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2131322001000 = 233531275594021
BaseRepresentation
bin11111000000111100101…
…100001101011001101000
321112202022111100201000220
4133000330230031121220
5234404421413013000
64311041003130040
7306661101044523
oct37007454153150
97482274321026
102131322001000
11751985784925
122a5093513920
13125ca12a7cca
1475229765bba
153a691e2a1a0
hex1f03cb0d668

2131322001000 has 128 divisors (see below), whose sum is σ = 6702085877760. Its totient is φ = 563877216000.

The previous prime is 2131322000993. The next prime is 2131322001007. The reversal of 2131322001000 is 1002231312.

It is an interprime number because it is at equal distance from previous prime (2131322000993) and next prime (2131322001007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2131322001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2416011 + ... + 3178010.

It is an arithmetic number, because the mean of its divisors is an integer number (52360045920).

Almost surely, 22131322001000 is an apocalyptic number.

2131322001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131322001000 is an abundant number, since it is smaller than the sum of its proper divisors (4570763876760).

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

2131322001000 is a wasteful number, since it uses less digits than its factorization.

2131322001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594172 (or 5594158 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2131322001000 its reverse (1002231312), we get a palindrome (2132324232312).

The spelling of 2131322001000 in words is "two trillion, one hundred thirty-one billion, three hundred twenty-two million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 127 150 200 250 254 300 375 381 500 508 600 635 750 762 1000 1016 1270 1500 1524 1905 2540 3000 3048 3175 3810 5080 6350 7620 9525 12700 15240 15875 19050 25400 31750 38100 47625 63500 76200 95250 127000 190500 381000 5594021 11188042 16782063 22376084 27970105 33564126 44752168 55940210 67128252 83910315 111880420 134256504 139850525 167820630 223760840 279701050 335641260 419551575 559402100 671282520 699252625 710440667 839103150 1118804200 1398505250 1420881334 1678206300 2097757875 2131322001 2797010500 2841762668 3356412600 3552203335 4195515750 4262644002 5594021000 5683525336 7104406670 8391031500 8525288004 10656610005 14208813340 16782063000 17050576008 17761016675 21313220010 28417626680 35522033350 42626440020 53283050025 71044066700 85252880040 88805083375 106566100050 142088133400 177610166750 213132200100 266415250125 355220333500 426264400200 532830500250 710440667000 1065661000500 2131322001000