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1011211102220 = 2251141172165141
BaseRepresentation
bin11101011011100001110…
…00001110100000001100
310120200010001002102112012
432231300320032200030
5113031430020232340
62052313255200352
7133025516356154
oct16556070164014
93520101072465
101011211102220
1135a941339a30
12143b906760b8
1374483b66937
1436d2b389764
151b485b04565
hexeb70e0e80c

1011211102220 has 96 divisors (see below), whose sum is σ = 2374510324032. Its totient is φ = 358530560000.

The previous prime is 1011211102219. The next prime is 1011211102249. The reversal of 1011211102220 is 222011121101.

It is a junction number, because it is equal to n+sod(n) for n = 1011211102195 and 1011211102204.

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, 15490850 + ... + 15555990.

It is an arithmetic number, because the mean of its divisors is an integer number (24734482542).

Almost surely, 21011211102220 is an apocalyptic number.

1011211102220 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 1011211102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187255162016).

1011211102220 is an abundant number, since it is smaller than the sum of its proper divisors (1363299221812).

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

1011211102220 is a wasteful number, since it uses less digits than its factorization.

1011211102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66923 (or 66921 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1011211102220 its reverse (222011121101), we get a palindrome (1233222223321).

The spelling of 1011211102220 in words is "one trillion, eleven billion, two hundred eleven million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1721 1804 2255 3442 4510 6884 8605 9020 17210 18931 34420 37862 65141 70561 75724 94655 130282 141122 189310 260564 282244 325705 352805 378620 651410 705610 716551 776171 1302820 1411220 1433102 1552342 2670781 2866204 3104684 3582755 3880855 5341562 7165510 7761710 10683124 13353905 14331020 15523420 26707810 29378591 53415620 58757182 112107661 117514364 146892955 224215322 293785910 448430644 560538305 587571820 1121076610 1233184271 2242153220 2466368542 4596414101 4932737084 6165921355 9192828202 12331842710 18385656404 22982070505 24663685420 45964141010 50560555111 91928282020 101121110222 202242220444 252802775555 505605551110 1011211102220