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20003220612 = 223217232949003
BaseRepresentation
bin10010101000010010…
…001110110010000100
31220122001120220002200
4102220102032302010
5311431311024422
613104522234500
71305461366304
oct225022166204
956561526080
1020003220612
118535329791
123a63055a30
131b6a26481b
14d7a8c3604
157c11a52ac
hex4a848ec84

20003220612 has 144 divisors (see below), whose sum is σ = 57793357440. Its totient is φ = 5795564544.

The previous prime is 20003220581. The next prime is 20003220613. The reversal of 20003220612 is 21602230002.

20003220612 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 32 + 20 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20003220613) 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 47 ways as a sum of consecutive naturals, for example, 383703 + ... + 432705.

It is an arithmetic number, because the mean of its divisors is an integer number (401342760).

Almost surely, 220003220612 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 20003220612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28896678720).

20003220612 is an abundant number, since it is smaller than the sum of its proper divisors (37790136828).

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

20003220612 is a wasteful number, since it uses less digits than its factorization.

20003220612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49082 (or 49077 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20003220612 its reverse (21602230002), we get a palindrome (41605450614).

The spelling of 20003220612 in words is "twenty billion, three million, two hundred twenty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 23 29 34 36 46 51 58 68 69 87 92 102 116 138 153 174 204 207 261 276 306 348 391 414 493 522 612 667 782 828 986 1044 1173 1334 1479 1564 1972 2001 2346 2668 2958 3519 4002 4437 4692 5916 6003 7038 8004 8874 11339 12006 14076 17748 22678 24012 34017 45356 49003 68034 98006 102051 136068 147009 196012 204102 294018 408204 441027 588036 833051 882054 1127069 1421087 1666102 1764108 2254138 2499153 2842174 3332204 3381207 4263261 4508276 4998306 5684348 6762414 7497459 8526522 9996612 10143621 12789783 13524828 14994918 17053044 19160173 20287242 24158479 25579566 29989836 32685001 38320346 40574484 48316958 51159132 57480519 65370002 72475437 76640692 96633916 98055003 114961038 130740004 144950874 172441557 196110006 217426311 229922076 289901748 294165009 344883114 392220012 434852622 555645017 588330018 689766228 869705244 1111290034 1176660036 1666935051 2222580068 3333870102 5000805153 6667740204 10001610306 20003220612