Search a number
-
+
1124107123632 = 24329807548221
BaseRepresentation
bin10000010110111010000…
…000010111101110110000
310222110111221212112102120
4100112322000113232300
5121404132410424012
62220224020514240
7144133264616553
oct20267200275660
93873457775376
101124107123632
113a3805190869
12161a3924b980
138200634067c
143c59b02a69a
151e3920a258c
hex105ba017bb0

1124107123632 has 40 divisors (see below), whose sum is σ = 3004079385840. Its totient is φ = 361781602560.

The previous prime is 1124107123631. The next prime is 1124107123673. The reversal of 1124107123632 is 2363217014211.

It is a junction number, because it is equal to n+sod(n) for n = 1124107123593 and 1124107123602.

It is not an unprimeable number, because it can be changed into a prime (1124107123631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403772719 + ... + 403775502.

It is an arithmetic number, because the mean of its divisors is an integer number (75101984646).

Almost surely, 21124107123632 is an apocalyptic number.

1124107123632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1124107123632 is an abundant number, since it is smaller than the sum of its proper divisors (1879972262208).

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

1124107123632 is a wasteful number, since it uses less digits than its factorization.

1124107123632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807548261 (or 807548255 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 1124107123632 in words is "one trillion, one hundred twenty-four billion, one hundred seven million, one hundred twenty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 807548221 1615096442 2422644663 3230192884 4845289326 6460385768 9690578652 12920771536 19381157304 23418898409 38762314608 46837796818 70256695227 93675593636 140513390454 187351187272 281026780908 374702374544 562053561816 1124107123632