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100020111198 = 23759226917789
BaseRepresentation
bin101110100100110101…
…0011100011101011110
3100120011120111002121220
41131021222130131132
53114320122024243
6113540522034210
710140406626510
oct1351152343536
9316146432556
10100020111198
1139466821a27
1217474648966
13957ca31667
144bab9b7bb0
152905dad783
hex1749a9c75e

100020111198 has 64 divisors (see below), whose sum is σ = 232607808000. Its totient is φ = 28078856064.

The previous prime is 100020111181. The next prime is 100020111211. The reversal of 100020111198 is 891111020001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5613688 + ... + 5631476.

It is an arithmetic number, because the mean of its divisors is an integer number (3634497000).

Almost surely, 2100020111198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100020111198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116303904000).

100020111198 is an abundant number, since it is smaller than the sum of its proper divisors (132587696802).

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

100020111198 is a wasteful number, since it uses less digits than its factorization.

100020111198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20129.

The product of its (nonzero) digits is 144, while the sum is 24.

Adding to 100020111198 its reverse (891111020001), we get a palindrome (991131131199).

The spelling of 100020111198 in words is "one hundred billion, twenty million, one hundred eleven thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 826 1239 2269 2478 4538 6807 13614 15883 17789 31766 35578 47649 53367 95298 106734 124523 133871 249046 267742 373569 401613 747138 803226 937097 1049551 1874194 2099102 2811291 3148653 5622582 6297306 7346857 14693714 22040571 40363241 44081142 80726482 121089723 242179446 282542687 565085374 847628061 1695256122 2381431219 4762862438 7144293657 14288587314 16670018533 33340037066 50010055599 100020111198