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1011122013220 = 22511149144721317
BaseRepresentation
bin11101011011010111001…
…00011000010000100100
310120122212211110020101121
432231223210120100210
5113031234213410340
62052300353503324
7133023355206364
oct16555344302044
93518784406347
101011122013220
1135a8a6020060
12143b66871b44
137446b573557
1436d1d5d89a4
151b47cda794a
hexeb6b918424

1011122013220 has 96 divisors (see below), whose sum is σ = 2333655878400. Its totient is φ = 364943562240.

The previous prime is 1011122013169. The next prime is 1011122013229. The reversal of 1011122013220 is 223102211101.

It is a junction number, because it is equal to n+sod(n) for n = 1011122013194 and 1011122013203.

It is not an unprimeable number, because it can be changed into a prime (1011122013229) 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, 47422002 + ... + 47443318.

It is an arithmetic number, because the mean of its divisors is an integer number (24308915400).

Almost surely, 21011122013220 is an apocalyptic number.

1011122013220 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 1011122013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166827939200).

1011122013220 is an abundant number, since it is smaller than the sum of its proper divisors (1322533865180).

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

1011122013220 is a wasteful number, since it uses less digits than its factorization.

1011122013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22933 (or 22931 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1011122013220 its reverse (223102211101), we get a palindrome (1234224224321).

The spelling of 1011122013220 in words is "one trillion, eleven billion, one hundred twenty-two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 745 1447 1490 1639 2894 2980 3278 5788 6556 7235 8195 14470 15917 16390 21317 28940 31834 32780 42634 63668 79585 85268 106585 159170 213170 215603 234487 318340 426340 431206 468974 862412 937948 1078015 1172435 2156030 2344870 2371633 3176233 4312060 4689740 4743266 6352466 9486532 11858165 12704932 15881165 23716330 30845699 31762330 34938563 47432660 61691398 63524660 69877126 123382796 139754252 154228495 174692815 308456990 339302689 349385630 616913980 678605378 698771260 1357210756 1696513445 3393026890 4596009151 6786053780 9192018302 18384036604 22980045755 45960091510 50556100661 91920183020 101112201322 202224402644 252780503305 505561006610 1011122013220