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1024231124 = 2272231271789
BaseRepresentation
bin111101000011001…
…000011011010100
32122101021022222002
4331003020123110
54044200343444
6245344454432
734244551400
oct7503103324
92571238862
101024231124
11486174004
1224701a418
13134272427
149a058100
155edbad4e
hex3d0c86d4

1024231124 has 72 divisors (see below), whose sum is σ = 2194053120. Its totient is φ = 416332224.

The previous prime is 1024231093. The next prime is 1024231139. The reversal of 1024231124 is 4211324201.

It is a junction number, because it is equal to n+sod(n) for n = 1024231096 and 1024231105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571622 + ... + 573410.

It is an arithmetic number, because the mean of its divisors is an integer number (30472960).

Almost surely, 21024231124 is an apocalyptic number.

1024231124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024231124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097026560).

1024231124 is an abundant number, since it is smaller than the sum of its proper divisors (1169821996).

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

1024231124 is a wasteful number, since it uses less digits than its factorization.

1024231124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1024231124 is about 32003.6111087483. The cubic root of 1024231124 is about 1008.0126670219.

Adding to 1024231124 its reverse (4211324201), we get a palindrome (5235555325).

The spelling of 1024231124 in words is "one billion, twenty-four million, two hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 127 161 196 254 322 508 644 889 1127 1778 1789 2254 2921 3556 3578 4508 5842 6223 7156 11684 12446 12523 20447 24892 25046 40894 41147 50092 81788 82294 87661 143129 164588 175322 227203 286258 288029 350644 454406 572516 576058 908812 1152116 1590421 2016203 3180842 4032406 5225669 6361684 8064812 10451338 11132947 20902676 22265894 36579683 44531788 73159366 146318732 256057781 512115562 1024231124