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1031012212032 = 263211166397849
BaseRepresentation
bin11110000000011010001…
…11011101110101000000
310122120020000101000201200
433000031013131311000
5113343003111241112
62105350201501200
7134326305130245
oct17001507356500
93576200330650
101031012212032
113682825738a0
12147997aa1800
13762bb28546a
1437c8909b5cc
151bc44184cdc
hexf00d1ddd40

1031012212032 has 168 divisors, whose sum is σ = 3225837388800. Its totient is φ = 312236881920.

The previous prime is 1031012211899. The next prime is 1031012212039. The reversal of 1031012212032 is 2302122101301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1031012211996 and 1031012212014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031012212039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10487844 + ... + 10585692.

Almost surely, 21031012212032 is an apocalyptic number.

1031012212032 is a gapful number since it is divisible by the number (12) 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 1031012212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612918694400).

1031012212032 is an abundant number, since it is smaller than the sum of its proper divisors (2194825176768).

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

1031012212032 is a wasteful number, since it uses less digits than its factorization.

1031012212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99541 (or 99528 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1031012212032 its reverse (2302122101301), we get a palindrome (3333134313333).

The spelling of 1031012212032 in words is "one trillion, thirty-one billion, twelve million, two hundred twelve thousand, thirty-two".