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31066213120 = 285113214783
BaseRepresentation
bin11100111011101100…
…001100101100000000
32222012001120010210221
4130323230030230000
51002110422304440
622134400432424
72146564311625
oct347354145400
988161503727
1031066213120
11121a20817a8
126030018714
132c11246237
141709cb034c
15c1c538d4a
hex73bb0cb00

31066213120 has 72 divisors (see below), whose sum is σ = 75072162816. Its totient is φ = 12316459008.

The previous prime is 31066213111. The next prime is 31066213121. The reversal of 31066213120 is 2131266013.

It is not an unprimeable number, because it can be changed into a prime (31066213121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37249 + ... + 252031.

It is an arithmetic number, because the mean of its divisors is an integer number (1042668928).

Almost surely, 231066213120 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 31066213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37536081408).

31066213120 is an abundant number, since it is smaller than the sum of its proper divisors (44005949696).

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

31066213120 is a wasteful number, since it uses less digits than its factorization.

31066213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214917 (or 214903 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 31066213120 its reverse (2131266013), we get a palindrome (33197479133).

The spelling of 31066213120 in words is "thirty-one billion, sixty-six million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 320 452 565 640 904 1130 1280 1808 2260 3616 4520 7232 9040 14464 18080 28928 36160 72320 144640 214783 429566 859132 1073915 1718264 2147830 3436528 4295660 6873056 8591320 13746112 17182640 24270479 27492224 34365280 48540958 54984448 68730560 97081916 121352395 137461120 194163832 242704790 274922240 388327664 485409580 776655328 970819160 1553310656 1941638320 3106621312 3883276640 6213242624 7766553280 15533106560 31066213120