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31014332320 = 2551913217723
BaseRepresentation
bin11100111000100110…
…010010011110100000
32222001102221022201211
4130320212102132200
51002004132113240
622125304435504
72145364321636
oct347046223640
988042838654
1031014332320
1112175866a04
126016778b94
132c0357ca3a
141703047356
15c17bdbbea
hex7389927a0

31014332320 has 96 divisors (see below), whose sum is σ = 77196127680. Its totient is φ = 11742382080.

The previous prime is 31014332303. The next prime is 31014332329. The reversal of 31014332320 is 2323341013.

It is a junction number, because it is equal to n+sod(n) for n = 31014332291 and 31014332300.

It is not an unprimeable number, because it can be changed into a prime (31014332329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4011979 + ... + 4019701.

It is an arithmetic number, because the mean of its divisors is an integer number (804126330).

Almost surely, 231014332320 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 31014332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38598063840).

31014332320 is an abundant number, since it is smaller than the sum of its proper divisors (46181795360).

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

31014332320 is a wasteful number, since it uses less digits than its factorization.

31014332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9078 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 31014332320 its reverse (2323341013), we get a palindrome (33337673333).

The spelling of 31014332320 in words is "thirty-one billion, fourteen million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1321 1520 2642 3040 5284 6605 7723 10568 13210 15446 21136 25099 26420 30892 38615 42272 50198 52840 61784 77230 100396 105680 123568 125495 146737 154460 200792 211360 247136 250990 293474 308920 401584 501980 586948 617840 733685 803168 1003960 1173896 1235680 1467370 2007920 2347792 2934740 4015840 4695584 5869480 10202083 11738960 20404166 23477920 40808332 51010415 81616664 102020830 163233328 193839577 204041660 326466656 387679154 408083320 775358308 816166640 969197885 1550716616 1632333280 1938395770 3101433232 3876791540 6202866464 7753583080 15507166160 31014332320