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2100350096 = 241317358369
BaseRepresentation
bin111110100110000…
…1100110010010000
312102101011211200022
41331030030302100
513300142200341
6544225443012
7103022452445
oct17514146220
95371154608
102100350096
11988658129
124a74a0468
132761b1310
1415cd3b9cc
15c45d5e4b
hex7d30cc90

2100350096 has 40 divisors (see below), whose sum is σ = 4407868920. Its totient is φ = 963772416.

The previous prime is 2100350081. The next prime is 2100350113. The reversal of 2100350096 is 6900530012.

It can be written as a sum of positive squares in 4 ways, for example, as 409495696 + 1690854400 = 20236^2 + 41120^2 .

It is a super-2 number, since 2×21003500962 = 8822941051534418432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6800 + ... + 65168.

It is an arithmetic number, because the mean of its divisors is an integer number (110196723).

Almost surely, 22100350096 is an apocalyptic number.

2100350096 is a gapful number since it is divisible by the number (26) 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 2100350096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203934460).

2100350096 is an abundant number, since it is smaller than the sum of its proper divisors (2307518824).

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

2100350096 is a wasteful number, since it uses less digits than its factorization.

2100350096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58563 (or 58557 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 2100350096 is about 45829.5766508922. The cubic root of 2100350096 is about 1280.6503238338.

The spelling of 2100350096 in words is "two billion, one hundred million, three hundred fifty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 173 208 346 692 1384 2249 2768 4498 8996 17992 35984 58369 116738 233476 466952 758797 933904 1517594 3035188 6070376 10097837 12140752 20195674 40391348 80782696 131271881 161565392 262543762 525087524 1050175048 2100350096