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1030533583104 = 2832211492
BaseRepresentation
bin11101111111100001001…
…01101001000100000000
310122111222122202011021100
432333300211221010000
5113341013044124404
62105230503054400
7134311403632524
oct16776045510400
93574878664240
101030533583104
113680573838a3
12147883741400
137624307388c
1437c416a9d84
151bc1713dd39
hexeff0969100

1030533583104 has 81 divisors (see below), whose sum is σ = 2971422874693. Its totient is φ = 343494951936.

The previous prime is 1030533583091. The next prime is 1030533583207. The reversal of 1030533583104 is 4013853350301.

The square root of 1030533583104 is 1015152.

It is a perfect power (a square), and thus also a powerful number.

1030533583104 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 5 + 335 + 8 + 310 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103395688704 + 927137894400 = 321552^2 + 962880^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48716722 + ... + 48737870.

Almost surely, 21030533583104 is an apocalyptic number.

1030533583104 is the 1015152-nd square number.

It is an amenable number.

1030533583104 is an abundant number, since it is smaller than the sum of its proper divisors (1940889291589).

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

1030533583104 is an frugal number, since it uses more digits than its factorization.

1030533583104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42320 (or 21154 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 1030533583104 by its sum of digits (36), we get a square (37099208991744 = 60909122).

1030533583104 divided by its sum of digits (36) gives a square (28625932864 = 1691922).

The spelling of 1030533583104 in words is "one trillion, thirty billion, five hundred thirty-three million, five hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 21149 42298 63447 84596 126894 169192 190341 253788 338384 380682 507576 676768 761364 1015152 1353536 1522728 2030304 2707072 3045456 4060608 5414144 6090912 8121216 12181824 16242432 24363648 48727296 447280201 894560402 1341840603 1789120804 2683681206 3578241608 4025521809 5367362412 7156483216 8051043618 10734724824 14312966432 16102087236 21469449648 28625932864 32204174472 42938899296 57251865728 64408348944 85877798592 114503731456 128816697888 171755597184 257633395776 343511194368 515266791552 1030533583104