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1020230404224 = 27311323511947
BaseRepresentation
bin11101101100010100111…
…10001000100010000000
310121112101121111102220120
432312022132020202000
5113203412440413344
62100404250140240
7133465155231243
oct16661236104200
93545347442816
101020230404224
1136374a514029
12145889121680
1375290614725
143754518725a
151b812845219
hexed8a788880

1020230404224 has 64 divisors (see below), whose sum is σ = 2733969313440. Its totient is φ = 337067257856.

The previous prime is 1020230404217. The next prime is 1020230404267. The reversal of 1020230404224 is 4224040320201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1020230404194 and 1020230404203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11712582 + ... + 11799365.

Almost surely, 21020230404224 is an apocalyptic number.

It is an amenable number.

1020230404224 is an abundant number, since it is smaller than the sum of its proper divisors (1713738909216).

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

1020230404224 is a wasteful number, since it uses less digits than its factorization.

1020230404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23512077 (or 23512065 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1020230404224 its reverse (4224040320201), we get a palindrome (5244270724425).

The spelling of 1020230404224 in words is "one trillion, twenty billion, two hundred thirty million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1356 1808 2712 3616 5424 7232 10848 14464 21696 43392 23511947 47023894 70535841 94047788 141071682 188095576 282143364 376191152 564286728 752382304 1128573456 1504764608 2257146912 2656850011 3009529216 4514293824 5313700022 7970550033 9028587648 10627400044 15941100066 21254800088 31882200132 42509600176 63764400264 85019200352 127528800528 170038400704 255057601056 340076801408 510115202112 1020230404224