Search a number
-
+
21001233420 = 2233571547763
BaseRepresentation
bin10011100011110001…
…010110010000001100
32000012121112012022000
4103203301112100030
5321002303432140
613351533152300
71342300352526
oct234361262014
960177465260
1021001233420
1189a7715562
1240a132b690
131c98c5734b
141033274a16
1582dae2a30
hex4e3c5640c

21001233420 has 96 divisors (see below), whose sum is σ = 66257533440. Its totient is φ = 5521440960.

The previous prime is 21001233419. The next prime is 21001233437. The reversal of 21001233420 is 2433210012.

21001233420 is a `hidden beast` number, since 2 + 10 + 0 + 1 + 233 + 420 = 666.

It is a super-2 number, since 2×210012334202 (a number of 21 digits) contains 22 as substring.

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 = 21001233393 and 21001233402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235542 + ... + 312221.

It is an arithmetic number, because the mean of its divisors is an integer number (690182640).

Almost surely, 221001233420 is an apocalyptic number.

21001233420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001233420 is an abundant number, since it is smaller than the sum of its proper divisors (45256300020).

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

21001233420 is a wasteful number, since it uses less digits than its factorization.

21001233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547852 (or 547844 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21001233420 its reverse (2433210012), we get a palindrome (23434443432).

The spelling of 21001233420 in words is "twenty-one billion, one million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 6390 7668 9585 12780 19170 38340 547763 1095526 1643289 2191052 2738815 3286578 4929867 5477630 6573156 8216445 9859734 10955260 14789601 16432890 19719468 24649335 29579202 32865780 38891173 49298670 59158404 73948005 77782346 98597340 116673519 147896010 155564692 194455865 233347038 295792020 350020557 388911730 466694076 583367595 700041114 777823460 1050061671 1166735190 1400082228 1750102785 2100123342 2333470380 3500205570 4200246684 5250308355 7000411140 10500616710 21001233420