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1021023140 = 2251937101719
BaseRepresentation
bin111100110110111…
…001001110100100
32122011020100102212
4330312321032210
54042340220030
6245152022552
734205360564
oct7466711644
92564210385
101021023140
11484382885
12245b31a58
131336bb207
1499860da4
155e985595
hex3cdb93a4

1021023140 has 96 divisors (see below), whose sum is σ = 2344204800. Its totient is φ = 372211200.

The previous prime is 1021023131. The next prime is 1021023149. The reversal of 1021023140 is 413201201.

It is an interprime number because it is at equal distance from previous prime (1021023131) and next prime (1021023149).

It is not an unprimeable number, because it can be changed into a prime (1021023149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419701 + ... + 1420419.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 21021023140 is an apocalyptic number.

1021023140 is a gapful number since it is divisible by the number (10) 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 1021023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172102400).

1021023140 is an abundant number, since it is smaller than the sum of its proper divisors (1323181660).

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

1021023140 is a wasteful number, since it uses less digits than its factorization.

1021023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1021023140 is about 31953.4527085885. The cubic root of 1021023140 is about 1006.9591709290.

Adding to 1021023140 its reverse (413201201), we get a palindrome (1434224341).

The spelling of 1021023140 in words is "one billion, twenty-one million, twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 101 148 185 190 202 370 380 404 505 703 719 740 1010 1406 1438 1919 2020 2812 2876 3515 3595 3737 3838 7030 7190 7474 7676 9595 13661 14060 14380 14948 18685 19190 26603 27322 37370 38380 53206 54644 68305 71003 72619 74740 106412 133015 136610 142006 145238 266030 273220 284012 290476 355015 363095 505457 532060 710030 726190 1010914 1379761 1420060 1452380 2021828 2527285 2686903 2759522 5054570 5373806 5519044 6898805 10109140 10747612 13434515 13797610 26869030 27595220 51051157 53738060 102102314 204204628 255255785 510511570 1021023140