Search a number
-
+
131000222000 = 24531131374231
BaseRepresentation
bin111101000000000111…
…0001100000100110000
3110112010122000210021002
41322000032030010300
54121242024101000
6140103005221132
712315210341324
oct1720016140460
9415118023232
10131000222000
115061423478a
122147b8617a8
13c47918ba7b
1464aa273984
15361aa8a8d5
hex1e8038c130

131000222000 has 160 divisors (see below), whose sum is σ = 321970356864. Its totient is φ = 51545088000.

The previous prime is 131000221999. The next prime is 131000222009. The reversal of 131000222000 is 222000131.

It is a happy number.

It is a super-2 number, since 2×1310002220002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131000222009) by changing a digit.

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, 30959885 + ... + 30964115.

Almost surely, 2131000222000 is an apocalyptic number.

131000222000 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 131000222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160985178432).

131000222000 is an abundant number, since it is smaller than the sum of its proper divisors (190970134864).

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

131000222000 is a wasteful number, since it uses less digits than its factorization.

131000222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 131000222000 its reverse (222000131), we get a palindrome (131222222131).

The spelling of 131000222000 in words is "one hundred thirty-one billion, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 137 200 226 250 274 400 452 500 548 565 685 904 1000 1096 1130 1370 1808 2000 2192 2260 2740 2825 3425 4231 4520 5480 5650 6850 8462 9040 10960 11300 13700 14125 15481 16924 17125 21155 22600 27400 28250 30962 33848 34250 42310 45200 54800 56500 61924 67696 68500 77405 84620 105775 113000 123848 137000 154810 169240 211550 226000 247696 274000 309620 338480 387025 423100 478103 528875 579647 619240 774050 846200 956206 1057750 1159294 1238480 1548100 1692400 1912412 1935125 2115500 2318588 2390515 2898235 3096200 3824824 3870250 4231000 4637176 4781030 5796470 6192400 7649648 7740500 8462000 9274352 9562060 11592940 11952575 14491175 15481000 19124120 23185880 23905150 28982350 30962000 38248240 46371760 47810300 57964700 59762875 65500111 72455875 95620600 115929400 119525750 131000222 144911750 191241200 231858800 239051500 262000444 289823500 327500555 478103000 524000888 579647000 655001110 956206000 1048001776 1159294000 1310002220 1637502775 2620004440 3275005550 5240008880 6550011100 8187513875 13100022200 16375027750 26200044400 32750055500 65500111000 131000222000