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134311121400 = 233521713167757
BaseRepresentation
bin111110100010110010…
…0010001000111111000
3110211200101001220101210
41331011210101013320
54200032121341100
6141411321243120
712463232460261
oct1750544210770
9424611056353
10134311121400
1151a63143485
12220446334a0
13c8860b9141
146701c89968
153761592c50
hex1f459111f8

134311121400 has 96 divisors (see below), whose sum is σ = 440856537840. Its totient is φ = 33709455360.

The previous prime is 134311121387. The next prime is 134311121431. The reversal of 134311121400 is 4121113431.

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, 6573679 + ... + 6594078.

Almost surely, 2134311121400 is an apocalyptic number.

134311121400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134311121400 is an abundant number, since it is smaller than the sum of its proper divisors (306545416440).

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

134311121400 is a wasteful number, since it uses less digits than its factorization.

134311121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13167793 (or 13167784 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 134311121400 its reverse (4121113431), we get a palindrome (138432234831).

The spelling of 134311121400 in words is "one hundred thirty-four billion, three hundred eleven million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 13167757 26335514 39503271 52671028 65838785 79006542 105342056 131677570 158013084 197516355 223851869 263355140 316026168 329193925 395032710 447703738 526710280 658387850 671555607 790065420 895407476 987581775 1119259345 1316775700 1343111214 1580130840 1790814952 1975163550 2238518690 2633551400 2686222428 3357778035 3950327100 4477037380 5372444856 5596296725 6715556070 7900654200 8954074760 11192593450 13431112140 16788890175 22385186900 26862224280 33577780350 44770373800 67155560700 134311121400