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31320220416 = 283379107603
BaseRepresentation
bin11101001010110101…
…001010001100000000
32222211202112001022120
4131022311022030000
51003120434023131
622215513004240
72156100323652
oct351265121400
988752461276
1031320220416
11123124a2191
1260a10b3680
132c51a5c904
1417319106d2
15c349b0496
hex74ad4a300

31320220416 has 72 divisors (see below), whose sum is σ = 83578178880. Its totient is φ = 10412430336.

The previous prime is 31320220411. The next prime is 31320220423. The reversal of 31320220416 is 61402202313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31320220411) 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, 237271 + ... + 344873.

It is an arithmetic number, because the mean of its divisors is an integer number (1160808040).

Almost surely, 231320220416 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 31320220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41789089440).

31320220416 is an abundant number, since it is smaller than the sum of its proper divisors (52257958464).

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

31320220416 is a wasteful number, since it uses less digits than its factorization.

31320220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108001 (or 107987 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31320220416 its reverse (61402202313), we get a palindrome (92722422729).

The spelling of 31320220416 in words is "thirty-one billion, three hundred twenty million, two hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 379 384 758 768 1137 1516 2274 3032 4548 6064 9096 12128 18192 24256 36384 48512 72768 97024 107603 145536 215206 291072 322809 430412 645618 860824 1291236 1721648 2582472 3443296 5164944 6886592 10329888 13773184 20659776 27546368 40781537 41319552 81563074 82639104 122344611 163126148 244689222 326252296 489378444 652504592 978756888 1305009184 1957513776 2610018368 3915027552 5220036736 7830055104 10440073472 15660110208 31320220416