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10200343131 = 3211797129277
BaseRepresentation
bin10010111111111110…
…01110001001011011
3222022212202010020100
421133333032021123
5131342241440011
64404100430443
7510526325466
oct113777161133
928285663210
1010200343131
114364911850
121b880a8423
13c673649c4
146ca9d42dd
153ea783d56
hex25ffce25b

10200343131 has 24 divisors (see below), whose sum is σ = 16093559664. Its totient is φ = 6174221760.

The previous prime is 10200343129. The next prime is 10200343151. The reversal of 10200343131 is 13134300201.

10200343131 is a `hidden beast` number, since 1 + 0 + 200 + 3 + 431 + 31 = 666.

It is not a de Polignac number, because 10200343131 - 21 = 10200343129 is a prime.

It is a super-2 number, since 2×102003431312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10200343151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14265 + ... + 143541.

It is an arithmetic number, because the mean of its divisors is an integer number (670564986).

Almost surely, 210200343131 is an apocalyptic number.

10200343131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10200343131 is a deficient number, since it is larger than the sum of its proper divisors (5893216533).

10200343131 is a wasteful number, since it uses less digits than its factorization.

10200343131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130091 (or 130088 counting only the distinct ones).

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

Adding to 10200343131 its reverse (13134300201), we get a palindrome (23334643332).

It can be divided in two parts, 1020034 and 3131, that added together give a triangular number (1023165 = T1430).

The spelling of 10200343131 in words is "ten billion, two hundred million, three hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 797 2391 7173 8767 26301 78903 129277 387831 1163493 1422047 4266141 12798423 103033769 309101307 927303921 1133371459 3400114377 10200343131