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1101112100020 = 225431427897241
BaseRepresentation
bin10000000001011111011…
…001010100010010110100
310220021011101200022011101
4100001133121110102310
5121020034144200040
62201502141415444
7142360404264442
oct20013731242264
93807141608141
101101112100020
11394a85090219
121594a026a584
137cab030461a
143b419075b92
151d99842709a
hex1005f6544b4

1101112100020 has 48 divisors (see below), whose sum is σ = 2367771392448. Its totient is φ = 429899984640.

The previous prime is 1101112099993. The next prime is 1101112100021. The reversal of 1101112100020 is 200012111011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101112100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778600 + ... + 1675840.

It is an arithmetic number, because the mean of its divisors is an integer number (49328570676).

Almost surely, 21101112100020 is an apocalyptic number.

1101112100020 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 1101112100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183885696224).

1101112100020 is an abundant number, since it is smaller than the sum of its proper divisors (1266659292428).

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

1101112100020 is a wasteful number, since it uses less digits than its factorization.

1101112100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898720 (or 898718 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1101112100020 its reverse (200012111011), we get a palindrome (1301124211031).

The spelling of 1101112100020 in words is "one trillion, one hundred one billion, one hundred twelve million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1427 2854 5708 7135 14270 28540 61361 122722 245444 306805 613610 897241 1227220 1794482 3588964 4486205 8972410 17944820 38581363 77162726 154325452 192906815 385813630 771627260 1280362907 2560725814 5121451628 6401814535 12803629070 25607258140 55055605001 110111210002 220222420004 275278025005 550556050010 1101112100020