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27103411501100 = 225211234126128807
BaseRepresentation
bin1100010100110100000010…
…01101101111100000101100
310112222001122100102001000022
412022122001031233200230
512023030241321013400
6133351045123021312
75465104542366014
oct612320115574054
9115861570361008
1027103411501100
1186aa546231780
1230589a580a838
131217ac11407ac
14699b52636c44
1532004e049b85
hex18a68136f82c

27103411501100 has 144 divisors (see below), whose sum is σ = 68583731360256. Its totient is φ = 9197339712000.

The previous prime is 27103411501087. The next prime is 27103411501151. The reversal of 27103411501100 is 110511430172.

It is a self number, because there is not a number n which added to its sum of digits gives 27103411501100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12027104 + ... + 14101703.

It is an arithmetic number, because the mean of its divisors is an integer number (476275912224).

Almost surely, 227103411501100 is an apocalyptic number.

27103411501100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27103411501100 is an abundant number, since it is smaller than the sum of its proper divisors (41480319859156).

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

27103411501100 is a wasteful number, since it uses less digits than its factorization.

27103411501100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26128896 (or 26128889 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 27103411501100 its reverse (110511430172), we get a palindrome (27213922931272).

The spelling of 27103411501100 in words is "twenty-seven trillion, one hundred three billion, four hundred eleven million, five hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 41 44 46 50 55 82 92 100 110 115 164 205 220 230 253 275 410 451 460 506 550 575 820 902 943 1012 1025 1100 1150 1265 1804 1886 2050 2255 2300 2530 3772 4100 4510 4715 5060 6325 9020 9430 10373 11275 12650 18860 20746 22550 23575 25300 41492 45100 47150 51865 94300 103730 207460 259325 518650 1037300 26128807 52257614 104515228 130644035 261288070 287416877 522576140 574833754 600962561 653220175 1071281087 1149667508 1201925122 1306440350 1437084385 2142562174 2403850244 2612880700 2874168770 3004812805 4285124348 5356405435 5748337540 6009625610 6610588171 7185421925 10712810870 11784091957 12019251220 13221176342 14370843850 15024064025 21425621740 23568183914 24639465001 26442352684 26782027175 28741687700 30048128050 33052940855 47136367828 49278930002 53564054350 58920459785 60096256100 66105881710 98557860004 107128108700 117840919570 123197325005 132211763420 165264704275 235681839140 246394650010 271034115011 294602298925 330529408550 492789300020 542068230022 589204597850 615986625025 661058817100 1084136460044 1178409195700 1231973250050 1355170575055 2463946500100 2710341150110 5420682300220 6775852875275 13551705750550 27103411501100