Search a number
-
+
100102012200 = 233252232417923
BaseRepresentation
bin101110100111010001…
…0110111110100101000
3100120101021121002200100
41131032202313310220
53120002103342300
6113553005305400
710142423031111
oct1351642676450
9316337532610
10100102012200
11394a8a81403
1217497b65260
1395939a90a8
144bb8817208
15290d18a700
hex174e8b7d28

100102012200 has 144 divisors (see below), whose sum is σ = 350792413920. Its totient is φ = 25533256320.

The previous prime is 100102012189. The next prime is 100102012207. The reversal of 100102012200 is 2210201001.

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

It is not an unprimeable number, because it can be changed into a prime (100102012207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1167562 + ... + 1250361.

It is an arithmetic number, because the mean of its divisors is an integer number (2436058430).

Almost surely, 2100102012200 is an apocalyptic number.

100102012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102012200 is an abundant number, since it is smaller than the sum of its proper divisors (250690401720).

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

100102012200 is a wasteful number, since it uses less digits than its factorization.

100102012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417968 (or 2417956 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100102012200 its reverse (2210201001), we get a palindrome (102312213201).

The spelling of 100102012200 in words is "one hundred billion, one hundred two million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 828 900 920 1035 1150 1380 1656 1725 1800 2070 2300 2760 3450 4140 4600 5175 6900 8280 10350 13800 20700 41400 2417923 4835846 7253769 9671692 12089615 14507538 19343384 21761307 24179230 29015076 36268845 43522614 48358460 55612229 58030152 60448075 72537690 87045228 96716920 108806535 111224458 120896150 145075380 166836687 174090456 181344225 217613070 222448916 241792300 278061145 290150760 333673374 362688450 435226140 444897832 483584600 500510061 544032675 556122290 667346748 725376900 834183435 870452280 1001020122 1088065350 1112244580 1334693496 1390305725 1450753800 1668366870 2002040244 2176130700 2224489160 2502550305 2780611450 3336733740 4004080488 4170917175 4352261400 5005100610 5561222900 6673467480 8341834350 10010201220 11122445800 12512751525 16683668700 20020402440 25025503050 33367337400 50051006100 100102012200