Search a number
-
+
31208114000 = 2453711319727
BaseRepresentation
bin11101000100001001…
…100000011101010000
32222112221120110020002
4131010021200131100
51002403234122000
622200430105132
72153236410050
oct350411403520
988487513202
1031208114000
1112265191a58
12606b64b1a8
132c3476a85b
141720a8b560
15c29c188d5
hex744260750

31208114000 has 160 divisors (see below), whose sum is σ = 87009002496. Its totient is φ = 10604697600.

The previous prime is 31208113973. The next prime is 31208114051. The reversal of 31208114000 is 41180213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1572137 + ... + 1591863.

Almost surely, 231208114000 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 31208114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43504501248).

31208114000 is an abundant number, since it is smaller than the sum of its proper divisors (55800888496).

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

31208114000 is a wasteful number, since it uses less digits than its factorization.

31208114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19870 (or 19854 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 31208114000 its reverse (41180213), we get a palindrome (31249294213).

The spelling of 31208114000 in words is "thirty-one billion, two hundred eight million, one hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 113 125 140 175 200 226 250 280 350 400 452 500 560 565 700 791 875 904 1000 1130 1400 1582 1750 1808 2000 2260 2800 2825 3164 3500 3955 4520 5650 6328 7000 7910 9040 11300 12656 14000 14125 15820 19727 19775 22600 28250 31640 39454 39550 45200 56500 63280 78908 79100 98635 98875 113000 138089 157816 158200 197270 197750 226000 276178 315632 316400 394540 395500 493175 552356 690445 789080 791000 986350 1104712 1380890 1578160 1582000 1972700 2209424 2229151 2465875 2761780 3452225 3945400 4458302 4931750 5523560 6904450 7890800 8916604 9863500 11047120 11145755 13808900 15604057 17261125 17833208 19727000 22291510 27617800 31208114 34522250 35666416 39454000 44583020 55235600 55728775 62416228 69044500 78020285 89166040 111457550 124832456 138089000 156040570 178332080 222915100 249664912 276178000 278643875 312081140 390101425 445830200 557287750 624162280 780202850 891660400 1114575500 1248324560 1560405700 1950507125 2229151000 3120811400 3901014250 4458302000 6241622800 7802028500 15604057000 31208114000