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2104026100 = 22521111316927
BaseRepresentation
bin111110101101000…
…1110001111110100
312102122002121012121
41331122032033310
513302112313400
6544440325324
7103065632611
oct17532161764
95378077177
102104026100
1198a738a50
124a8773844
13276b9a577
1415d617508
15c4ab021a
hex7d68e3f4

2104026100 has 72 divisors (see below), whose sum is σ = 5025178368. Its totient is φ = 758284800.

The previous prime is 2104026083. The next prime is 2104026103. The reversal of 2104026100 is 16204012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104026103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115837 + ... + 132763.

It is an arithmetic number, because the mean of its divisors is an integer number (69794144).

Almost surely, 22104026100 is an apocalyptic number.

2104026100 is a gapful number since it is divisible by the number (20) 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 2104026100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512589184).

2104026100 is an abundant number, since it is smaller than the sum of its proper divisors (2921152268).

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

2104026100 is a wasteful number, since it uses less digits than its factorization.

2104026100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17065 (or 17058 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2104026100 is about 45869.6642673565. The cubic root of 2104026100 is about 1281.3970139456.

The spelling of 2104026100 in words is "two billion, one hundred four million, twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 113 220 226 275 452 550 565 1100 1130 1243 2260 2486 2825 4972 5650 6215 11300 12430 16927 24860 31075 33854 62150 67708 84635 124300 169270 186197 338540 372394 423175 744788 846350 930985 1692700 1861970 1912751 3723940 3825502 4654925 7651004 9309850 9563755 18619700 19127510 21040261 38255020 42080522 47818775 84161044 95637550 105201305 191275100 210402610 420805220 526006525 1052013050 2104026100