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101011221220 = 22571355500671
BaseRepresentation
bin101111000010010111…
…1001110101011100100
3100122201122102200222111
41132010233032223210
53123332333034340
6114223125010404
710204103133220
oct1360457165344
9318648380874
10101011221220
1139925223618
12176b0553a04
1396aa1782b0
144c6348d780
152962dd5aea
hex1784bceae4

101011221220 has 48 divisors (see below), whose sum is σ = 261075161088. Its totient is φ = 31968385920.

The previous prime is 101011221167. The next prime is 101011221281. The reversal of 101011221220 is 22122110101.

It is a super-3 number, since 3×1010112212203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 101011221220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27748516 + ... + 27752155.

It is an arithmetic number, because the mean of its divisors is an integer number (5439065856).

Almost surely, 2101011221220 is an apocalyptic number.

101011221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011221220 is an abundant number, since it is smaller than the sum of its proper divisors (160063939868).

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

101011221220 is a wasteful number, since it uses less digits than its factorization.

101011221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55500700 (or 55500698 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101011221220 its reverse (22122110101), we get a palindrome (123133331321).

It can be divided in two parts, 10101 and 1221220, that added together give a palindrome (1231321).

The spelling of 101011221220 in words is "one hundred one billion, eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 55500671 111001342 222002684 277503355 388504697 555006710 721508723 777009394 1110013420 1443017446 1554018788 1942523485 2886034892 3607543615 3885046970 5050561061 7215087230 7770093940 10101122122 14430174460 20202244244 25252805305 50505610610 101011221220