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100020000 = 253541667
BaseRepresentation
bin1011111011000…
…10111100100000
320222012112122110
411331202330200
5201101120000
613531435320
72323104333
oct575427440
9228175573
10100020000
1151505563
12295b5b40
131794c942
14d3d861a
158baa850
hex5f62f20

100020000 has 120 divisors (see below), whose sum is σ = 328282416. Its totient is φ = 26656000.

The previous prime is 100019977. The next prime is 100020023. The reversal of 100020000 is 20001.

It is a Cunningham number, because it is equal to 100012-1.

It is an interprime number because it is at equal distance from previous prime (100019977) and next prime (100020023).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59167 + ... + 60833.

Almost surely, 2100020000 is an apocalyptic number.

100020000 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 100020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164141208).

100020000 is an abundant number, since it is smaller than the sum of its proper divisors (228262416).

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

100020000 is an equidigital number, since it uses as much as digits as its factorization.

100020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 100020000 is about 10000.9999500050. Note that the first 4 decimals coincide. The cubic root of 100020000 is about 464.1898252241.

Adding to 100020000 its reverse (20001), we get a palindrome (100040001).

Subtracting from 100020000 its reverse (20001), we obtain a palindrome (99999999).

The spelling of 100020000 in words is "one hundred million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1667 1875 2000 2400 2500 3000 3334 3750 4000 5000 5001 6000 6668 7500 8335 10000 10002 12000 13336 15000 16670 20000 20004 25005 26672 30000 33340 40008 41675 50010 53344 60000 66680 80016 83350 100020 125025 133360 160032 166700 200040 208375 250050 266720 333400 400080 416750 500100 625125 666800 800160 833500 1000200 1041875 1250250 1333600 1667000 2000400 2083750 2500500 3125625 3334000 4000800 4167500 5001000 6251250 6668000 8335000 10002000 12502500 16670000 20004000 25005000 33340000 50010000 100020000