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1020214200042 = 23279717450211
BaseRepresentation
bin11101101100010011000…
…00010100011011101010
310121112100111000011221200
432312021200110123222
5113203344313400132
62100402510545030
7133464600421602
oct16661140243352
93545314004850
101020214200042
11363741356644
12145883808176
137528a15cc5b
1437542d69c02
151b8111e3d7c
hexed898146ea

1020214200042 has 24 divisors (see below), whose sum is σ = 2238444661440. Its totient is φ = 335766698280.

The previous prime is 1020214200001. The next prime is 1020214200053. The reversal of 1020214200042 is 2400024120201.

1020214200042 is a `hidden beast` number, since 1 + 0 + 202 + 1 + 420 + 0 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1020214199988 and 1020214200024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358723684 + ... + 358726527.

It is an arithmetic number, because the mean of its divisors is an integer number (93268527560).

Almost surely, 21020214200042 is an apocalyptic number.

1020214200042 is an abundant number, since it is smaller than the sum of its proper divisors (1218230461398).

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

1020214200042 is a wasteful number, since it uses less digits than its factorization.

1020214200042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717450298 (or 717450295 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1020214200042 its reverse (2400024120201), we get a palindrome (3420238320243).

The spelling of 1020214200042 in words is "one trillion, twenty billion, two hundred fourteen million, two hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 1422 717450211 1434900422 2152350633 4304701266 6457051899 12914103798 56678566669 113357133338 170035700007 340071400014 510107100021 1020214200042