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20012103320 = 23511311639001
BaseRepresentation
bin10010101000110100…
…000111011010011000
31220122200022011212212
4102220310013122120
5311441044301240
613105440454252
71305630033356
oct225064073230
956580264785
1020012103320
11853a346470
123a6601a388
131b6c054971
14d7bb567d6
157c1d5c165
hex4a8d07698

20012103320 has 128 divisors (see below), whose sum is σ = 51021895680. Its totient is φ = 6998400000.

The previous prime is 20012103317. The next prime is 20012103323. The reversal of 20012103320 is 2330121002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20012103317) and next prime (20012103323).

It is a junction number, because it is equal to n+sod(n) for n = 20012103295 and 20012103304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012103323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2218820 + ... + 2227820.

It is an arithmetic number, because the mean of its divisors is an integer number (398608560).

Almost surely, 220012103320 is an apocalyptic number.

20012103320 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 20012103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25510947840).

20012103320 is an abundant number, since it is smaller than the sum of its proper divisors (31009792360).

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

20012103320 is a wasteful number, since it uses less digits than its factorization.

20012103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9217 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20012103320 its reverse (2330121002), we get a palindrome (22342224322).

The spelling of 20012103320 in words is "twenty billion, twelve million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 163 220 248 310 326 341 440 620 652 682 815 1240 1304 1364 1630 1705 1793 2728 3260 3410 3586 5053 6520 6820 7172 8965 9001 10106 13640 14344 17930 18002 20212 25265 35860 36004 40424 45005 50530 55583 71720 72008 90010 99011 101060 111166 180020 198022 202120 222332 277915 279031 360040 396044 444664 495055 555830 558062 792088 990110 1111660 1116124 1395155 1467163 1980220 2223320 2232248 2790310 2934326 3069341 3960440 5580620 5868652 6138682 7335815 11161240 11737304 12277364 14671630 15346705 16138793 24554728 29343260 30693410 32277586 45482053 58686520 61386820 64555172 80693965 90964106 122773640 129110344 161387930 181928212 227410265 322775860 363856424 454820530 500302583 645551720 909641060 1000605166 1819282120 2001210332 2501512915 4002420664 5003025830 10006051660 20012103320