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10312142100 = 22352132644139
BaseRepresentation
bin10011001101010011…
…01100110100010100
3222121200010002120220
421212221230310110
5132104402021400
64423132554340
7513354522141
oct114651546424
928550102526
1010312142100
114411a31a97
121bb96229b0
13c84579b40
146db7b73c8
154054b97a0
hex266a6cd14

10312142100 has 72 divisors (see below), whose sum is σ = 32131589280. Its totient is φ = 2538372480.

The previous prime is 10312142089. The next prime is 10312142131. The reversal of 10312142100 is 124121301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10312142100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1318170 + ... + 1325969.

Almost surely, 210312142100 is an apocalyptic number.

10312142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312142100 is an abundant number, since it is smaller than the sum of its proper divisors (21819447180).

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

10312142100 is a wasteful number, since it uses less digits than its factorization.

10312142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644169 (or 2644162 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10312142100 its reverse (124121301), we get a palindrome (10436263401).

The spelling of 10312142100 in words is "ten billion, three hundred twelve million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 2644139 5288278 7932417 10576556 13220695 15864834 26441390 31729668 34373807 39662085 52882780 66103475 68747614 79324170 103121421 132206950 137495228 158648340 171869035 198310425 206242842 264413900 343738070 396620850 412485684 515607105 687476140 793241700 859345175 1031214210 1718690350 2062428420 2578035525 3437380700 5156071050 10312142100