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100120000 = 26542503
BaseRepresentation
bin1011111011110…
…11010111000000
320222101121211011
411331323113000
5201112320000
613533530304
72324002021
oct575732700
9228347734
10100120000
1151573702
1229643994
1317986306
14d422c48
158bca2ba
hex5f7b5c0

100120000 has 70 divisors (see below), whose sum is σ = 248364248. Its totient is φ = 40032000.

The previous prime is 100119997. The next prime is 100120003. The reversal of 100120000 is 21001.

100120000 = T224 + T225 + ... + T848.

It is an interprime number because it is at equal distance from previous prime (100119997) and next prime (100120003).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38749 + ... + 41251.

Almost surely, 2100120000 is an apocalyptic number.

100120000 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 100120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124182124).

100120000 is an abundant number, since it is smaller than the sum of its proper divisors (148244248).

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

100120000 is an frugal number, since it uses more digits than its factorization.

100120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 100120000 is about 10005.9982010792. The cubic root of 100120000 is about 464.3444726987.

Adding to 100120000 its reverse (21001), we get a palindrome (100141001).

The spelling of 100120000 in words is "one hundred million, one hundred twenty thousand".

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 2503 4000 5000 5006 8000 10000 10012 12515 20000 20024 25030 40000 40048 50060 62575 80096 100120 125150 160192 200240 250300 312875 400480 500600 625750 800960 1001200 1251500 1564375 2002400 2503000 3128750 4004800 5006000 6257500 10012000 12515000 20024000 25030000 50060000 100120000