Search a number
-
+
310112013000 = 23353234494377
BaseRepresentation
bin1001000001101000001…
…11011100101011001000
31002122110020110111211010
410200310013130223020
520040102133404000
6354244040403520
731255602421656
oct4406407345310
91078406414733
10310112013000
1110a577168339
1250127a765a0
1323321aa775a
141101c101dd6
1581002e5d50
hex48341dcac8

310112013000 has 128 divisors (see below), whose sum is σ = 1009617073920. Its totient is φ = 79101017600.

The previous prime is 310112012971. The next prime is 310112013007. The reversal of 310112013000 is 310211013.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (310112013007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2178189 + ... + 2316188.

It is an arithmetic number, because the mean of its divisors is an integer number (7887633390).

Almost surely, 2310112013000 is an apocalyptic number.

310112013000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

310112013000 is an abundant number, since it is smaller than the sum of its proper divisors (699505060920).

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

310112013000 is a wasteful number, since it uses less digits than its factorization.

310112013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494424 (or 4494410 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 310112013000 its reverse (310211013), we get a palindrome (310422224013).

The spelling of 310112013000 in words is "three hundred ten billion, one hundred twelve million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 4494377 8988754 13483131 17977508 22471885 26966262 35955016 44943770 53932524 67415655 89887540 103370671 107865048 112359425 134831310 179775080 206741342 224718850 269662620 310112013 337078275 413482684 449437700 516853355 539325240 561797125 620224026 674156550 826965368 898875400 1033706710 1123594250 1240448052 1348313100 1550560065 1685391375 2067413420 2247188500 2480896104 2584266775 2696626200 3101120130 3370782750 4134826840 4494377000 5168533550 6202240260 6741565500 7752800325 10337067100 12404480520 12921333875 13483131000 15505600650 20674134200 25842667750 31011201300 38764001625 51685335500 62022402600 77528003250 103370671000 155056006500 310112013000