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101101000011110 = 251143971012181731
BaseRepresentation
bin10110111111001101101001…
…001100010010110101100110
3111020222011100112002010100222
4112333031221030102311212
5101222414322000323420
6555005054102004342
730203210012625131
oct2677155114226546
9436864315063328
10101101000011110
112a239769899330
12b40a0744166b2
134454a25163468
141ad745902b218
15ba4d07e55225
hex5bf369312d66

101101000011110 has 128 divisors (see below), whose sum is σ = 207268868556288. Its totient is φ = 35186941440000.

The previous prime is 101101000011103. The next prime is 101101000011149. The reversal of 101101000011110 is 11110000101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45248945 + ... + 47430675.

It is an arithmetic number, because the mean of its divisors is an integer number (1619288035596).

Almost surely, 2101101000011110 is an apocalyptic number.

101101000011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101000011110 is an abundant number, since it is smaller than the sum of its proper divisors (106167868545178).

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

101101000011110 is a wasteful number, since it uses less digits than its factorization.

101101000011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181990.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101101000011110 its reverse (11110000101101), we get a palindrome (112211000112211).

The spelling of 101101000011110 in words is "one hundred one trillion, one hundred one billion, eleven thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 43 55 86 97 101 110 194 202 215 430 473 485 505 946 970 1010 1067 1111 2134 2222 2365 4171 4343 4730 5335 5555 8342 8686 9797 10670 11110 19594 20855 21715 41710 43430 45881 47773 48985 91762 95546 97970 107767 215534 229405 238865 421271 458810 477730 538835 842542 1077670 2106355 2181731 4212710 4363462 4633981 9267962 10908655 21817310 23169905 23999041 46339810 47998082 93814433 119995205 187628866 211627907 220354831 239990410 423255814 440709662 469072165 938144330 1031958763 1058139535 1101774155 2063917526 2116279070 2203548310 2327906977 2423903141 4655813954 4847806282 5159793815 9100000001 9475257733 10319587630 11639534885 12119515705 18200000002 18950515466 21374418607 23279069770 24239031410 42748837214 45500000005 47376288665 91000000010 94752577330 100100000011 104227835063 106872093035 200200000022 208455670126 213744186070 235118604677 470237209354 500500000055 521139175315 919100000101 1001000000110 1042278350630 1175593023385 1838200000202 2351186046770 4595500000505 9191000001010 10110100001111 20220200002222 50550500005555 101101000011110