Search a number
-
+
1220011211020 = 225721847674017
BaseRepresentation
bin10001110000001110010…
…101011011100100001100
311022122001200022221212011
4101300032111123210030
5124442040332223040
62332244310151004
7154100005122100
oct21601625334414
94278050287764
101220011211020
11430449583118
12178543352464
138b07b3b9484
14430980cb900
1521b0691d3ea
hex11c0e55b90c

1220011211020 has 72 divisors (see below), whose sum is σ = 2981931122016. Its totient is φ = 418062468096.

The previous prime is 1220011210981. The next prime is 1220011211053. The reversal of 1220011211020 is 201121100221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473052 + ... + 2147068.

It is an arithmetic number, because the mean of its divisors is an integer number (41415710028).

Almost surely, 21220011211020 is an apocalyptic number.

1220011211020 is a gapful number since it is divisible by the number (10) 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 1220011211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490965561008).

1220011211020 is an abundant number, since it is smaller than the sum of its proper divisors (1761919910996).

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

1220011211020 is a wasteful number, since it uses less digits than its factorization.

1220011211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675887 (or 675878 counting only the distinct ones).

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

Adding to 1220011211020 its reverse (201121100221), we get a palindrome (1421132311241).

The spelling of 1220011211020 in words is "one trillion, two hundred twenty billion, eleven million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1847 3694 7388 9235 12929 18470 25858 36940 51716 64645 90503 129290 181006 258580 362012 452515 674017 905030 1348034 1810060 2696068 3370085 4718119 6740170 9436238 13480340 18872476 23590595 33026833 47181190 66053666 94362380 132107332 165134165 330268330 660536660 1244909399 2489818798 4979637596 6224546995 8714365793 12449093990 17428731586 24898187980 34857463172 43571828965 61000560551 87143657930 122001121102 174287315860 244002242204 305002802755 610005605510 1220011211020