Search a number
-
+
131110021000 = 2353764728949
BaseRepresentation
bin111101000011011000…
…1000010011110001000
3110112102021122011011201
41322012301002132020
54122003131133000
6140121530433544
712321012535120
oct1720661023610
9415367564151
10131110021000
1150670209362
12214b05928b4
13c495b537aa
1464baa95c80
15362552896a
hex1e86c42788

131110021000 has 128 divisors (see below), whose sum is σ = 351179712000. Its totient is φ = 44880979200.

The previous prime is 131110020947. The next prime is 131110021013. The reversal of 131110021000 is 120011131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4514526 + ... + 4543474.

It is an arithmetic number, because the mean of its divisors is an integer number (2743591500).

Almost surely, 2131110021000 is an apocalyptic number.

131110021000 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 131110021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175589856000).

131110021000 is an abundant number, since it is smaller than the sum of its proper divisors (220069691000).

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

131110021000 is a wasteful number, since it uses less digits than its factorization.

131110021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29624 (or 29610 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 131110021000 its reverse (120011131), we get a palindrome (131230032131).

The spelling of 131110021000 in words is "one hundred thirty-one billion, one hundred ten million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 647 700 875 1000 1294 1400 1750 2588 3235 3500 4529 5176 6470 7000 9058 12940 16175 18116 22645 25880 28949 32350 36232 45290 57898 64700 80875 90580 113225 115796 129400 144745 161750 181160 202643 226450 231592 289490 323500 405286 452900 566125 578980 647000 723725 810572 905800 1013215 1132250 1157960 1447450 1621144 2026430 2264500 2894900 3618625 4052860 4529000 5066075 5789800 7237250 8105720 10132150 14474500 18730003 20264300 25330375 28949000 37460006 40528600 50660750 74920012 93650015 101321500 131110021 149840024 187300030 202643000 262220042 374600060 468250075 524440084 655550105 749200120 936500150 1048880168 1311100210 1873000300 2341250375 2622200420 3277750525 3746000600 4682500750 5244400840 6555501050 9365001500 13111002100 16388752625 18730003000 26222004200 32777505250 65555010500 131110021000