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212303123202200 = 235229226916132211
BaseRepresentation
bin110000010001011010101100…
…001111100100000010011000
31000211200222110200111022002112
4300101122230033210002120
5210311333244014432300
62031310413001451452
762501252210124362
oct6021325417440230
91024628420438075
10212303123202200
1161712281353498
121b9899264a0b88
13916013886a1b4
143a5d75145bd32
15198275894be35
hexc116ac3e4098

212303123202200 has 96 divisors (see below), whose sum is σ = 510850691298000. Its totient is φ = 81956789107200.

The previous prime is 212303123202199. The next prime is 212303123202221. The reversal of 212303123202200 is 2202321303212.

It is a super-2 number, since 2×2123031232022002 (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5094095 + ... + 21226305.

Almost surely, 2212303123202200 is an apocalyptic number.

212303123202200 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 212303123202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255425345649000).

212303123202200 is an abundant number, since it is smaller than the sum of its proper divisors (298547568095800).

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

212303123202200 is a wasteful number, since it uses less digits than its factorization.

212303123202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16134525 (or 16134516 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 212303123202200 its reverse (2202321303212), we get a palindrome (214505444505412).

The spelling of 212303123202200 in words is "two hundred twelve trillion, three hundred three billion, one hundred twenty-three million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2269 2900 4538 5800 9076 11345 18152 22690 45380 56725 65801 90760 113450 131602 226900 263204 329005 453800 526408 658010 1316020 1645025 2632040 3290050 6580100 13160200 16132211 32264422 64528844 80661055 129057688 161322110 322644220 403305275 467834119 645288440 806610550 935668238 1613221100 1871336476 2339170595 3226442200 3742672952 4678341190 9356682380 11695852975 18713364760 23391705950 36603986759 46783411900 73207973518 93566823800 146415947036 183019933795 292831894072 366039867590 732079735180 915099668975 1061515616011 1464159470360 1830199337950 2123031232022 3660398675900 4246062464044 5307578080055 7320797351800 8492124928088 10615156160110 21230312320220 26537890400275 42460624640440 53075780800550 106151561601100 212303123202200