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211432413000 = 23353283249037
BaseRepresentation
bin1100010011101001011…
…0101001011101001000
3202012202002101102212010
43010322112221131020
511431003144204000
6241044122215520
721163330600104
oct3047226513510
9665662342763
10211432413000
11817390a3306
1234b883545a0
1316c269c64b3
14a33a592904
155776e7ad50
hex313a5a9748

211432413000 has 128 divisors (see below), whose sum is σ = 662002773120. Its totient is φ = 56182521600.

The previous prime is 211432412999. The next prime is 211432413011. The reversal of 211432413000 is 314234112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724482 + ... + 973518.

It is an arithmetic number, because the mean of its divisors is an integer number (5171896665).

Almost surely, 2211432413000 is an apocalyptic number.

211432413000 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 211432413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331001386560).

211432413000 is an abundant number, since it is smaller than the sum of its proper divisors (450570360120).

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

211432413000 is a wasteful number, since it uses less digits than its factorization.

211432413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249344 (or 249330 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 211432413000 its reverse (314234112), we get a palindrome (211746647112).

The spelling of 211432413000 in words is "two hundred eleven billion, four hundred thirty-two million, four hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 283 300 375 500 566 600 750 849 1000 1132 1415 1500 1698 2264 2830 3000 3396 4245 5660 6792 7075 8490 11320 14150 16980 21225 28300 33960 35375 42450 56600 70750 84900 106125 141500 169800 212250 249037 283000 424500 498074 747111 849000 996148 1245185 1494222 1992296 2490370 2988444 3735555 4980740 5976888 6225925 7471110 9961480 12451850 14942220 18677775 24903700 29884440 31129625 37355550 49807400 62259250 70477471 74711100 93388875 124518500 140954942 149422200 186777750 211432413 249037000 281909884 352387355 373555500 422864826 563819768 704774710 747111000 845729652 1057162065 1409549420 1691459304 1761936775 2114324130 2819098840 3523873550 4228648260 5285810325 7047747100 8457296520 8809683875 10571620650 14095494200 17619367750 21143241300 26429051625 35238735500 42286482600 52858103250 70477471000 105716206500 211432413000