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100134020121140 = 225211353646910391
BaseRepresentation
bin10110110001001001000100…
…101100110000001000110100
3111010112201102000211002101002
4112301021010230300020310
5101111043433122334030
6552544533411022432
730043305236315345
oct2661110454601064
9433481360732332
10100134020121140
11299a6665962875
12b29278889aa18
1343b479cb65785
141aa272618c0cc
15b89ab0530245
hex5b1244b30234

100134020121140 has 96 divisors (see below), whose sum is σ = 211929704259840. Its totient is φ = 39740882227200.

The previous prime is 100134020121073. The next prime is 100134020121151. The reversal of 100134020121140 is 41121020431001.

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 31 ways as a sum of consecutive naturals, for example, 9636605345 + ... + 9636615735.

It is an arithmetic number, because the mean of its divisors is an integer number (2207601086040).

Almost surely, 2100134020121140 is an apocalyptic number.

100134020121140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100134020121140 is an abundant number, since it is smaller than the sum of its proper divisors (111795684138700).

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

100134020121140 is a wasteful number, since it uses less digits than its factorization.

100134020121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17433 (or 17431 counting only the distinct ones).

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

Adding to 100134020121140 its reverse (41121020431001), we get a palindrome (141255040552141).

The spelling of 100134020121140 in words is "one hundred trillion, one hundred thirty-four billion, twenty million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 211 353 422 706 844 1055 1412 1765 2110 3530 4220 6469 7060 10391 12938 20782 25876 32345 41564 51955 64690 74483 103910 129380 148966 207820 297932 372415 744830 1364959 1489660 2192501 2283557 2729918 3668023 4385002 4567114 5459836 6824795 7336046 8770004 9134228 10962505 11417785 13649590 14672092 18340115 21925010 22835570 27299180 36680230 43850020 45671140 67219379 73360460 134438758 268877516 336096895 481830527 672193790 773952853 963661054 1344387580 1547905706 1927322108 2409152635 3095811412 3869764265 4818305270 7739528530 9636610540 14183288969 15479057060 23728440787 28366577938 47456881574 56733155876 70916444845 94913763148 118642203935 141832889690 237284407870 283665779380 474568815740 5006701006057 10013402012114 20026804024228 25033505030285 50067010060570 100134020121140