Search a number
-
+
10001310210 = 23253111331723
BaseRepresentation
bin10010101000001111…
…11110001000000010
3221211000020012101200
421110013332020002
5130440313411320
64332230442030
7502561506543
oct112407761002
927730205350
1010001310210
11427252a431
121b31503316
13c35058948
146ac3c44ca
153d806b290
hex2541fe202

10001310210 has 96 divisors (see below), whose sum is σ = 27080621568. Its totient is φ = 2558062080.

The previous prime is 10001310191. The next prime is 10001310211. The reversal of 10001310210 is 1201310001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001310192 and 10001310201.

It is not an unprimeable number, because it can be changed into a prime (10001310211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299409 + ... + 331131.

It is an arithmetic number, because the mean of its divisors is an integer number (282089808).

Almost surely, 210001310210 is an apocalyptic number.

10001310210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001310210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540310784).

10001310210 is an abundant number, since it is smaller than the sum of its proper divisors (17079311358).

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

10001310210 is a wasteful number, since it uses less digits than its factorization.

10001310210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31880 (or 31877 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001310210 its reverse (1201310001), we get a palindrome (11202620211).

The spelling of 10001310210 in words is "ten billion, one million, three hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 113 155 186 226 279 310 339 465 558 565 678 930 1017 1130 1395 1695 2034 2790 3390 3503 5085 7006 10170 10509 17515 21018 31527 31723 35030 52545 63054 63446 95169 105090 157635 158615 190338 285507 315270 317230 475845 571014 951690 983413 1427535 1966826 2855070 2950239 3584699 4917065 5900478 7169398 8850717 9834130 10754097 14751195 17701434 17923495 21508194 29502390 32262291 35846990 44253585 53770485 64524582 88507170 107540970 111125669 161311455 222251338 322622910 333377007 555628345 666754014 1000131021 1111256690 1666885035 2000262042 3333770070 5000655105 10001310210