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1220010512 = 247291013719
BaseRepresentation
bin100100010110111…
…1110001000010000
310011000122221210112
41020231332020100
54444310314022
6321021020452
742142626650
oct11055761020
93130587715
101220010512
11576733a56
122a06b4728
131659ac616
14b805c360
157218e8e2
hex48b7e210

1220010512 has 80 divisors (see below), whose sum is σ = 2823033600. Its totient is φ = 499699200.

The previous prime is 1220010511. The next prime is 1220010521. The reversal of 1220010512 is 2150100221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1220010511) 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 15 ways as a sum of consecutive naturals, for example, 326189 + ... + 329907.

It is an arithmetic number, because the mean of its divisors is an integer number (35287920).

Almost surely, 21220010512 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 1220010512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411516800).

1220010512 is an abundant number, since it is smaller than the sum of its proper divisors (1603023088).

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

1220010512 is a wasteful number, since it uses less digits than its factorization.

1220010512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1220010512 is about 34928.6488716641. The cubic root of 1220010512 is about 1068.5327990976.

Adding to 1220010512 its reverse (2150100221), we get a palindrome (3370110733).

The spelling of 1220010512 in words is "one billion, two hundred twenty million, ten thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 101 112 116 202 203 232 404 406 464 707 808 812 1414 1616 1624 2828 2929 3248 3719 5656 5858 7438 11312 11716 14876 20503 23432 26033 29752 41006 46864 52066 59504 82012 104132 107851 164024 208264 215702 328048 375619 416528 431404 751238 754957 862808 1502476 1509914 1725616 2629333 3004952 3019828 5258666 6009904 6039656 10517332 10892951 12079312 21034664 21785902 42069328 43571804 76250657 87143608 152501314 174287216 305002628 610005256 1220010512