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2124331020 = 2232571685977
BaseRepresentation
bin111111010011110…
…1011100000001100
312111001022012022200
41332213223200030
513322312043040
6550443441500
7103433341620
oct17647534014
95431265280
102124331020
119a0147379
124b3526290
1327b159706
141621c1180
15c6771630
hex7e9eb80c

2124331020 has 72 divisors (see below), whose sum is σ = 7364351904. Its totient is φ = 485561088.

The previous prime is 2124330961. The next prime is 2124331031. The reversal of 2124331020 is 201334212.

2124331020 is a `hidden beast` number, since 212 + 433 + 1 + 0 + 20 = 666.

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 = 2124330984 and 2124331002.

It is an unprimeable number.

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, 841729 + ... + 844248.

Almost surely, 22124331020 is an apocalyptic number.

2124331020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124331020 is an abundant number, since it is smaller than the sum of its proper divisors (5240020884).

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

2124331020 is a wasteful number, since it uses less digits than its factorization.

2124331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685999 (or 1685994 counting only the distinct ones).

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

The square root of 2124331020 is about 46090.4656084097. The cubic root of 2124331020 is about 1285.5058685450.

Adding to 2124331020 its reverse (201334212), we get a palindrome (2325665232).

The spelling of 2124331020 in words is "two billion, one hundred twenty-four million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1685977 3371954 5057931 6743908 8429885 10115862 11801839 15173793 16859770 20231724 23603678 25289655 30347586 33719540 35405517 47207356 50579310 59009195 60695172 70811034 75868965 101158620 106216551 118018390 141622068 151737930 177027585 212433102 236036780 303475860 354055170 424866204 531082755 708110340 1062165510 2124331020