Search a number
-
+
20010200111200 = 25521314711307993
BaseRepresentation
bin1001000110010111111001…
…10111101001100001100000
32121211221211020202211202001
410203023330313221201200
510110321342212024300
6110320320425533344
74133455261363255
oct443137467514140
977757736684661
1020010200111200
116415307330602
1222b213b644254
13b21c52596cb0
144d26dabd142c
1524a7a05c116a
hex1232fcde9860

20010200111200 has 144 divisors (see below), whose sum is σ = 52643389107456. Its totient is φ = 7383353241600.

The previous prime is 20010200111183. The next prime is 20010200111203. The reversal of 20010200111200 is 211100201002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010200111203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14644404 + ... + 15952396.

It is an arithmetic number, because the mean of its divisors is an integer number (365579091024).

Almost surely, 220010200111200 is an apocalyptic number.

20010200111200 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 20010200111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26321694553728).

20010200111200 is an abundant number, since it is smaller than the sum of its proper divisors (32633188996256).

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

20010200111200 is a wasteful number, since it uses less digits than its factorization.

20010200111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309497 (or 1309484 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20010200111200 its reverse (211100201002), we get a palindrome (20221300312202).

The spelling of 20010200111200 in words is "twenty trillion, ten billion, two hundred million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 1471 2080 2600 2942 5200 5884 7355 10400 11768 14710 19123 23536 29420 36775 38246 47072 58840 73550 76492 95615 117680 147100 152984 191230 235360 294200 305968 382460 478075 588400 611936 764920 956150 1176800 1307993 1529840 1912300 2615986 3059680 3824600 5231972 6539965 7649200 10463944 13079930 15298400 17003909 20927888 26159860 32699825 34007818 41855776 52319720 65399650 68015636 85019545 104639440 130799300 136031272 170039090 209278880 261598600 272062544 340078180 425097725 523197200 544125088 680156360 850195450 1046394400 1360312720 1700390900 1924057703 2720625440 3400781800 3848115406 6801563600 7696230812 9620288515 13603127200 15392461624 19240577030 25012750139 30784923248 38481154060 48101442575 50025500278 61569846496 76962308120 96202885150 100051000556 125063750695 153924616240 192405770300 200102001112 250127501390 307849232480 384811540600 400204002224 500255002780 625318753475 769623081200 800408004448 1000510005560 1250637506950 1539246162400 2001020011120 2501275013900 4002040022240 5002550027800 10005100055600 20010200111200