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1023200412432 = 243111937879569
BaseRepresentation
bin11101110001110110111…
…11110100001100010000
310121211001121002111020120
432320323133310030100
5113231003301144212
62102015103510240
7133631601001302
oct16707337641420
93554047074216
101023200412432
11364a33a5a170
121463778b8380
1375644a27933
14377477c3972
151b93846288c
hexee3b7f4310

1023200412432 has 40 divisors (see below), whose sum is σ = 2883564800160. Its totient is φ = 310060730880.

The previous prime is 1023200412347. The next prime is 1023200412473. The reversal of 1023200412432 is 2342140023201.

It is a happy number.

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

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, 968939257 + ... + 968940312.

It is an arithmetic number, because the mean of its divisors is an integer number (72089120004).

Almost surely, 21023200412432 is an apocalyptic number.

1023200412432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023200412432 is an abundant number, since it is smaller than the sum of its proper divisors (1860364387728).

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

1023200412432 is a wasteful number, since it uses less digits than its factorization.

1023200412432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937879591 (or 1937879585 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1023200412432 its reverse (2342140023201), we get a palindrome (3365340435633).

The spelling of 1023200412432 in words is "one trillion, twenty-three billion, two hundred million, four hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1937879569 3875759138 5813638707 7751518276 11627277414 15503036552 21316675259 23254554828 31006073104 42633350518 46509109656 63950025777 85266701036 93018219312 127900051554 170533402072 255800103108 341066804144 511600206216 1023200412432