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2104101032 = 2311294871693
BaseRepresentation
bin111110101101010…
…0000100010101000
312102122020101222212
41331122200202220
513302122213112
6544442104252
7103066364225
oct17532404250
95378211885
102104101032
1198a78a280
124a87ab088
13276bc56c7
1415d63694c
15c4ac7522
hex7d6a08a8

2104101032 has 64 divisors (see below), whose sum is σ = 4464028800. Its totient is φ = 920989440.

The previous prime is 2104101023. The next prime is 2104101047. The reversal of 2104101032 is 2301014012.

It is a junction number, because it is equal to n+sod(n) for n = 2104100998 and 2104101016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241978 + ... + 1243670.

It is an arithmetic number, because the mean of its divisors is an integer number (69750450).

Almost surely, 22104101032 is an apocalyptic number.

2104101032 is a gapful number since it is divisible by the number (22) 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 2104101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232014400).

2104101032 is an abundant number, since it is smaller than the sum of its proper divisors (2359927768).

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

2104101032 is a wasteful number, since it uses less digits than its factorization.

2104101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2104101032 is about 45870.4810526334. The cubic root of 2104101032 is about 1281.4122254966.

Adding to 2104101032 its reverse (2301014012), we get a palindrome (4405115044).

The spelling of 2104101032 in words is "two billion, one hundred four million, one hundred one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 487 638 974 1276 1693 1948 2552 3386 3896 5357 6772 10714 13544 14123 18623 21428 28246 37246 42856 49097 56492 74492 98194 112984 148984 155353 196388 310706 392776 540067 621412 824491 1080134 1242824 1648982 2160268 3297964 4320536 6595928 9069401 18138802 23910239 36277604 47820478 72555208 95640956 191281912 263012629 526025258 1052050516 2104101032