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100911412098 = 232711313950989
BaseRepresentation
bin101110111111011001…
…0011111001110000010
3100122110200121212121100
41131332302133032002
53123131310141343
6114205201435230
710201451564430
oct1357662371602
9318420555540
10100911412098
1139883952542
121768303bb16
1396925a0643
144c5410bd50
15295926c9d3
hex177ec9f382

100911412098 has 96 divisors (see below), whose sum is σ = 253905724800. Its totient is φ = 28370539008.

The previous prime is 100911412097. The next prime is 100911412111. The reversal of 100911412098 is 890214119001.

It is a super-2 number, since 2×1009114120982 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100911412097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1953588 + ... + 2004576.

It is an arithmetic number, because the mean of its divisors is an integer number (2644851300).

Almost surely, 2100911412098 is an apocalyptic number.

100911412098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100911412098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126952862400).

100911412098 is an abundant number, since it is smaller than the sum of its proper divisors (152994312702).

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

100911412098 is a wasteful number, since it uses less digits than its factorization.

100911412098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51256 (or 51253 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 100911412098 in words is "one hundred billion, nine hundred eleven million, four hundred twelve thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 139 226 278 339 417 678 791 834 973 1017 1251 1582 1946 2034 2373 2502 2919 4746 5838 7119 8757 14238 15707 17514 31414 47121 50989 94242 101978 109949 141363 152967 219898 282726 305934 329847 356923 458901 659694 713846 917802 989541 1070769 1979082 2141538 3212307 5761757 6424614 7087471 11523514 14174942 17285271 21262413 34570542 40332299 42524826 49612297 51855813 63787239 80664598 99224594 103711626 120996897 127574478 148836891 241993794 297673782 362990691 446510673 725981382 800884223 893021346 1601768446 2402652669 4805305338 5606189561 7207958007 11212379122 14415916014 16818568683 33637137366 50455706049 100911412098