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21120102320 = 2451757127197
BaseRepresentation
bin10011101010110110…
…110010111110110000
32000111220012100202212
4103222312302332300
5321223221233240
613411421031252
71345242623222
oct235266627660
960456170685
1021120102320
118a58824519
1241150b5528
131cb7776485
141044d78412
15839273165
hex4eadb2fb0

21120102320 has 80 divisors (see below), whose sum is σ = 52085693088. Its totient is φ = 7936880640.

The previous prime is 21120102319. The next prime is 21120102323. The reversal of 21120102320 is 2320102112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21120102295 and 21120102304.

It is not an unprimeable number, because it can be changed into a prime (21120102323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762962 + ... + 790158.

Almost surely, 221120102320 is an apocalyptic number.

21120102320 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 21120102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26042846544).

21120102320 is an abundant number, since it is smaller than the sum of its proper divisors (30965590768).

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

21120102320 is a wasteful number, since it uses less digits than its factorization.

21120102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27798 (or 27792 counting only the distinct ones).

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

Adding to 21120102320 its reverse (2320102112), we get a palindrome (23440204432).

The spelling of 21120102320 in words is "twenty-one billion, one hundred twenty million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 571 680 1142 1360 2284 2855 4568 5710 9136 9707 11420 19414 22840 27197 38828 45680 48535 54394 77656 97070 108788 135985 155312 194140 217576 271970 388280 435152 462349 543940 776560 924698 1087880 1849396 2175760 2311745 3698792 4623490 7397584 9246980 15529487 18493960 31058974 36987920 62117948 77647435 124235896 155294870 248471792 264001279 310589740 528002558 621179480 1056005116 1242358960 1320006395 2112010232 2640012790 4224020464 5280025580 10560051160 21120102320