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34132010000 = 245411310291
BaseRepresentation
bin11111110010011011…
…010010010000010000
310021002201101202111112
4133302123102100100
51024400243310000
623402515232452
72315552204144
oct376233222020
9107081352445
1034132010000
11135256a2330
1267468a8728
1332ac45712a
14191b123224
15d4b778235
hex7f26d2410

34132010000 has 100 divisors (see below), whose sum is σ = 90149755344. Its totient is φ = 12411600000.

The previous prime is 34132009999. The next prime is 34132010023. The reversal of 34132010000 is 1023143.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45146 + ... + 265145.

Almost surely, 234132010000 is an apocalyptic number.

It is an amenable number.

34132010000 is an abundant number, since it is smaller than the sum of its proper divisors (56017745344).

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

34132010000 is a wasteful number, since it uses less digits than its factorization.

34132010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310330 (or 310309 counting only the distinct ones).

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

Adding to 34132010000 its reverse (1023143), we get a palindrome (34133033143).

The spelling of 34132010000 in words is "thirty-four billion, one hundred thirty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 310291 620582 1241164 1551455 2482328 3102910 3413201 4964656 6205820 6826402 7757275 12411640 13652804 15514550 17066005 24823280 27305608 31029100 34132010 38786375 54611216 62058200 68264020 77572750 85330025 124116400 136528040 155145500 170660050 193931875 273056080 310291000 341320100 387863750 426650125 620582000 682640200 775727500 853300250 1365280400 1551455000 1706600500 2133250625 3102910000 3413201000 4266501250 6826402000 8533002500 17066005000 34132010000