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1023021012 = 2231341307521
BaseRepresentation
bin111100111110100…
…000111111010100
32122021222212000010
4330332200333110
54043343133022
6245302520220
734231351356
oct7476407724
92567885003
101023021012
11485517912
12246736070
13133c3a6a0
1499c210d6
155ec2c50c
hex3cfa0fd4

1023021012 has 96 divisors (see below), whose sum is σ = 2647016064. Its totient is φ = 305510400.

The previous prime is 1023020993. The next prime is 1023021101. The reversal of 1023021012 is 2101203201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1963312 + ... + 1963832.

It is an arithmetic number, because the mean of its divisors is an integer number (27573084).

Almost surely, 21023021012 is an apocalyptic number.

1023021012 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 1023021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323508032).

1023021012 is an abundant number, since it is smaller than the sum of its proper divisors (1623995052).

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

1023021012 is a wasteful number, since it uses less digits than its factorization.

1023021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 887 counting only the distinct ones).

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

The square root of 1023021012 is about 31984.6996546786. The cubic root of 1023021012 is about 1007.6155271883.

Adding to 1023021012 its reverse (2101203201), we get a palindrome (3124224213).

The spelling of 1023021012 in words is "one billion, twenty-three million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 307 492 521 533 614 921 1042 1066 1228 1563 1599 1842 2084 2132 3126 3198 3684 3991 6252 6396 6773 7982 11973 12587 13546 15964 20319 21361 23946 25174 27092 37761 40638 42722 47892 50348 64083 75522 81276 85444 128166 151044 159947 163631 256332 277693 319894 327262 479841 490893 555386 639788 654524 833079 959682 981786 1110772 1666158 1919364 1963572 2079311 3332316 4158622 6237933 6557827 8317244 12475866 13115654 19673481 24951732 26231308 39346962 78693924 85251751 170503502 255755253 341007004 511510506 1023021012