Search a number
-
+
10325113230040 = 2357347571060949
BaseRepresentation
bin1001011001000000000010…
…1101001101001011011000
31100120001220220010112210121
42112100000231031023120
52323131312441330130
633543142545523024
72113651634245030
oct226200055151330
940501826115717
1010325113230040
113320946274794
1211a90ab643474
1359b866ab6c5b
14279a496908c0
1512d8a71ddd7a
hex96400b4d2d8

10325113230040 has 64 divisors (see below), whose sum is σ = 26551080072000. Its totient is φ = 3539933634048.

The previous prime is 10325113230031. The next prime is 10325113230049. The reversal of 10325113230040 is 4003231152301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10325113230031) and next prime (10325113230049).

It is a junction number, because it is equal to n+sod(n) for n = 10325113229987 and 10325113230014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10325113230049) 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, 9201486 + ... + 10262434.

It is an arithmetic number, because the mean of its divisors is an integer number (414860626125).

Almost surely, 210325113230040 is an apocalyptic number.

10325113230040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10325113230040 is an abundant number, since it is smaller than the sum of its proper divisors (16225966841960).

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

10325113230040 is a wasteful number, since it uses less digits than its factorization.

10325113230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095724 (or 1095720 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 10325113230040 its reverse (4003231152301), we get a palindrome (14328344382341).

The spelling of 10325113230040 in words is "ten trillion, three hundred twenty-five billion, one hundred thirteen million, two hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 34757 69514 139028 173785 243299 278056 347570 486598 695140 973196 1060949 1216495 1390280 1946392 2121898 2432990 4243796 4865980 5304745 7426643 8487592 9731960 10609490 14853286 21218980 29706572 37133215 42437960 59413144 74266430 148532860 297065720 36875404393 73750808786 147501617572 184377021965 258127830751 295003235144 368754043930 516255661502 737508087860 1032511323004 1290639153755 1475016175720 2065022646008 2581278307510 5162556615020 10325113230040