Search a number
-
+
21000000120 = 23351121446281
BaseRepresentation
bin10011100011101100…
…101001001001111000
32000012112012112112020
4103203230221021320
5321002000000440
613351450514440
71342254025101
oct234354511170
960175175466
1021000000120
1189a6a52a00
1240a0a35a20
131c98914b98
1410330333a8
1582d94c3d0
hex4e3b29278

21000000120 has 96 divisors (see below), whose sum is σ = 69247982160. Its totient is φ = 5090905600.

The previous prime is 21000000113. The next prime is 21000000121. The reversal of 21000000120 is 2100000012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 21000000099 and 21000000108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708621 + ... + 737660.

Almost surely, 221000000120 is an apocalyptic number.

21000000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000000120 is an abundant number, since it is smaller than the sum of its proper divisors (48247982040).

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

21000000120 is a wasteful number, since it uses less digits than its factorization.

21000000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446317 (or 1446302 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 21000000120 its reverse (2100000012), we get a palindrome (23100000132).

The spelling of 21000000120 in words is "twenty-one billion, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 1446281 2892562 4338843 5785124 7231405 8677686 11570248 14462810 15909091 17355372 21694215 28925620 31818182 34710744 43388430 47727273 57851240 63636364 79545455 86776860 95454546 127272728 159090910 173553720 175000001 190909092 238636365 318181820 350000002 381818184 477272730 525000003 636363640 700000004 875000005 954545460 1050000006 1400000008 1750000010 1909090920 2100000012 2625000015 3500000020 4200000024 5250000030 7000000040 10500000060 21000000120