Search a number
-
+
21122032020 = 22356114873881
BaseRepresentation
bin10011101010111110…
…001010000110010100
32000112000211101211020
4103222332022012110
5321224220011040
613411530241140
71345265211165
oct235276120624
960460741736
1021122032020
118a59922311
1241158861b0
131cb7ca08cb
14104531b76c
15839504cd0
hex4eaf8a194

21122032020 has 96 divisors (see below), whose sum is σ = 60167149056. Its totient is φ = 5535052800.

The previous prime is 21122031989. The next prime is 21122032027. The reversal of 21122032020 is 2023022112.

It is a happy number.

It is a super-2 number, since 2×211220320202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122032027) 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 31 ways as a sum of consecutive naturals, for example, 5440480 + ... + 5444360.

It is an arithmetic number, because the mean of its divisors is an integer number (626741136).

Almost surely, 221122032020 is an apocalyptic number.

21122032020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30083574528).

21122032020 is an abundant number, since it is smaller than the sum of its proper divisors (39045117036).

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

21122032020 is a wasteful number, since it uses less digits than its factorization.

21122032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21122032020 its reverse (2023022112), we get a palindrome (23145054132).

The spelling of 21122032020 in words is "twenty-one billion, one hundred twenty-two million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1487 1830 2974 3660 3881 4461 5948 7435 7762 8922 11643 14870 15524 17844 19405 22305 23286 29740 38810 44610 46572 58215 77620 89220 90707 116430 181414 232860 236741 272121 362828 453535 473482 544242 710223 907070 946964 1088484 1183705 1360605 1420446 1814140 2367410 2721210 2840892 3551115 4734820 5442420 5771047 7102230 11542094 14204460 17313141 23084188 28855235 34626282 57710470 69252564 86565705 115420940 173131410 346262820 352033867 704067734 1056101601 1408135468 1760169335 2112203202 3520338670 4224406404 5280508005 7040677340 10561016010 21122032020