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10214335530 = 2325729575483
BaseRepresentation
bin10011000001101001…
…00110010000101010
3222100212002000012100
421200310212100222
5131404332214110
64405320354230
7511056263610
oct114064462052
928325060170
1010214335530
1143717a9513
121b90915976
13c6a223829
146cc7d76b0
153ebae9bc0
hex260d2642a

10214335530 has 96 divisors (see below), whose sum is σ = 30366969984. Its totient is φ = 2333490048.

The previous prime is 10214335519. The next prime is 10214335619. The reversal of 10214335530 is 3553341201.

10214335530 is a `hidden beast` number, since 102 + 1 + 4 + 3 + 3 + 553 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10214335494 and 10214335503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1860169 + ... + 1865651.

It is an arithmetic number, because the mean of its divisors is an integer number (316322604).

Almost surely, 210214335530 is an apocalyptic number.

10214335530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10214335530 is an abundant number, since it is smaller than the sum of its proper divisors (20152634454).

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

10214335530 is a wasteful number, since it uses less digits than its factorization.

10214335530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10214335530 its reverse (3553341201), we get a palindrome (13767676731).

It can be divided in two parts, 10214 and 335530, that added together give a square (345744 = 5882).

The spelling of 10214335530 in words is "ten billion, two hundred fourteen million, three hundred thirty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 2957 5483 5914 8871 10966 14785 16449 17742 20699 26613 27415 29570 32898 38381 41398 44355 49347 53226 54830 62097 76762 82245 88710 98694 103495 115143 124194 133065 164490 186291 191905 206990 230286 246735 266130 310485 345429 372582 383810 493470 575715 620970 690858 931455 1151430 1727145 1862910 3454290 16213231 32426462 48639693 81066155 97279386 113492617 145919079 162132310 226985234 243198465 291838158 340477851 486396930 567463085 680955702 729595395 1021433553 1134926170 1459190790 1702389255 2042867106 3404778510 5107167765 10214335530