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103430412936 = 23321975607027
BaseRepresentation
bin110000001010011101…
…1101101101010001000
3100212222020120101010200
41200110323231222020
53143311141203221
6115303144412200
710321050001254
oct1402473555210
9325866511120
10103430412936
113a956854114
1218066777060
1399a4423496
1450128a7264
152a5549d426
hex1814eeda88

103430412936 has 48 divisors (see below), whose sum is σ = 294867409200. Its totient is φ = 32662235232.

The previous prime is 103430412893. The next prime is 103430412937. The reversal of 103430412936 is 639214034301.

It is a super-2 number, since 2×1034304129362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103430412936.

It is not an unprimeable number, because it can be changed into a prime (103430412937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37802146 + ... + 37804881.

It is an arithmetic number, because the mean of its divisors is an integer number (6143071025).

Almost surely, 2103430412936 is an apocalyptic number.

It is an amenable number.

103430412936 is an abundant number, since it is smaller than the sum of its proper divisors (191436996264).

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

103430412936 is a wasteful number, since it uses less digits than its factorization.

103430412936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75607058 (or 75607051 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 103430412936 in words is "one hundred three billion, four hundred thirty million, four hundred twelve thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 75607027 151214054 226821081 302428108 453642162 604856216 680463243 907284324 1360926486 1436533513 1814568648 2721852972 2873067026 4309600539 5443705944 5746134052 8619201078 11492268104 12928801617 17238402156 25857603234 34476804312 51715206468 103430412936