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213404429742200 = 235210310359438337
BaseRepresentation
bin110000100001011100010111…
…001110100111000001111000
31000222121021010122001011202122
4300201130113032213001320
5210432404233003222300
62033512350331020412
762643650465221424
oct6041342716470170
91028537118034678
10213404429742200
1161aa7346169304
121bb2725b89a708
13920cc4a230158
143a9ab88269b84
1519a1213e80c85
hexc217173a7078

213404429742200 has 48 divisors (see below), whose sum is σ = 500982438025680. Its totient is φ = 84533016821760.

The previous prime is 213404429742199. The next prime is 213404429742241. The reversal of 213404429742200 is 2247924404312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5179698569 + ... + 5179739768.

It is an arithmetic number, because the mean of its divisors is an integer number (10437134125535).

Almost surely, 2213404429742200 is an apocalyptic number.

213404429742200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213404429742200 is an abundant number, since it is smaller than the sum of its proper divisors (287578008283480).

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

213404429742200 is a wasteful number, since it uses less digits than its factorization.

213404429742200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10359438456 (or 10359438447 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 213404429742200 in words is "two hundred thirteen trillion, four hundred four billion, four hundred twenty-nine million, seven hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 824 1030 2060 2575 4120 5150 10300 20600 10359438337 20718876674 41437753348 51797191685 82875506696 103594383370 207188766740 258985958425 414377533480 517971916850 1035943833700 1067022148711 2071887667400 2134044297422 4268088594844 5335110743555 8536177189688 10670221487110 21340442974220 26675553717775 42680885948440 53351107435550 106702214871100 213404429742200