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2107104300 = 2233527111487
BaseRepresentation
bin111110110010111…
…1101110000101100
312102211212222201000
41331211331300230
513303404314200
6545030320300
7103134043140
oct17545756054
95384788630
102107104300
11991450714
124a97b9090
132777076a2
1415dbb9220
15c4ebc300
hex7d97dc2c

2107104300 has 144 divisors (see below), whose sum is σ = 7741726720. Its totient is φ = 481619520.

The previous prime is 2107104277. The next prime is 2107104323. The reversal of 2107104300 is 34017012.

It is an interprime number because it is at equal distance from previous prime (2107104277) and next prime (2107104323).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 36844 + ... + 74643.

Almost surely, 22107104300 is an apocalyptic number.

2107104300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2107104300 is an abundant number, since it is smaller than the sum of its proper divisors (5634622420).

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

2107104300 is a wasteful number, since it uses less digits than its factorization.

2107104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111517 (or 111504 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2107104300 is about 45903.2057704034. The cubic root of 2107104300 is about 1282.0216060539.

The spelling of 2107104300 in words is "two billion, one hundred seven million, one hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 111487 222974 334461 445948 557435 668922 780409 1003383 1114870 1337844 1560818 1672305 2006766 2229740 2341227 2787175 3010149 3121636 3344610 3902045 4013532 4682454 5016915 5574350 6020298 6689220 7023681 7804090 8361525 9364908 10033830 11148700 11706135 12040596 14047362 15050745 15608180 16723050 19510225 20067660 21071043 23412270 25084575 28094724 30101490 33446100 35118405 39020450 42142086 46824540 50169150 58530675 60202980 70236810 75253725 78040900 84284172 100338300 105355215 117061350 140473620 150507450 175592025 210710430 234122700 301014900 351184050 421420860 526776075 702368100 1053552150 2107104300