Search a number
-
+
31215341200 = 24521395091103
BaseRepresentation
bin11101000100100101…
…000100111010010000
32222120110011122002011
4131010211010322100
51002412111404300
622201245032304
72153355010441
oct350445047220
988513148064
1031215341200
111226927894a
126071b55694
132c360cb2c4
141721a0d2c8
15c2a694eba
hex744944e90

31215341200 has 120 divisors (see below), whose sum is σ = 75751401600. Its totient is φ = 12360737280.

The previous prime is 31215341191. The next prime is 31215341239. The reversal of 31215341200 is 214351213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28299849 + ... + 28300951.

It is an arithmetic number, because the mean of its divisors is an integer number (631261680).

Almost surely, 231215341200 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 31215341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37875700800).

31215341200 is an abundant number, since it is smaller than the sum of its proper divisors (44536060400).

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

31215341200 is a wasteful number, since it uses less digits than its factorization.

31215341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 31215341200 its reverse (214351213), we get a palindrome (31429692413).

It can be divided in two parts, 312153 and 41200, that added together give a palindrome (353353).

The spelling of 31215341200 in words is "thirty-one billion, two hundred fifteen million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 139 200 278 400 509 556 695 1018 1103 1112 1390 2036 2206 2224 2545 2780 3475 4072 4412 5090 5515 5560 6950 8144 8824 10180 11030 11120 12725 13900 17648 20360 22060 25450 27575 27800 40720 44120 50900 55150 55600 70751 88240 101800 110300 141502 153317 203600 220600 283004 306634 353755 441200 561427 566008 613268 707510 766585 1122854 1132016 1226536 1415020 1533170 1768775 2245708 2453072 2807135 2830040 3066340 3537550 3832925 4491416 5614270 5660080 6132680 7075100 7665850 8982832 11228540 12265360 14035675 14150200 15331700 22457080 28071350 28300400 30663400 44914160 56142700 61326800 78038353 112285400 156076706 224570800 312153412 390191765 624306824 780383530 1248613648 1560767060 1950958825 3121534120 3901917650 6243068240 7803835300 15607670600 31215341200