Search a number
-
+
2031221120 = 27514812143
BaseRepresentation
bin111100100010001…
…1111100110000000
312020120002201112212
41321010133212000
513124443033440
6533320041252
7101223044315
oct17104374600
95216081485
102031221120
11952631545
12488303228
13264a890b6
14153aa4d0c
15bd4cd465
hex7911f980

2031221120 has 64 divisors (see below), whose sum is σ = 4861434240. Its totient is φ = 811560960.

The previous prime is 2031221117. The next prime is 2031221141. The reversal of 2031221120 is 211221302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2031221095 and 2031221104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 946769 + ... + 948911.

It is an arithmetic number, because the mean of its divisors is an integer number (75959910).

Almost surely, 22031221120 is an apocalyptic number.

2031221120 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 2031221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430717120).

2031221120 is an abundant number, since it is smaller than the sum of its proper divisors (2830213120).

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

2031221120 is a wasteful number, since it uses less digits than its factorization.

2031221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2031221120 is about 45069.0705473277. The cubic root of 2031221120 is about 1266.4432526866.

Adding to 2031221120 its reverse (211221302), we get a palindrome (2242442422).

The spelling of 2031221120 in words is "two billion, thirty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1481 2143 2962 4286 5924 7405 8572 10715 11848 14810 17144 21430 23696 29620 34288 42860 47392 59240 68576 85720 94784 118480 137152 171440 189568 236960 274304 342880 473920 685760 947840 1371520 3173783 6347566 12695132 15868915 25390264 31737830 50780528 63475660 101561056 126951320 203122112 253902640 406244224 507805280 1015610560 2031221120