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100025000000 = 26584001
BaseRepresentation
bin101110100100111110…
…1000110000001000000
3100120011220200110210122
41131021331012001000
53114322400000000
6113541214515412
710140466320542
oct1351175060100
9316156613718
10100025000000
1139469560a62
1217476205b68
139580a53943
144bac4cb692
152906527085
hex1749f46040

100025000000 has 126 divisors (see below), whose sum is σ = 248170771374. Its totient is φ = 40000000000.

The previous prime is 100024999981. The next prime is 100025000017. The reversal of 100025000000 is 520001.

It can be written as a sum of positive squares in 9 ways, for example, as 9813676096 + 90211323904 = 99064^2 + 300352^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24998000 + ... + 25002000.

Almost surely, 2100025000000 is an apocalyptic number.

100025000000 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 100025000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124085385687).

100025000000 is an abundant number, since it is smaller than the sum of its proper divisors (148145771374).

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

100025000000 is an frugal number, since it uses more digits than its factorization.

100025000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

Adding to 100025000000 its reverse (520001), we get a palindrome (100025520001).

The spelling of 100025000000 in words is "one hundred billion, twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 4001 5000 6250 8000 8002 10000 12500 15625 16004 20000 20005 25000 31250 32008 40000 40010 50000 62500 64016 78125 80020 100000 100025 125000 128032 156250 160040 200000 200050 250000 256064 312500 320080 390625 400100 500000 500125 625000 640160 781250 800200 1000000 1000250 1250000 1280320 1562500 1600400 2000500 2500000 2500625 3125000 3200800 4001000 5000000 5001250 6250000 6401600 8002000 10002500 12500000 12503125 16004000 20005000 25000000 25006250 32008000 40010000 50012500 62515625 80020000 100025000 125031250 160040000 200050000 250062500 312578125 400100000 500125000 625156250 800200000 1000250000 1250312500 1562890625 2000500000 2500625000 3125781250 4001000000 5001250000 6251562500 10002500000 12503125000 20005000000 25006250000 50012500000 100025000000