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1012021101220 = 225821206929789
BaseRepresentation
bin11101011101000010010…
…10001000001010100100
310120202012111020122021011
432232201022020022210
5113040104400214340
62052525512232004
7133054553266243
oct16564112101244
93522174218234
101012021101220
1136021758a198
1214417799b604
137458290aa9c
1436da6b9895a
151b4d1ca40ea
hexeba12882a4

1012021101220 has 48 divisors (see below), whose sum is σ = 2128932817200. Its totient is φ = 404106391040.

The previous prime is 1012021101211. The next prime is 1012021101229. The reversal of 1012021101220 is 221011202101.

It is an interprime number because it is at equal distance from previous prime (1012021101211) and next prime (1012021101229).

It can be written as a sum of positive squares in 8 ways, for example, as 396449048164 + 615572053056 = 629642^2 + 784584^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1012021101220.

It is not an unprimeable number, because it can be changed into a prime (1012021101229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33958086 + ... + 33987874.

It is an arithmetic number, because the mean of its divisors is an integer number (44352767025).

Almost surely, 21012021101220 is an apocalyptic number.

1012021101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012021101220 is an abundant number, since it is smaller than the sum of its proper divisors (1116911715980).

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

1012021101220 is a wasteful number, since it uses less digits than its factorization.

1012021101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32688 (or 32686 counting only the distinct ones).

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

Adding to 1012021101220 its reverse (221011202101), we get a palindrome (1233032303321).

The spelling of 1012021101220 in words is "one trillion, twelve billion, twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 821 1642 2069 3284 4105 4138 8210 8276 10345 16420 20690 29789 41380 59578 119156 148945 297890 595780 1698649 3397298 6794596 8493245 16986490 24456769 33972980 48913538 61633441 97827076 122283845 123266882 244567690 246533764 308167205 489135380 616334410 1232668820 50601055061 101202110122 202404220244 253005275305 506010550610 1012021101220