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100111111020 = 223251075197877
BaseRepresentation
bin101110100111100010…
…1100101001101101100
3100120101220201100220200
41131033011211031230
53120011421023040
6113553532313500
710142563255224
oct1351705451554
9316356640820
10100111111020
1139503126498
121749b012890
1395958436cb
144bb9b05084
15290dd86630
hex174f16536c

100111111020 has 72 divisors (see below), whose sum is σ = 306508469904. Its totient is φ = 26446793088.

The previous prime is 100111111013. The next prime is 100111111021. The reversal of 100111111020 is 20111111001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100111110993 and 100111111011.

It is not an unprimeable number, because it can be changed into a prime (100111111021) 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, 2579679 + ... + 2618198.

It is an arithmetic number, because the mean of its divisors is an integer number (4257062082).

Almost surely, 2100111111020 is an apocalyptic number.

100111111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111111020 is an abundant number, since it is smaller than the sum of its proper divisors (206397358884).

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

100111111020 is a wasteful number, since it uses less digits than its factorization.

100111111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197999 (or 5197994 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111111020 its reverse (20111111001), we get a palindrome (120222222021).

The spelling of 100111111020 in words is "one hundred billion, one hundred eleven million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 19260 5197877 10395754 15593631 20791508 25989385 31187262 46780893 51978770 62374524 77968155 93561786 103957540 155936310 187123572 233904465 311872620 467808930 556172839 935617860 1112345678 1668518517 2224691356 2780864195 3337037034 5005555551 5561728390 6674074068 8342592585 10011111102 11123456780 16685185170 20022222204 25027777755 33370370340 50055555510 100111111020