Search a number
-
+
21412103400 = 23325211895613
BaseRepresentation
bin10011111100010000…
…101100010011101000
32001021020122112221200
4103330100230103220
5322322444302100
613500411404200
71355416606302
oct237420542350
961236575850
1021412103400
119098635226
124196a53660
13203310348c
141071a68972
15854c01e00
hex4fc42c4e8

21412103400 has 72 divisors (see below), whose sum is σ = 71908986630. Its totient is φ = 5709893760.

The previous prime is 21412103387. The next prime is 21412103407. The reversal of 21412103400 is 430121412.

It can be written as a sum of positive squares in 3 ways, for example, as 13189603716 + 8222499684 = 114846^2 + 90678^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (21412103407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5946007 + ... + 5949606.

Almost surely, 221412103400 is an apocalyptic number.

21412103400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21412103400 is an abundant number, since it is smaller than the sum of its proper divisors (50496883230).

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

21412103400 is a wasteful number, since it uses less digits than its factorization.

21412103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11895635 (or 11895623 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21412103400 its reverse (430121412), we get a palindrome (21842224812).

The spelling of 21412103400 in words is "twenty-one billion, four hundred twelve million, one hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11895613 23791226 35686839 47582452 59478065 71373678 95164904 107060517 118956130 142747356 178434195 214121034 237912260 285494712 297390325 356868390 428242068 475824520 535302585 594780650 713736780 856484136 892170975 1070605170 1189561300 1427473560 1784341950 2141210340 2379122600 2676512925 3568683900 4282420680 5353025850 7137367800 10706051700 21412103400