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1020200144 = 242383127263
BaseRepresentation
bin111100110011110…
…000010011010000
32122002200112111112
4330303300103100
54042132401034
6245122232452
734165362305
oct7463602320
92562615445
101020200144
11483970517
122457b5728
13133490732
14996c90ac
155e8717ce
hex3ccf04d0

1020200144 has 80 divisors (see below), whose sum is σ = 2111864832. Its totient is φ = 476429184.

The previous prime is 1020200143. The next prime is 1020200177. The reversal of 1020200144 is 4410020201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020200143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3878957 + ... + 3879219.

Almost surely, 21020200144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055932416).

1020200144 is an abundant number, since it is smaller than the sum of its proper divisors (1091664688).

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

1020200144 is a wasteful number, since it uses less digits than its factorization.

1020200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1020200144 is about 31940.5720675131. The cubic root of 1020200144 is about 1006.6885449587.

Adding to 1020200144 its reverse (4410020201), we get a palindrome (5430220345).

The spelling of 1020200144 in words is "one billion, twenty million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 83 92 127 166 184 254 263 332 368 508 526 664 1016 1052 1328 1909 2032 2104 2921 3818 4208 5842 6049 7636 10541 11684 12098 15272 21082 21829 23368 24196 30544 33401 42164 43658 46736 48392 66802 84328 87316 96784 133604 168656 174632 242443 267208 349264 484886 502067 534416 768223 969772 1004134 1536446 1939544 2008268 2772283 3072892 3879088 4016536 5544566 6145784 8033072 11089132 12291568 22178264 44356528 63762509 127525018 255050036 510100072 1020200144