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10223031320 = 2351919768281
BaseRepresentation
bin10011000010101011…
…10001010000011000
3222101110102210120122
421201111301100120
5131414044000240
64410231012412
7511223222015
oct114125612030
928343383518
1010223031320
1143766a8817
121b9380a108
13c6bc79878
146cda1c70c
153ec7664b5
hex261571418

10223031320 has 64 divisors (see below), whose sum is σ = 24335704800. Its totient is φ = 3854269440.

The previous prime is 10223031289. The next prime is 10223031331. The reversal of 10223031320 is 2313032201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115580 + ... + 183860.

Almost surely, 210223031320 is an apocalyptic number.

10223031320 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 10223031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12167852400).

10223031320 is an abundant number, since it is smaller than the sum of its proper divisors (14112673480).

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

10223031320 is a wasteful number, since it uses less digits than its factorization.

10223031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68508 (or 68504 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10223031320 its reverse (2313032201), we get a palindrome (12536063521).

The spelling of 10223031320 in words is "ten billion, two hundred twenty-three million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 197 380 394 760 788 985 1576 1970 3743 3940 7486 7880 14972 18715 29944 37430 68281 74860 136562 149720 273124 341405 546248 682810 1297339 1365620 2594678 2731240 5189356 6486695 10378712 12973390 13451357 25946780 26902714 51893560 53805428 67256785 107610856 134513570 255575783 269027140 511151566 538054280 1022303132 1277878915 2044606264 2555757830 5111515660 10223031320