Search a number
-
+
1002100231210 = 2513233110811309
BaseRepresentation
bin11101001010100011101…
…01000000110000101010
310112210121002101020002011
432211101311000300222
5112404300124344320
62044205233430134
7132253656265051
oct16452165006052
93483532336064
101002100231210
11356a96501771
1214226940b34a
13736614379c0
1436705353398
151b100d2705a
hexe951d40c2a

1002100231210 has 64 divisors (see below), whose sum is σ = 2092377692160. Its totient is φ = 342502237440.

The previous prime is 1002100231087. The next prime is 1002100231211. The reversal of 1002100231210 is 121320012001.

It is a super-2 number, since 2×10021002312102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1002100231211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5312965 + ... + 5498344.

It is an arithmetic number, because the mean of its divisors is an integer number (32693401440).

Almost surely, 21002100231210 is an apocalyptic number.

1002100231210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002100231210 is an abundant number, since it is smaller than the sum of its proper divisors (1090277460950).

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

1002100231210 is a wasteful number, since it uses less digits than its factorization.

1002100231210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10811383.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1002100231210 its reverse (121320012001), we get a palindrome (1123420243211).

The spelling of 1002100231210 in words is "one trillion, two billion, one hundred million, two hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 5 10 13 23 26 31 46 62 65 115 130 155 230 299 310 403 598 713 806 1426 1495 2015 2990 3565 4030 7130 9269 18538 46345 92690 10811309 21622618 54056545 108113090 140547017 248660107 281094034 335150579 497320214 670301158 702735085 1243300535 1405470170 1675752895 2486601070 3232581391 3351505790 4356957527 6465162782 7708463317 8713915054 15416926634 16162906955 21784787635 32325813910 38542316585 43569575270 77084633170 100210023121 200420046242 501050115605 1002100231210