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100111000100 = 225231318710133
BaseRepresentation
bin101110100111100010…
…1001010001000100100
3100120101220111201202112
41131033011022020210
53120011404000400
6113553530100152
710142562313646
oct1351705121044
9316356451675
10100111000100
1139503060121
121749ab7a658
139595805087
144bb9ab6896
15290dd63835
hex174f14a224

100111000100 has 72 divisors (see below), whose sum is σ = 224341141248. Its totient is φ = 38736662400.

The previous prime is 100111000097. The next prime is 100111000109. The reversal of 100111000100 is 1000111001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (100111000109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9874634 + ... + 9884766.

It is an arithmetic number, because the mean of its divisors is an integer number (3115849184).

Almost surely, 2100111000100 is an apocalyptic number.

100111000100 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 100111000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112170570624).

100111000100 is an abundant number, since it is smaller than the sum of its proper divisors (124230141148).

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

100111000100 is a wasteful number, since it uses less digits than its factorization.

100111000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13365 (or 13358 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100111000100 its reverse (1000111001), we get a palindrome (101111111101).

The spelling of 100111000100 in words is "one hundred billion, one hundred eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 3187 6374 10133 12748 15935 20266 31870 40532 50665 63740 79675 98797 101330 159350 197594 202660 253325 314123 318700 395188 493985 506650 628246 987970 1013300 1256492 1570615 1975940 2469925 3141230 4939850 6282460 7853075 9879700 15706150 31412300 32293871 64587742 129175484 161469355 322938710 645877420 807346775 1001110001 1614693550 2002220002 3229387100 4004440004 5005550005 10011100010 20022200020 25027750025 50055500050 100111000100