Search a number
-
+
1105960223940 = 22351121312792269
BaseRepresentation
bin10000000110000000010…
…111011100010011000100
310220201200021021111220120
4100012000113130103010
5121110001304131230
62204023205501540
7142621503536505
oct20060027342304
93821607244816
101105960223940
11397042794500
1215a413a118b0
13803a38583c0
143b758cc0bac
151db7dd7d310
hex101805dc4c4

1105960223940 has 288 divisors, whose sum is σ = 3694532136960. Its totient is φ = 245536220160.

The previous prime is 1105960223761. The next prime is 1105960223981. The reversal of 1105960223940 is 493220695011.

It is a junction number, because it is equal to n+sod(n) for n = 1105960223892 and 1105960223901.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11940126 + ... + 12032394.

Almost surely, 21105960223940 is an apocalyptic number.

1105960223940 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 1105960223940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847266068480).

1105960223940 is an abundant number, since it is smaller than the sum of its proper divisors (2588571913020).

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

1105960223940 is a wasteful number, since it uses less digits than its factorization.

1105960223940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92443 (or 92430 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 1105960223940 in words is "one trillion, one hundred five billion, nine hundred sixty million, two hundred twenty-three thousand, nine hundred forty".