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1031241431220 = 223571113173121051
BaseRepresentation
bin11110000000110101100…
…01110111100010110100
310122120210222200120100020
433000122301313202310
5113343440301244340
62105425030445140
7134335060351620
oct17003261674264
93576728616306
101031241431220
1136838a9a3640
12147a408037b0
1376326900210
1437cab6c8180
151bc593619d0
hexf01ac778b4

1031241431220 has 1152 divisors, whose sum is σ = 4245668130816. Its totient is φ = 179988480000.

The previous prime is 1031241431201. The next prime is 1031241431249. The reversal of 1031241431220 is 221341421301.

1031241431220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 981199695 + ... + 981200745.

It is an arithmetic number, because the mean of its divisors is an integer number (3685475808).

Almost surely, 21031241431220 is an apocalyptic number.

1031241431220 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 1031241431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122834065408).

1031241431220 is an abundant number, since it is smaller than the sum of its proper divisors (3214426699596).

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

1031241431220 is a wasteful number, since it uses less digits than its factorization.

1031241431220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1031241431220 its reverse (221341421301), we get a palindrome (1252582852521).

The spelling of 1031241431220 in words is "one trillion, thirty-one billion, two hundred forty-one million, four hundred thirty-one thousand, two hundred twenty".