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102400200231433 = 13192307194936467
BaseRepresentation
bin10111010010000111100111…
…100011110100101000001001
3111102120100211000111120010121
4113102013213203310220021
5101410211102224401213
61001442000315343241
730366112264401406
oct2722074743645011
9442510730446117
10102400200231433
112a69a754510185
12b599a17a51b21
13451a3b3654090
141b402a62a72ad
15bc89e6a4888d
hex5d21e78f4a09

102400200231433 has 48 divisors (see below), whose sum is σ = 116828899387200. Its totient is φ = 89208422312832.

The previous prime is 102400200231431. The next prime is 102400200231449. The reversal of 102400200231433 is 334132002004201.

It is not a de Polignac number, because 102400200231433 - 21 = 102400200231431 is a prime.

It is a super-2 number, since 2×1024002002314332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102400200231398 and 102400200231407.

It is not an unprimeable number, because it can be changed into a prime (102400200231431) 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 47 ways as a sum of consecutive naturals, for example, 2808005466 + ... + 2808041932.

It is an arithmetic number, because the mean of its divisors is an integer number (2433935403900).

Almost surely, 2102400200231433 is an apocalyptic number.

102400200231433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102400200231433 is a deficient number, since it is larger than the sum of its proper divisors (14428699155767).

102400200231433 is a wasteful number, since it uses less digits than its factorization.

102400200231433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38774 (or 38755 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 102400200231433 its reverse (334132002004201), we get a palindrome (436532202235634).

The spelling of 102400200231433 in words is "one hundred two trillion, four hundred billion, two hundred million, two hundred thirty-one thousand, four hundred thirty-three".

Divisors: 1 13 19 247 307 361 1949 3991 4693 5833 25337 36467 37031 75829 110827 474071 481403 598343 692873 703589 1440751 7778459 9007349 9146657 11195369 11368517 13164587 71074183 145539797 147790721 171139631 212712011 216001823 923964379 1350409477 2765256143 2808023699 4041528209 17555323201 21819774181 25657780063 52539866717 283657064353 333551140819 414575709439 5389484222707 7876938479341 102400200231433