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100010020 = 22511835477
BaseRepresentation
bin1011111011000…
…00100000100100
320222012000221211
411331200200210
5201100310040
613531321204
72323033255
oct575404044
9228160854
10100010020
11514a9010
12295b0204
1317948236
14d3d4b2c
158ba78ea
hex5f60824

100010020 has 48 divisors (see below), whose sum is σ = 231916608. Its totient is φ = 35922560.

The previous prime is 100010017. The next prime is 100010021. The reversal of 100010020 is 20010001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100009991 and 100010009.

It is not an unprimeable number, because it can be changed into a prime (100010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15522 + ... + 20998.

It is an arithmetic number, because the mean of its divisors is an integer number (4831596).

Almost surely, 2100010020 is an apocalyptic number.

100010020 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 100010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115958304).

100010020 is an abundant number, since it is smaller than the sum of its proper divisors (131906588).

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

100010020 is a wasteful number, since it uses less digits than its factorization.

100010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580 (or 5578 counting only the distinct ones).

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

The square root of 100010020 is about 10000.5009874506. The cubic root of 100010020 is about 464.1743857502.

Adding to 100010020 its reverse (20010001), we get a palindrome (120020021).

The spelling of 100010020 in words is "one hundred million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 5477 9130 10954 18260 21908 27385 54770 60247 109540 120494 240988 301235 454591 602470 909182 1204940 1818364 2272955 4545910 5000501 9091820 10001002 20002004 25002505 50005010 100010020