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2100423420 = 223354782759
BaseRepresentation
bin111110100110001…
…1110101011111100
312102101022120021000
41331030132223330
513300202022140
6544231210300
7103023206304
oct17514365374
95371276230
102100423420
119886a8227
124a7516990
132762087c4
1415cd5a604
15c45eca30
hex7d31eafc

2100423420 has 96 divisors (see below), whose sum is σ = 6673766400. Its totient is φ = 548188992.

The previous prime is 2100423361. The next prime is 2100423421. The reversal of 2100423420 is 243240012.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100423393 and 2100423402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100423421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16000 + ... + 66759.

It is an arithmetic number, because the mean of its divisors is an integer number (69518400).

Almost surely, 22100423420 is an apocalyptic number.

2100423420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100423420 is an abundant number, since it is smaller than the sum of its proper divisors (4573342980).

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

2100423420 is a wasteful number, since it uses less digits than its factorization.

2100423420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82824 (or 82816 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2100423420 is about 45830.3766076606. The cubic root of 2100423420 is about 1280.6652263195.

Adding to 2100423420 its reverse (243240012), we get a palindrome (2343663432).

The spelling of 2100423420 in words is "two billion, one hundred million, four hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 25380 82759 165518 248277 331036 413795 496554 744831 827590 993108 1241385 1489662 1655180 2234493 2482770 2979324 3724155 3889673 4468986 4965540 7448310 7779346 8937972 11172465 11669019 14896620 15558692 19448365 22344930 23338038 35007057 38896730 44689860 46676076 58345095 70014114 77793460 105021171 116690190 140028228 175035285 210042342 233380380 350070570 420084684 525105855 700141140 1050211710 2100423420