157 1076386876 1563129348 1614580314 2960063909 3229160628 5920127818 7803804851 8880191727 11840255636 15607609702 17760383454 23411414553 31215219404 35520766908 46822829106 85841853361 93645658212 171683706722 257525560083 343367413444 515051120166 1030102240332