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102133210413 = 31319137831593
BaseRepresentation
bin101111100011110011…
…1010001110100101101
3100202121211122122210210
41133013213101310231
53133132100213123
6114530325053033
710243645651563
oct1370747216455
9322554578723
10102133210413
113a350597713
1217964257179
139828757920
144d2c4b3a33
1529cb661e93
hex17c79d1d2d

102133210413 has 16 divisors (see below), whose sum is σ = 154371385280. Its totient is φ = 59543247744.

The previous prime is 102133210411. The next prime is 102133210429. The reversal of 102133210413 is 314012331201.

It is not a de Polignac number, because 102133210413 - 21 = 102133210411 is a prime.

It is a super-2 number, since 2×1021332104132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102133210413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133210411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68915056 + ... + 68916537.

It is an arithmetic number, because the mean of its divisors is an integer number (9648211580).

Almost surely, 2102133210413 is an apocalyptic number.

102133210413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102133210413 is a deficient number, since it is larger than the sum of its proper divisors (52238174867).

102133210413 is a wasteful number, since it uses less digits than its factorization.

102133210413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137831628.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102133210413 its reverse (314012331201), we get a palindrome (416145541614).

The spelling of 102133210413 in words is "one hundred two billion, one hundred thirty-three million, two hundred ten thousand, four hundred thirteen".

Divisors: 1 3 13 19 39 57 247 741 137831593 413494779 1791810709 2618800267 5375432127 7856400801 34044403471 102133210413