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103414334220 = 223255091128731
BaseRepresentation
bin110000001001111111…
…0011000001100001100
3100212221010022111021200
41200103332120030030
53143243032143340
6115301412025500
710320463223451
oct1402376301414
9325833274250
10103414334220
113a948771a1a
1218061302290
1399a0cb3b52
1450106bd828
152a53d74330
hex1813f9830c

103414334220 has 72 divisors (see below), whose sum is σ = 314306712720. Its totient is φ = 27522952320.

The previous prime is 103414334213. The next prime is 103414334267. The reversal of 103414334220 is 22433414301.

103414334220 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 1 + 433 + 4 + 220 = 666.

103414334220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472746 + ... + 655985.

It is an arithmetic number, because the mean of its divisors is an integer number (4365371010).

Almost surely, 2103414334220 is an apocalyptic number.

103414334220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103414334220 is an abundant number, since it is smaller than the sum of its proper divisors (210892378500).

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

103414334220 is a wasteful number, since it uses less digits than its factorization.

103414334220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129255 (or 1129250 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 103414334220 its reverse (22433414301), we get a palindrome (125847748521).

The spelling of 103414334220 in words is "one hundred three billion, four hundred fourteen million, three hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 509 1018 1527 2036 2545 3054 4581 5090 6108 7635 9162 10180 15270 18324 22905 30540 45810 91620 1128731 2257462 3386193 4514924 5643655 6772386 10158579 11287310 13544772 16930965 20317158 22574620 33861930 40634316 50792895 67723860 101585790 203171580 574524079 1149048158 1723572237 2298096316 2872620395 3447144474 5170716711 5745240790 6894288948 8617861185 10341433422 11490481580 17235722370 20682866844 25853583555 34471444740 51707167110 103414334220