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100023120020 = 225179109125609
BaseRepresentation
bin101110100100111010…
…1111011000010010100
3100120011210010221221202
41131021311323002110
53114321404320040
6113541110332032
710140444330545
oct1351165730224
9316153127852
10100023120020
113946849755a
121747565a018
139580546025
144bac15c4cc
1529062a5015
hex1749d7b094

100023120020 has 48 divisors (see below), whose sum is σ = 211423867200. Its totient is φ = 39747713280.

The previous prime is 100023120017. The next prime is 100023120037. The reversal of 100023120020 is 20021320001.

It is a happy number.

100023120020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100023119983 and 100023120010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3892976 + ... + 3918584.

It is an arithmetic number, because the mean of its divisors is an integer number (4404663900).

Almost surely, 2100023120020 is an apocalyptic number.

100023120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100023120020 is an abundant number, since it is smaller than the sum of its proper divisors (111400747180).

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

100023120020 is a wasteful number, since it uses less digits than its factorization.

100023120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26888 (or 26886 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100023120020 its reverse (20021320001), we get a palindrome (120044440021).

The spelling of 100023120020 in words is "one hundred billion, twenty-three million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 179 358 716 895 1091 1790 2182 3580 4364 5455 10910 21820 25609 51218 102436 128045 195289 256090 390578 512180 781156 976445 1952890 3905780 4584011 9168022 18336044 22920055 27939419 45840110 55878838 91680220 111757676 139697095 279394190 558788380 5001156001 10002312002 20004624004 25005780005 50011560010 100023120020