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20212312000 = 26532938623
BaseRepresentation
bin10010110100101111…
…110110011111000000
31221011122000211120011
4102310233312133000
5312343322441000
613141351554304
71313610550216
oct226457663700
957148024504
1020212312000
118632361191
123b0108b994
131ba1682c3a
14d9a590cb6
157d47082ba
hex4b4bf67c0

20212312000 has 112 divisors (see below), whose sum is σ = 50232454272. Its totient is φ = 8056396800.

The previous prime is 20212311991. The next prime is 20212312079. The reversal of 20212312000 is 21321202.

It is a congruent number.

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, 2339689 + ... + 2348311.

It is an arithmetic number, because the mean of its divisors is an integer number (448504056).

Almost surely, 220212312000 is an apocalyptic number.

20212312000 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 20212312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116227136).

20212312000 is an abundant number, since it is smaller than the sum of its proper divisors (30020142272).

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

20212312000 is an equidigital number, since it uses as much as digits as its factorization.

20212312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8943 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20212312000 its reverse (21321202), we get a palindrome (20233633202).

The spelling of 20212312000 in words is "twenty billion, two hundred twelve million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 293 320 400 500 586 800 1000 1172 1465 1600 2000 2344 2930 4000 4688 5860 7325 8000 8623 9376 11720 14650 17246 18752 23440 29300 34492 36625 43115 46880 58600 68984 73250 86230 93760 117200 137968 146500 172460 215575 234400 275936 293000 344920 431150 468800 551872 586000 689840 862300 1077875 1172000 1379680 1724600 2155750 2344000 2526539 2759360 3449200 4311500 5053078 6898400 8623000 10106156 12632695 13796800 17246000 20212312 25265390 34492000 40424624 50530780 63163475 68984000 80849248 101061560 126326950 161698496 202123120 252653900 315817375 404246240 505307800 631634750 808492480 1010615600 1263269500 2021231200 2526539000 4042462400 5053078000 10106156000 20212312000