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1012131233024 = 2819748727793
BaseRepresentation
bin11101011101001111011…
…10001111110100000000
310120202111011110220200212
432232213232033310000
5113040321043424044
62052544444533252
7133060361350232
oct16564756176400
93522434426625
101012131233024
1136027377090a
121441a8851228
137459c68b132
1436db7666252
151b4db7aaa9e
hexeba7b8fd00

1012131233024 has 72 divisors (see below), whose sum is σ = 2127001443840. Its totient is φ = 479349301248.

The previous prime is 1012131233023. The next prime is 1012131233027. The reversal of 1012131233024 is 4203321312101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012131233023) 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, 36402872 + ... + 36430664.

It is an arithmetic number, because the mean of its divisors is an integer number (29541686720).

Almost surely, 21012131233024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012131233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063500721920).

1012131233024 is an abundant number, since it is smaller than the sum of its proper divisors (1114870210816).

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

1012131233024 is an equidigital number, since it uses as much as digits as its factorization.

1012131233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35315 (or 35301 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1012131233024 its reverse (4203321312101), we get a palindrome (5215452545125).

The spelling of 1012131233024 in words is "one trillion, twelve billion, one hundred thirty-one million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4864 7487 14974 27793 29948 55586 59896 111172 119792 142253 222344 239584 284506 444688 479168 528067 569012 889376 958336 1056134 1138024 1778752 1916672 2112268 2276048 3557504 4224536 4552096 7115008 8449072 9104192 16898144 18208384 33796288 36416768 67592576 135185152 208086191 416172382 832344764 1664689528 3329379056 3953637629 6658758112 7907275258 13317516224 15814550516 26635032448 31629101032 53270064896 63258202064 126516404128 253032808256 506065616512 1012131233024