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2100919194 = 235111723117
BaseRepresentation
bin111110100111001…
…0111101110011010
312102102020202100000
41331032113232122
513300313403234
6544245553430
7103030342563
oct17516275632
95372222300
102100919194
11988a06760
124a7715876
1327635036a
1415d04916a
15c4699899
hex7d397b9a

2100919194 has 96 divisors (see below), whose sum is σ = 5452888896. Its totient is φ = 599166720.

The previous prime is 2100919189. The next prime is 2100919229. The reversal of 2100919194 is 4919190012.

It is a super-2 number, since 2×21009191942 = 8827722919435219272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79324 + ... + 102440.

It is an arithmetic number, because the mean of its divisors is an integer number (56800926).

Almost surely, 22100919194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100919194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726444448).

2100919194 is an abundant number, since it is smaller than the sum of its proper divisors (3351969702).

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

2100919194 is a wasteful number, since it uses less digits than its factorization.

2100919194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23162 (or 23150 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 2100919194 is about 45835.7850810914. The cubic root of 2100919194 is about 1280.7659791118.

The spelling of 2100919194 in words is "two billion, one hundred million, nine hundred nineteen thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 243 297 306 374 459 486 561 594 891 918 1122 1377 1683 1782 2673 2754 3366 4131 5049 5346 8262 10098 15147 23117 30294 45441 46234 69351 90882 138702 208053 254287 392989 416106 508574 624159 762861 785978 1178967 1248318 1525722 1872477 2288583 2357934 3536901 3744954 4322879 4577166 5617431 6865749 7073802 8645758 10610703 11234862 12968637 13731498 20597247 21221406 25937274 31832109 38905911 41194494 61791741 63664218 77811822 95496327 116717733 123583482 190992654 233435466 350153199 700306398 1050459597 2100919194