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103444400314310 = 251110134726832643
BaseRepresentation
bin10111100001010100000110…
…101111000001011111000110
3111120021012002010011211200012
4113201110012233001133012
5102024313112440024220
61004001411303150222
730534416446556006
oct2741240657013706
9446235063154605
10103444400314310
112aa62584207590
12b728274445372
1345949c3ba97c3
141b78a42a36006
15be5c5d890ac5
hex5e1506bc17c6

103444400314310 has 64 divisors (see below), whose sum is σ = 205729530787584. Its totient is φ = 37136376528000.

The previous prime is 103444400314267. The next prime is 103444400314313. The reversal of 103444400314310 is 13413004444301.

It is a super-2 number, since 2×1034444003143102 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103444400314313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9561152 + ... + 17271491.

It is an arithmetic number, because the mean of its divisors is an integer number (3214523918556).

Almost surely, 2103444400314310 is an apocalyptic number.

103444400314310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103444400314310 is a deficient number, since it is larger than the sum of its proper divisors (102285130473274).

103444400314310 is a wasteful number, since it uses less digits than its factorization.

103444400314310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26833109.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 103444400314310 its reverse (13413004444301), we get a palindrome (116857404758611).

The spelling of 103444400314310 in words is "one hundred three trillion, four hundred forty-four billion, four hundred million, three hundred fourteen thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 55 101 110 202 347 505 694 1010 1111 1735 2222 3470 3817 5555 7634 11110 19085 35047 38170 70094 175235 350470 385517 771034 1927585 3855170 26832643 53665286 134163215 268326430 295159073 590318146 1475795365 2710096943 2951590730 5420193886 9310927121 13550484715 18621854242 27100969430 29811066373 46554635605 59622132746 93109271210 102420198331 149055331865 204840396662 298110663730 512100991655 940403639221 1024201983310 1880807278442 4702018196105 9404036392210 10344440031431 20688880062862 51722200157155 103444400314310