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1011012211220 = 2251124110189601
BaseRepresentation
bin11101011011001010000…
…01100001001000010100
310120122121011211201100212
432231211001201020110
5113031023111224340
62052241432224552
7133020553001054
oct16554501411024
93518534751325
101011012211220
1135a84a044200
12143b35b3b158
13744518aa35b
1436d0cbb5564
151b473418a65
hexeb65061214

1011012211220 has 72 divisors (see below), whose sum is σ = 2390602904424. Its totient is φ = 358673920000.

The previous prime is 1011012211219. The next prime is 1011012211267. The reversal of 1011012211220 is 221122101101.

It can be written as a sum of positive squares in 4 ways, for example, as 271524484 + 1010740686736 = 16478^2 + 1005356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1011012211195 and 1011012211204.

It is a congruent number.

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, 4995581 + ... + 5194020.

It is an arithmetic number, because the mean of its divisors is an integer number (33202818117).

Almost surely, 21011012211220 is an apocalyptic number.

1011012211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011012211220 is an abundant number, since it is smaller than the sum of its proper divisors (1379590693204).

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

1011012211220 is a wasteful number, since it uses less digits than its factorization.

1011012211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10189673 (or 10189660 counting only the distinct ones).

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

Adding to 1011012211220 its reverse (221122101101), we get a palindrome (1232134312321).

The spelling of 1011012211220 in words is "one trillion, eleven billion, twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 164 205 220 242 410 451 484 605 820 902 1210 1804 2255 2420 4510 4961 9020 9922 19844 24805 49610 99220 10189601 20379202 40758404 50948005 101896010 112085611 203792020 224171222 417773641 448342444 560428055 835547282 1120856110 1232941721 1671094564 2088868205 2241712220 2465883442 4177736410 4595510051 4931766884 6164708605 8355472820 9191020102 12329417210 18382040204 22977550255 24658834420 45955100510 50550610561 91910201020 101101221122 202202442244 252753052805 505506105610 1011012211220