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130202023413033 = 321121329317138161
BaseRepresentation
bin11101100110101100000101…
…010110101100010100101001
3122002000012011212201000010200
4131212230011112230110221
5114031212220443204113
61140525552300502413
736265533342323025
oct3546540526542451
9562005155630120
10130202023413033
1138539405947600
121272a03624aa09
135785cc8b58480
142421b50cb1385
15100bcc04a7873
hex766b055ac529

130202023413033 has 72 divisors (see below), whose sum is σ = 230299390481160. Its totient is φ = 70328558361600.

The previous prime is 130202023412977. The next prime is 130202023413043. The reversal of 130202023413033 is 330314320202031.

130202023413033 is a `hidden beast` number, since 1 + 302 + 0 + 20 + 2 + 34 + 1 + 303 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48483369 + 130201974929664 = 6963^2 + 11410608^2 .

It is not a de Polignac number, because 130202023413033 - 220 = 130202022364457 is a prime.

It is a super-2 number, since 2×1302020234130332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130202023412988 and 130202023413006.

It is not an unprimeable number, because it can be changed into a prime (130202023413043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158158528 + ... + 158979633.

Almost surely, 2130202023413033 is an apocalyptic number.

130202023413033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130202023413033 is a deficient number, since it is larger than the sum of its proper divisors (100097367068127).

130202023413033 is a wasteful number, since it uses less digits than its factorization.

130202023413033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317138231 (or 317138217 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 130202023413033 its reverse (330314320202031), we get a palindrome (460516343615064).

The spelling of 130202023413033 in words is "one hundred thirty trillion, two hundred two billion, twenty-three million, four hundred thirteen thousand, thirty-three".

Divisors: 1 3 9 11 13 29 33 39 87 99 117 121 143 261 319 363 377 429 957 1089 1131 1287 1573 2871 3393 3509 4147 4719 10527 12441 14157 31581 37323 45617 136851 410553 317138161 951414483 2854243449 3488519771 4122796093 9197006669 10465559313 12368388279 27591020007 31396677939 37105164837 38373717481 45350757023 82773060021 101167073359 115121152443 119561086697 136052271069 303501220077 345363457329 358683260091 408156813207 498858327253 910503660231 1076049780273 1112837806949 1315171953667 1496574981759 3338513420847 3945515861001 4489724945277 10015540262541 11836547583003 14466891490337 43400674471011 130202023413033