Search a number
-
+
2103042100 = 2252613071123
BaseRepresentation
bin111110101011001…
…1110000000110100
312102120020121102011
41331112132000310
513301334321400
6544403254004
7103054364035
oct17526360064
95376217364
102103042100
1198a126725
124a837a304
13276914713
1415d43ca8c
15c49688ba
hex7d59e034

2103042100 has 72 divisors (see below), whose sum is σ = 4657667168. Its totient is φ = 823996800.

The previous prime is 2103042091. The next prime is 2103042101. The reversal of 2103042100 is 12403012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103042101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1872139 + ... + 1873261.

Almost surely, 22103042100 is an apocalyptic number.

2103042100 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 2103042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328833584).

2103042100 is an abundant number, since it is smaller than the sum of its proper divisors (2554625068).

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

2103042100 is a wasteful number, since it uses less digits than its factorization.

2103042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2103042100 is about 45858.9369697990. The cubic root of 2103042100 is about 1281.1972237631.

Adding to 2103042100 its reverse (12403012), we get a palindrome (2115445112).

The spelling of 2103042100 in words is "two billion, one hundred three million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 307 610 614 1123 1220 1228 1525 1535 2246 3050 3070 4492 5615 6100 6140 7675 11230 15350 18727 22460 28075 30700 37454 56150 68503 74908 93635 112300 137006 187270 274012 342515 344761 374540 468175 685030 689522 936350 1370060 1379044 1712575 1723805 1872700 3425150 3447610 6850300 6895220 8619025 17238050 21030421 34476100 42060842 84121684 105152105 210304210 420608420 525760525 1051521050 2103042100