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1022031312 = 243233129863
BaseRepresentation
bin111100111010101…
…111010111010000
32122020010120101120
4330322233113100
54043120000222
6245225402240
734220060061
oct7472572720
92566116346
101022031312
11484a01285
12246339380
13133982073
1499a44568
155ead415c
hex3ceaf5d0

1022031312 has 80 divisors (see below), whose sum is σ = 2844008448. Its totient is φ = 315342720.

The previous prime is 1022031301. The next prime is 1022031359. The reversal of 1022031312 is 2131302201.

It is a junction number, because it is equal to n+sod(n) for n = 1022031291 and 1022031300.

It is a congruent number.

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, 19293 + ... + 49155.

Almost surely, 21022031312 is an apocalyptic number.

1022031312 is a gapful number since it is divisible by the number (12) 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 1022031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422004224).

1022031312 is an abundant number, since it is smaller than the sum of its proper divisors (1821977136).

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

1022031312 is a wasteful number, since it uses less digits than its factorization.

1022031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29928 (or 29922 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1022031312 is about 31969.2244510248. The cubic root of 1022031312 is about 1007.2904902523.

Adding to 1022031312 its reverse (2131302201), we get a palindrome (3153333513).

The spelling of 1022031312 in words is "one billion, twenty-two million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 92 93 124 138 184 186 248 276 368 372 496 552 713 744 1104 1426 1488 2139 2852 4278 5704 8556 11408 17112 29863 34224 59726 89589 119452 179178 238904 358356 477808 686849 716712 925753 1373698 1433424 1851506 2060547 2747396 2777259 3703012 4121094 5494792 5554518 7406024 8242188 10989584 11109036 14812048 16484376 21292319 22218072 32968752 42584638 44436144 63876957 85169276 127753914 170338552 255507828 340677104 511015656 1022031312