Search a number
-
+
1001020111220 = 2258914924115661
BaseRepresentation
bin11101001000100010111…
…00101011100101110100
310112200210210221110000002
432210101130223211310
5112400042122024340
62043510131010432
7132215132361143
oct16442134534564
93480723843002
101001020111220
11356591835618
12142007739a18
137351b72794c
1436641b0b75a
151b08b0bb715
hexe91172b974

1001020111220 has 96 divisors (see below), whose sum is σ = 2149045668000. Its totient is φ = 391595212800.

The previous prime is 1001020111219. The next prime is 1001020111249. The reversal of 1001020111220 is 221110201001.

1001020111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 131400450064 + 869619661156 = 362492^2 + 932534^2 .

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, 63910190 + ... + 63925850.

It is an arithmetic number, because the mean of its divisors is an integer number (22385892375).

Almost surely, 21001020111220 is an apocalyptic number.

1001020111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001020111220 is an abundant number, since it is smaller than the sum of its proper divisors (1148025556780).

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

1001020111220 is a wasteful number, since it uses less digits than its factorization.

1001020111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16149 (or 16147 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001020111220 its reverse (221110201001), we get a palindrome (1222130312221).

The spelling of 1001020111220 in words is "one trillion, one billion, twenty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 89 149 178 241 298 356 445 482 596 745 890 964 1205 1490 1780 2410 2980 4820 13261 15661 21449 26522 31322 35909 42898 53044 62644 66305 71818 78305 85796 107245 132610 143636 156610 179545 214490 265220 313220 359090 428980 718180 1393829 2333489 2787658 3195901 3774301 4666978 5575316 6391802 6969145 7548602 9333956 11667445 12783604 13938290 15097204 15979505 18871505 23334890 27876580 31959010 37743010 46669780 63918020 75486020 207680521 335912789 415361042 562370849 671825578 830722084 1038402605 1124741698 1343651156 1679563945 2076805210 2249483396 2811854245 3359127890 4153610420 5623708490 6718255780 11247416980 50051005561 100102011122 200204022244 250255027805 500510055610 1001020111220