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2020001312 = 25723217047
BaseRepresentation
bin111100001100110…
…1100011000100000
312012202222200212102
41320121230120200
513114110020222
6532235345532
7101025504440
oct17031543040
95182880772
102020001312
1194726897a
124845b22a8
1326265b264
141523c4120
15bc513d92
hex7866c620

2020001312 has 72 divisors (see below), whose sum is σ = 4751482176. Its totient is φ = 828026496.

The previous prime is 2020001303. The next prime is 2020001317. The reversal of 2020001312 is 2131000202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2020001293 and 2020001302.

It is not an unprimeable number, because it can be changed into a prime (2020001317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109973 + ... + 127019.

It is an arithmetic number, because the mean of its divisors is an integer number (65992808).

Almost surely, 22020001312 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 2020001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375741088).

2020001312 is an abundant number, since it is smaller than the sum of its proper divisors (2731480864).

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

2020001312 is a wasteful number, since it uses less digits than its factorization.

2020001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17110 (or 17079 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2020001312 is about 44944.4247042945. The cubic root of 2020001312 is about 1264.1071385444.

Adding to 2020001312 its reverse (2131000202), we get a palindrome (4151001514).

The spelling of 2020001312 in words is "two billion, twenty million, one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 529 644 736 1058 1288 2116 2576 3703 4232 5152 7406 8464 14812 16928 17047 29624 34094 59248 68188 118496 119329 136376 238658 272752 392081 477316 545504 784162 954632 1568324 1909264 2744567 3136648 3818528 5489134 6273296 9017863 10978268 12546592 18035726 21956536 36071452 43913072 63125041 72142904 87826144 126250082 144285808 252500164 288571616 505000328 1010000656 2020001312