Search a number
-
+
1120142214020 = 225149520972161
BaseRepresentation
bin10000010011001101101…
…011011100001110000100
310222002021122012020221102
4100103031223130032010
5121323022401322040
62214330343035232
7143633111502404
oct20231553341604
93862248166842
101120142214020
113a2060094565
1216111143bb18
1381823a86bcb
143c30260c804
151e20de5e515
hex104cdadc384

1120142214020 has 48 divisors (see below), whose sum is σ = 2368573326000. Its totient is φ = 444958187520.

The previous prime is 1120142214013. The next prime is 1120142214029. The reversal of 1120142214020 is 204122410211.

It can be written as a sum of positive squares in 8 ways, for example, as 75457892416 + 1044684321604 = 274696^2 + 1022098^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1120142213983 and 1120142214001.

It is not an unprimeable number, because it can be changed into a prime (1120142214029) 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, 15486740 + ... + 15558900.

It is an arithmetic number, because the mean of its divisors is an integer number (49345277625).

Almost surely, 21120142214020 is an apocalyptic number.

1120142214020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120142214020 is an abundant number, since it is smaller than the sum of its proper divisors (1248431111980).

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

1120142214020 is a wasteful number, since it uses less digits than its factorization.

1120142214020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77528 (or 77526 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1120142214020 its reverse (204122410211), we get a palindrome (1324264624231).

The spelling of 1120142214020 in words is "one trillion, one hundred twenty billion, one hundred forty-two million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 5209 10418 20836 26045 52090 72161 104180 144322 288644 360805 721610 776141 1443220 1552282 3104564 3880705 7761410 10751989 15522820 21503978 43007956 53759945 107519890 215039780 375886649 751773298 1503546596 1879433245 3758866490 7517732980 56007110701 112014221402 224028442804 280035553505 560071107010 1120142214020