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20414321430100 = 225213277331171271
BaseRepresentation
bin1001010010001000101000…
…11000001000111001010100
32200021120221011022220102121
410221010110120020321110
510133432012241230400
6111230113152145324
74204612626044263
oct451042430107124
980246834286377
1020414321430100
116560735279884
122358522b38244
13b510a69c3070
145080b64885da
15256053c0621a
hex129114608e54

20414321430100 has 144 divisors (see below), whose sum is σ = 48023854915456. Its totient is φ = 7487650368000.

The previous prime is 20414321430077. The next prime is 20414321430119. The reversal of 20414321430100 is 103412341402.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119107465 + ... + 119278735.

Almost surely, 220414321430100 is an apocalyptic number.

20414321430100 is a gapful number since it is divisible by the number (20) 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 20414321430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24011927457728).

20414321430100 is an abundant number, since it is smaller than the sum of its proper divisors (27609533485356).

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

20414321430100 is a wasteful number, since it uses less digits than its factorization.

20414321430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171906 (or 171899 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 20414321430100 its reverse (103412341402), we get a palindrome (20517733771502).

The spelling of 20414321430100 in words is "twenty trillion, four hundred fourteen billion, three hundred twenty-one million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 277 325 331 554 650 662 1108 1300 1324 1385 1655 2770 3310 3601 4303 5540 6620 6925 7202 8275 8606 13850 14404 16550 17212 18005 21515 27700 33100 36010 43030 72020 86060 90025 91687 107575 171271 180050 183374 215150 342542 360100 366748 430300 458435 685084 856355 916870 1191931 1712710 1833740 2226523 2292175 2383862 3425420 4281775 4453046 4584350 4767724 5959655 8563550 8906092 9168700 11132615 11919310 17127100 22265230 23838620 29798275 44530460 47442067 55663075 56690701 59596550 94884134 111326150 113381402 119193100 189768268 222652300 226762804 237210335 283453505 474420670 566907010 616746871 736979113 948841340 1133814020 1186051675 1233493742 1417267525 1473958226 2372103350 2466987484 2834535050 2947916452 3083734355 3684895565 4744206700 5669070100 6167468710 7369791130 12334937420 14739582260 15418671775 15703324177 18424477825 30837343550 31406648354 36848955650 61674687100 62813296708 73697911300 78516620885 157033241770 204143214301 314066483540 392583104425 408286428602 785166208850 816572857204 1020716071505 1570332417700 2041432143010 4082864286020 5103580357525 10207160715050 20414321430100