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2120203312 = 2419101199347
BaseRepresentation
bin111111001011111…
…1011110000110000
312110202112111011121
41332113323300300
513320233001222
6550215152024
7103353300523
oct17627736060
95422474147
102120203312
11998888147
124b2075614
1327a342996
14161828bba
15c62085c7
hex7e5fbc30

2120203312 has 80 divisors (see below), whose sum is σ = 4401504000. Its totient is φ = 986515200.

The previous prime is 2120203307. The next prime is 2120203321. The reversal of 2120203312 is 2133020212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6109923 + ... + 6110269.

It is an arithmetic number, because the mean of its divisors is an integer number (55018800).

Almost surely, 22120203312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200752000).

2120203312 is an abundant number, since it is smaller than the sum of its proper divisors (2281300688).

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

2120203312 is a wasteful number, since it uses less digits than its factorization.

2120203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2120203312 is about 46045.6655071897. The cubic root of 2120203312 is about 1284.6727225997.

Adding to 2120203312 its reverse (2133020212), we get a palindrome (4253223524).

The spelling of 2120203312 in words is "two billion, one hundred twenty million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 101 152 199 202 304 347 398 404 694 796 808 1388 1592 1616 1919 2776 3184 3781 3838 5552 6593 7562 7676 13186 15124 15352 20099 26372 30248 30704 35047 40198 52744 60496 69053 70094 80396 105488 138106 140188 160792 276212 280376 321584 381881 552424 560752 665893 763762 1104848 1312007 1331786 1527524 2624014 2663572 3055048 5248028 5327144 6110096 6974353 10496056 10654288 13948706 20992112 27897412 55794824 111589648 132512707 265025414 530050828 1060101656 2120203312