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212110200001000 = 23537125924067877
BaseRepresentation
bin110000001110100111000001…
…000111111101000111101000
31000211000112111112110020112101
4300032213001013331013220
5210300203142200013000
62031042025232023144
762451312330021010
oct6016470107750750
91024015445406471
10212110200001000
1161648481220a44
121b958464991ab4
139147ba1733242
143a5428d1a8c40
15197c716911e6a
hexc0e9c11fd1e8

212110200001000 has 128 divisors (see below), whose sum is σ = 567693851961600. Its totient is φ = 72665731219200.

The previous prime is 212110200000949. The next prime is 212110200001013. The reversal of 212110200001000 is 100002011212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3220939 + ... + 20846938.

It is an arithmetic number, because the mean of its divisors is an integer number (4435108218450).

Almost surely, 2212110200001000 is an apocalyptic number.

212110200001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110200001000 is an abundant number, since it is smaller than the sum of its proper divisors (355583651960600).

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

212110200001000 is a wasteful number, since it uses less digits than its factorization.

212110200001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24069164 (or 24069150 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212110200001000 its reverse (100002011212), we get a palindrome (212210202012212).

The spelling of 212110200001000 in words is "two hundred twelve trillion, one hundred ten billion, two hundred million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1259 1400 1750 2518 3500 5036 6295 7000 8813 10072 12590 17626 25180 31475 35252 44065 50360 62950 70504 88130 125900 157375 176260 220325 251800 314750 352520 440650 629500 881300 1101625 1259000 1762600 2203250 4406500 8813000 24067877 48135754 96271508 120339385 168475139 192543016 240678770 336950278 481357540 601696925 673900556 842375695 962715080 1203393850 1347801112 1684751390 2406787700 3008484625 3369502780 4211878475 4813575400 6016969250 6739005560 8423756950 12033938500 16847513900 21059392375 24067877000 30301457143 33695027800 42118784750 60602914286 84237569500 121205828572 151507285715 168475139000 212110200001 242411657144 303014571430 424220400002 606029142860 757536428575 848440800004 1060551000005 1212058285720 1515072857150 1696881600008 2121102000010 3030145714300 3787682142875 4242204000020 5302755000025 6060291428600 7575364285750 8484408000040 10605510000050 15150728571500 21211020000100 26513775000125 30301457143000 42422040000200 53027550000250 106055100000500 212110200001000