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1023002112 = 29311191317
BaseRepresentation
bin111100111110011…
…100011000000000
32122021221220002010
4330332130120000
54043342031422
6245302252520
734231242306
oct7476343000
92567856063
101023002112
114855046a0
12246727140
13133c31bc2
1499c18276
155ec26b0c
hex3cf9c600

1023002112 has 160 divisors (see below), whose sum is σ = 2998093824. Its totient is φ = 307404800.

The previous prime is 1023002089. The next prime is 1023002129. The reversal of 1023002112 is 2112003201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

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, 3226978 + ... + 3227294.

Almost surely, 21023002112 is an apocalyptic number.

1023002112 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 1023002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499046912).

1023002112 is an abundant number, since it is smaller than the sum of its proper divisors (1975091712).

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

1023002112 is a wasteful number, since it uses less digits than its factorization.

1023002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1023002112 is about 31984.4041995470. The cubic root of 1023002112 is about 1007.6093220206.

Adding to 1023002112 its reverse (2112003201), we get a palindrome (3135005313).

The spelling of 1023002112 in words is "one billion, twenty-three million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 191 192 256 264 317 352 382 384 512 528 573 634 704 764 768 951 1056 1146 1268 1408 1528 1536 1902 2101 2112 2292 2536 2816 3056 3487 3804 4202 4224 4584 5072 5632 6112 6303 6974 7608 8404 8448 9168 10144 10461 12224 12606 13948 15216 16808 16896 18336 20288 20922 24448 25212 27896 30432 33616 36672 40576 41844 48896 50424 55792 60547 60864 67232 73344 81152 83688 97792 100848 111584 121094 121728 134464 146688 162304 167376 181641 201696 223168 242188 243456 268928 293376 334752 363282 403392 446336 484376 486912 537856 666017 669504 726564 806784 892672 968752 1075712 1332034 1339008 1453128 1613568 1785344 1937504 1998051 2664068 2678016 2906256 3227136 3875008 3996102 5328136 5356032 5812512 7750016 7992204 10656272 11625024 15500032 15984408 21312544 23250048 31000064 31968816 42625088 46500096 63937632 85250176 93000192 127875264 170500352 255750528 341000704 511501056 1023002112