Search a number
-
+
1000102200 = 233523594643
BaseRepresentation
bin111011100111000…
…101100100111000
32120200212110022020
4323213011210320
54022011232300
6243123354440
733532504566
oct7347054470
92520773266
101000102200
11473593649
1223ab22a20
1312c274866
1496b76a36
155cc018a0
hex3b9c5938

1000102200 has 96 divisors (see below), whose sum is σ = 3109622400. Its totient is φ = 265893760.

The previous prime is 1000102171. The next prime is 1000102219. The reversal of 1000102200 is 22010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 213079 + ... + 217721.

It is an arithmetic number, because the mean of its divisors is an integer number (32391900).

Almost surely, 21000102200 is an apocalyptic number.

1000102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554811200).

1000102200 is an abundant number, since it is smaller than the sum of its proper divisors (2109520200).

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

1000102200 is a wasteful number, since it uses less digits than its factorization.

1000102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1000102200 is about 31624.3924842834. The cubic root of 1000102200 is about 1000.0340655062.

Adding to 1000102200 its reverse (22010001), we get a palindrome (1022112201).

The spelling of 1000102200 in words is "one billion, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 359 600 718 1077 1436 1795 2154 2872 3590 4308 4643 5385 7180 8616 8975 9286 10770 13929 14360 17950 18572 21540 23215 26925 27858 35900 37144 43080 46430 53850 55716 69645 71800 92860 107700 111432 116075 139290 185720 215400 232150 278580 348225 464300 557160 696450 928600 1392900 1666837 2785800 3333674 5000511 6667348 8334185 10001022 13334696 16668370 20002044 25002555 33336740 40004088 41670925 50005110 66673480 83341850 100010220 125012775 166683700 200020440 250025550 333367400 500051100 1000102200