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2100314034 = 2327139713219
BaseRepresentation
bin111110100110000…
…0011111110110010
312102101010000012200
41331030003332302
513300140022114
6544225004030
7103022242350
oct17514037662
95371100180
102100314034
11988633025
124a7483616
1327619aa90
1415cd2c7d0
15c45ca409
hex7d303fb2

2100314034 has 96 divisors (see below), whose sum is σ = 5659006080. Its totient is φ = 548176896.

The previous prime is 2100313993. The next prime is 2100314039. The reversal of 2100314034 is 4304130012.

It is a super-2 number, since 2×21003140342 = 8822638082834706312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2100313998 and 2100314016.

It is not an unprimeable number, because it can be changed into a prime (2100314039) 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, 152277 + ... + 165495.

It is an arithmetic number, because the mean of its divisors is an integer number (58947980).

Almost surely, 22100314034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100314034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829503040).

2100314034 is an abundant number, since it is smaller than the sum of its proper divisors (3558692046).

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

2100314034 is a wasteful number, since it uses less digits than its factorization.

2100314034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13344 (or 13341 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2100314034 is about 45829.1832133194. The cubic root of 2100314034 is about 1280.6429944087.

Adding to 2100314034 its reverse (4304130012), we get a palindrome (6404444046).

The spelling of 2100314034 in words is "two billion, one hundred million, three hundred fourteen thousand, thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 97 117 126 182 194 234 273 291 546 582 679 819 873 1261 1358 1638 1746 2037 2522 3783 4074 6111 7566 8827 11349 12222 13219 17654 22698 26438 26481 39657 52962 79314 79443 92533 118971 158886 171847 185066 237942 277599 343694 515541 555198 832797 1031082 1202929 1282243 1546623 1665594 2405858 2564486 3093246 3608787 3846729 7217574 7693458 8975701 10826361 11540187 16669159 17951402 21652722 23080374 26927103 33338318 50007477 53854206 80781309 100014954 116684113 150022431 161562618 233368226 300044862 350052339 700104678 1050157017 2100314034