Search a number
-
+
10203010132032 = 263250101353557
BaseRepresentation
bin1001010001111001001011…
…0010110110100001000000
31100010101202022121111012100
42110132102302312201000
52314131231043211112
633411110444430400
72102100050113404
oct224362262664100
940111668544170
1010203010132032
113284088255a43
1211894b3548400
135901a7c988c3
14273b84cd3104
1512a60c7ad2dc
hex94792cb6840

10203010132032 has 84 divisors (see below), whose sum is σ = 29245752774316. Its totient is φ = 3400925875200.

The previous prime is 10203010132031. The next prime is 10203010132057. The reversal of 10203010132032 is 23023101030201.

10203010132032 is a `hidden beast` number, since 10 + 2 + 0 + 301 + 0 + 1 + 320 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1038246875136 + 9164763256896 = 1018944^2 + 3027336^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10203010131996 and 10203010132014.

It is not an unprimeable number, because it can be changed into a prime (10203010132031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28681398 + ... + 29034954.

Almost surely, 210203010132032 is an apocalyptic number.

10203010132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10203010132032 is an abundant number, since it is smaller than the sum of its proper divisors (19042742642284).

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

10203010132032 is a wasteful number, since it uses less digits than its factorization.

10203010132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403676 (or 403663 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10203010132032 its reverse (23023101030201), we get a palindrome (33226111162233).

The spelling of 10203010132032 in words is "ten trillion, two hundred three billion, ten million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 50101 100202 150303 200404 300606 353557 400808 450909 601212 707114 801616 901818 1060671 1202424 1414228 1603232 1803636 2121342 2404848 2828456 3182013 3206464 3607272 4242684 4809696 5656912 6364026 7214544 8485368 9619392 11313824 12728052 14429088 16970736 22627648 25456104 28858176 33941472 50912208 67882944 101824416 203648832 17713559257 35427118514 53140677771 70854237028 106281355542 141708474056 159422033313 212562711084 283416948112 318844066626 425125422168 566833896224 637688133252 850250844336 1133667792448 1275376266504 1700501688672 2550752533008 3401003377344 5101505066016 10203010132032