Search a number
-
+
1011000221220 = 2235113739740961
BaseRepresentation
bin11101011011001000100…
…11110001111000100100
310120122120100021120011210
432231210103301320210
5113031012024034340
62052240323231420
7133020346042563
oct16554423617044
93518510246153
101011000221220
1135a8432a4a10
12143b31b18570
137444c26ca92
1436d0b373bda
151b47234b180
hexeb644f1e24

1011000221220 has 96 divisors (see below), whose sum is σ = 3088304102016. Its totient is φ = 245078425600.

The previous prime is 1011000221177. The next prime is 1011000221239. The reversal of 1011000221220 is 221220001101.

1011000221220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1011000221196 and 1011000221205.

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, 24661540 + ... + 24702500.

It is an arithmetic number, because the mean of its divisors is an integer number (32169834396).

Almost surely, 21011000221220 is an apocalyptic number.

1011000221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011000221220 is an abundant number, since it is smaller than the sum of its proper divisors (2077303880796).

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

1011000221220 is a wasteful number, since it uses less digits than its factorization.

1011000221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78381 (or 78379 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1011000221220 its reverse (221220001101), we get a palindrome (1232220222321).

The spelling of 1011000221220 in words is "one trillion, eleven billion, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 37397 40961 74794 81922 112191 122883 149588 163844 186985 204805 224382 245766 373970 409610 411367 448764 450571 491532 560955 614415 747940 819220 822734 901142 1121910 1228830 1234101 1351713 1645468 1802284 2056835 2243820 2252855 2457660 2468202 2703426 4113670 4505710 4936404 5406852 6170505 6758565 8227340 9011420 12341010 13517130 24682020 27034260 1531818517 3063637034 4595455551 6127274068 7659092585 9190911102 15318185170 16850003687 18381822204 22977277755 30636370340 33700007374 45954555510 50550011061 67400014748 84250018435 91909111020 101100022122 168500036870 202200044244 252750055305 337000073740 505500110610 1011000221220