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21310322000 = 2453118831097
BaseRepresentation
bin10011110110001100…
…011011010101010000
32001000011010112010012
4103312030123111100
5322120420301000
613442334054052
71353042514442
oct236614332520
961004115105
1021310322000
119046137370
12416894a328
132017cb7bb6
141062332492
1584ace9735
hex4f631b550

21310322000 has 160 divisors (see below), whose sum is σ = 56327716224. Its totient is φ = 7733376000.

The previous prime is 21310321999. The next prime is 21310322009. The reversal of 21310322000 is 22301312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21310322009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19425452 + ... + 19426548.

Almost surely, 221310322000 is an apocalyptic number.

21310322000 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 21310322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28163858112).

21310322000 is an abundant number, since it is smaller than the sum of its proper divisors (35017394224).

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

21310322000 is a wasteful number, since it uses less digits than its factorization.

21310322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21310322000 its reverse (22301312), we get a palindrome (21332623312).

The spelling of 21310322000 in words is "twenty-one billion, three hundred ten million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 883 1000 1097 1100 1375 1766 2000 2194 2200 2750 3532 4388 4400 4415 5485 5500 7064 8776 8830 9713 10970 11000 12067 14128 17552 17660 19426 21940 22000 22075 24134 27425 35320 38852 43880 44150 48268 48565 54850 60335 70640 77704 87760 88300 96536 97130 109700 110375 120670 137125 155408 176600 193072 194260 219400 220750 241340 242825 274250 301675 353200 388520 438800 441500 482680 485650 548500 603350 777040 883000 965360 968651 971300 1097000 1206700 1214125 1508375 1766000 1937302 1942600 2194000 2413400 2428250 3016750 3874604 3885200 4826800 4843255 4856500 6033500 7749208 9686510 9713000 10655161 12067000 15498416 19373020 19426000 21310322 24134000 24216275 38746040 42620644 48432550 53275805 77492080 85241288 96865100 106551610 121081375 170482576 193730200 213103220 242162750 266379025 387460400 426206440 484325500 532758050 852412880 968651000 1065516100 1331895125 1937302000 2131032200 2663790250 4262064400 5327580500 10655161000 21310322000