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213102332101000 = 23532326335229349
BaseRepresentation
bin110000011101000011000000…
…110011100100000110001000
31000221112101100221000221020201
4300131003000303210012020
5210412432034004213000
62033121505422101544
762613064306515046
oct6035030063440610
91027471327027221
10213102332101000
11619a02119a5141
121ba987aba1a8b4
1391ba60495b244
143a8a2ca6d3396
15199843257396a
hexc1d0c0ce4188

213102332101000 has 128 divisors (see below), whose sum is σ = 522318798144000. Its totient is φ = 81224784748800.

The previous prime is 213102332100949. The next prime is 213102332101151. The reversal of 213102332101000 is 101233201312.

It is an unprimeable number.

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, 11565675 + ... + 23663674.

It is an arithmetic number, because the mean of its divisors is an integer number (4080615610500).

Almost surely, 2213102332101000 is an apocalyptic number.

213102332101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213102332101000 is an abundant number, since it is smaller than the sum of its proper divisors (309216466043000).

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

213102332101000 is a wasteful number, since it uses less digits than its factorization.

213102332101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35229656 (or 35229642 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213102332101000 its reverse (101233201312), we get a palindrome (213203565302312).

The spelling of 213102332101000 in words is "two hundred thirteen trillion, one hundred two billion, three hundred thirty-two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 263 460 500 526 575 920 1000 1052 1150 1315 2104 2300 2630 2875 4600 5260 5750 6049 6575 10520 11500 12098 13150 23000 24196 26300 30245 32875 48392 52600 60490 65750 120980 131500 151225 241960 263000 302450 604900 756125 1209800 1512250 3024500 6049000 35229349 70458698 140917396 176146745 281834792 352293490 704586980 810275027 880733725 1409173960 1620550054 1761467450 3241100108 3522934900 4051375135 4403668625 6482200216 7045869800 8102750270 8807337250 9265318787 16205500540 17614674500 18530637574 20256875675 32411001080 35229349000 37061275148 40513751350 46326593935 74122550296 81027502700 92653187870 101284378375 162055005400 185306375740 202568756750 213102332101 231632969675 370612751480 405137513500 426204664202 463265939350 810275027000 852409328404 926531878700 1065511660505 1158164848375 1704818656808 1853063757400 2131023321010 2316329696750 4262046642020 4632659393500 5327558302525 8524093284040 9265318787000 10655116605050 21310233210100 26637791512625 42620466420200 53275583025250 106551166050500 213102332101000