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1023131816 = 237232692953
BaseRepresentation
bin111100111110111…
…100000010101000
32122022012110222222
4330332330002220
54043410204231
6245305133212
734232322410
oct7476740250
92568173888
101023131816
11485593093
1224678a208
13133c78c55
1499c4d640
155ec5027b
hex3cfbc0a8

1023131816 has 64 divisors (see below), whose sum is σ = 2297030400. Its totient is φ = 417719808.

The previous prime is 1023131771. The next prime is 1023131867. The reversal of 1023131816 is 6181313201.

It is a super-2 number, since 2×10231318162 = 2093597425822915712, which contains 22 as substring.

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, 344996 + ... + 347948.

It is an arithmetic number, because the mean of its divisors is an integer number (35891100).

Almost surely, 21023131816 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 1023131816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148515200).

1023131816 is an abundant number, since it is smaller than the sum of its proper divisors (1273898584).

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

1023131816 is a wasteful number, since it uses less digits than its factorization.

1023131816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1023131816 is about 31986.4317484774. The cubic root of 1023131816 is about 1007.6519043493.

The spelling of 1023131816 in words is "one billion, twenty-three million, one hundred thirty-one thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 269 322 538 644 1076 1288 1883 2152 2953 3766 5906 6187 7532 11812 12374 15064 20671 23624 24748 41342 43309 49496 67919 82684 86618 135838 165368 173236 271676 346472 475433 543352 794357 950866 1588714 1901732 3177428 3803464 5560499 6354856 11120998 18270211 22241996 36540422 44483992 73080844 127891477 146161688 255782954 511565908 1023131816