Search a number
-
+
1371372057200 = 245289181212827
BaseRepresentation
bin10011111101001100001…
…001001111001001110000
311212002202021110121202002
4103331030021033021300
5134432032221312300
62525555530313132
7201035610103655
oct23751411171160
94762667417662
101371372057200
11489660858132
121a19458887a8
139c420888a52
144a5364bbc2c
1525a14c0b5d5
hex13f4c24f270

1371372057200 has 120 divisors (see below), whose sum is σ = 3350163857040. Its totient is φ = 539386214400.

The previous prime is 1371372057193. The next prime is 1371372057221. The reversal of 1371372057200 is 27502731731.

It is a super-2 number, since 2×13713720572002 (a number of 25 digits) contains 22 as substring.

It is a congruent 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, 6337187 + ... + 6550013.

It is an arithmetic number, because the mean of its divisors is an integer number (27918032142).

Almost surely, 21371372057200 is an apocalyptic number.

1371372057200 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 1371372057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675081928520).

1371372057200 is an abundant number, since it is smaller than the sum of its proper divisors (1978791799840).

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

1371372057200 is a wasteful number, since it uses less digits than its factorization.

1371372057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213115 (or 213104 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 38.

Adding to 1371372057200 its reverse (27502731731), we get a palindrome (1398874788931).

The spelling of 1371372057200 in words is "one trillion, three hundred seventy-one billion, three hundred seventy-two million, fifty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 178 181 200 356 362 400 445 712 724 890 905 1424 1448 1780 1810 2225 2896 3560 3620 4450 4525 7120 7240 8900 9050 14480 16109 17800 18100 32218 35600 36200 64436 72400 80545 128872 161090 212827 257744 322180 402725 425654 644360 805450 851308 1064135 1288720 1610900 1702616 2128270 3221800 3405232 4256540 5320675 6443600 8513080 10641350 17026160 18941603 21282700 37883206 38521687 42565400 75766412 77043374 85130800 94708015 151532824 154086748 189416030 192608435 303065648 308173496 378832060 385216870 473540075 616346992 757664120 770433740 947080150 963042175 1515328240 1540867480 1894160300 1926084350 3081734960 3428430143 3788320600 3852168700 6856860286 7576641200 7704337400 13713720572 15408674800 17142150715 27427441144 34284301430 54854882288 68568602860 85710753575 137137205720 171421507150 274274411440 342843014300 685686028600 1371372057200