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1023113212420 = 225134498764033
BaseRepresentation
bin11101110001101100100…
…11001011001000000100
310121210211112000021022111
432320312103023020010
5113230313440244140
62102002310510404
7133626461546665
oct16706623131004
93553745007274
101023113212420
11364999810542
12146352665404
137562c9462b0
1437739da536c
151b93098a7ea
hexee364cb204

1023113212420 has 48 divisors (see below), whose sum is σ = 2318963396400. Its totient is φ = 376923488256.

The previous prime is 1023113212411. The next prime is 1023113212453. The reversal of 1023113212420 is 242123113201.

It can be written as a sum of positive squares in 8 ways, for example, as 11684745216 + 1011428467204 = 108096^2 + 1005698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1023113212391 and 1023113212400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4265277 + ... + 4498756.

It is an arithmetic number, because the mean of its divisors is an integer number (48311737425).

Almost surely, 21023113212420 is an apocalyptic number.

1023113212420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023113212420 is an abundant number, since it is smaller than the sum of its proper divisors (1295850183980).

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

1023113212420 is a wasteful number, since it uses less digits than its factorization.

1023113212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8764504 (or 8764502 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1023113212420 its reverse (242123113201), we get a palindrome (1265236325621).

The spelling of 1023113212420 in words is "one trillion, twenty-three billion, one hundred thirteen million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 449 898 1796 2245 4490 5837 8980 11674 23348 29185 58370 116740 8764033 17528066 35056132 43820165 87640330 113932429 175280660 227864858 455729716 569662145 1139324290 2278648580 3935050817 7870101634 15740203268 19675254085 39350508170 51155660621 78701016340 102311321242 204622642484 255778303105 511556606210 1023113212420