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2103234100 = 22521121011721
BaseRepresentation
bin111110101011100…
…1100111000110100
312102120121100210021
41331113030320310
513301411442400
6544411334524
7103056123562
oct17527147064
95376540707
102103234100
1198a247a00
124a8451444
13276980c26
1415d48ca32
15c49a571a
hex7d5cce34

2103234100 has 108 divisors (see below), whose sum is σ = 5069261484. Its totient is φ = 756800000.

The previous prime is 2103234079. The next prime is 2103234121. The reversal of 2103234100 is 14323012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2103234079) and next prime (2103234121).

It can be written as a sum of positive squares in 6 ways, for example, as 155600676 + 1947633424 = 12474^2 + 44132^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1221240 + ... + 1222960.

Almost surely, 22103234100 is an apocalyptic number.

2103234100 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 2103234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534630742).

2103234100 is an abundant number, since it is smaller than the sum of its proper divisors (2966027384).

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

2103234100 is a wasteful number, since it uses less digits than its factorization.

2103234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2103234100 is about 45861.0302980646. The cubic root of 2103234100 is about 1281.2362121062.

Adding to 2103234100 its reverse (14323012), we get a palindrome (2117557112).

The spelling of 2103234100 in words is "two billion, one hundred three million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 121 202 220 242 275 404 484 505 550 605 1010 1100 1111 1210 1721 2020 2222 2420 2525 3025 3442 4444 5050 5555 6050 6884 8605 10100 11110 12100 12221 17210 18931 22220 24442 27775 34420 37862 43025 48884 55550 61105 75724 86050 94655 111100 122210 172100 173821 189310 208241 244420 305525 347642 378620 416482 473275 611050 695284 832964 869105 946550 1041205 1222100 1738210 1893100 1912031 2082410 3476420 3824062 4164820 4345525 5206025 7648124 8691050 9560155 10412050 17382100 19120310 20824100 21032341 38240620 42064682 47800775 84129364 95601550 105161705 191203100 210323410 420646820 525808525 1051617050 2103234100