Search a number
-
+
131000333020400 = 24521273041847993
BaseRepresentation
bin11101110010010011100100…
…010100001010110011110000
3122011211111202110001220100202
4131302103210110022303300
5114132302140223123100
61142340415554134332
736410314242115454
oct3562234424126360
9564744673056322
10131000333020400
1138816a24900298
12128388aa5813a8
1358133808404cc
14244c642932664
1510229451927d5
hex7724e450acf0

131000333020400 has 120 divisors (see below), whose sum is σ = 317311159785984. Its totient is φ = 51970376908800.

The previous prime is 131000333020397. The next prime is 131000333020451. The reversal of 131000333020400 is 4020333000131.

It is a super-2 number, since 2×1310003330204002 (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154058804 + ... + 154906796.

Almost surely, 2131000333020400 is an apocalyptic number.

131000333020400 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 131000333020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158655579892992).

131000333020400 is an abundant number, since it is smaller than the sum of its proper divisors (186310826765584).

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

131000333020400 is a wasteful number, since it uses less digits than its factorization.

131000333020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851179 (or 851168 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 131000333020400 its reverse (4020333000131), we get a palindrome (135020666020531).

The spelling of 131000333020400 in words is "one hundred thirty-one trillion, three hundred thirty-three million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 127 200 254 400 508 635 1016 1270 2032 2540 3041 3175 5080 6082 6350 10160 12164 12700 15205 24328 25400 30410 48656 50800 60820 76025 121640 152050 243280 304100 386207 608200 772414 847993 1216400 1544828 1695986 1931035 3089656 3391972 3862070 4239965 6179312 6783944 7724140 8479930 9655175 13567888 15448280 16959860 19310350 21199825 30896560 33919720 38620700 42399650 67839440 77241400 84799300 107695111 154482800 169598600 215390222 339197200 430780444 538475555 861560888 1076951110 1723121776 2153902220 2578746713 2692377775 4307804440 5157493426 5384755550 8615608880 10314986852 10769511100 12893733565 20629973704 21539022200 25787467130 41259947408 43078044400 51574934260 64468667825 103149868520 128937335650 206299737040 257874671300 327500832551 515749342600 655001665102 1031498685200 1310003330204 1637504162755 2620006660408 3275008325510 5240013320816 6550016651020 8187520813775 13100033302040 16375041627550 26200066604080 32750083255100 65500166510200 131000333020400