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11301211132220 = 2254397751180391
BaseRepresentation
bin1010010001110100010010…
…1011001101000100111100
31111000101101211112121010102
42210131010223031010330
52440124340022212340
640011412115300232
72244325355440502
oct244350453150474
944011354477112
1011301211132220
1136678a9075829
1213263008aa678
1363c913144139
142b0da54a4672
15148e85352215
hexa4744acd13c

11301211132220 has 96 divisors (see below), whose sum is σ = 24567624001536. Its totient is φ = 4363994880000.

The previous prime is 11301211132217. The next prime is 11301211132223. The reversal of 11301211132220 is 2223111210311.

It is an interprime number because it is at equal distance from previous prime (11301211132217) and next prime (11301211132223).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11301211132192 and 11301211132201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301211132223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62558225 + ... + 62738615.

It is an arithmetic number, because the mean of its divisors is an integer number (255912750016).

Almost surely, 211301211132220 is an apocalyptic number.

11301211132220 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 11301211132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12283812000768).

11301211132220 is an abundant number, since it is smaller than the sum of its proper divisors (13266412869316).

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

11301211132220 is a wasteful number, since it uses less digits than its factorization.

11301211132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181291 (or 181289 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11301211132220 its reverse (2223111210311), we get a palindrome (13524322342531).

The spelling of 11301211132220 in words is "eleven trillion, three hundred one billion, two hundred eleven million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 97 172 194 215 388 430 485 751 860 970 1502 1940 3004 3755 4171 7510 8342 15020 16684 20855 32293 41710 64586 72847 83420 129172 145694 161465 180391 291388 322930 360782 364235 645860 721564 728470 901955 1456940 1803910 3132421 3607820 6264842 7756813 12529684 15513626 15662105 17497927 31027252 31324210 34995854 38784065 62648420 69991708 77568130 87489635 135473641 155136260 174979270 270947282 349958540 541894564 677368205 752410861 1354736410 1504821722 2709472820 3009643444 3762054305 5825366563 7524108610 11650733126 13140943177 15048217220 23301466252 26281886354 29126832815 52563772708 58253665630 65704715885 116507331260 131409431770 262818863540 565060556611 1130121113222 2260242226444 2825302783055 5650605566110 11301211132220