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1031019352272 = 2433713103254627
BaseRepresentation
bin11110000000011011000…
…10101101000011010000
310122120020111210210022000
433000031202231003100
5113343011423233042
62105351014514000
7134326422616260
oct17001542550320
93576214723260
101031019352272
11368286600418
1214799a365900
13762bc8b5460
1437c89dd97a0
151bc44ae574c
hexf00d8ad0d0

1031019352272 has 320 divisors, whose sum is σ = 3677724610560. Its totient is φ = 269276161536.

The previous prime is 1031019352249. The next prime is 1031019352291. The reversal of 1031019352272 is 2722539101301.

It is a happy number.

1031019352272 is a `hidden beast` number, since 1 + 0 + 31 + 0 + 1 + 9 + 352 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3921823 + ... + 4176449.

It is an arithmetic number, because the mean of its divisors is an integer number (11492889408).

Almost surely, 21031019352272 is an apocalyptic number.

1031019352272 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 1031019352272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838862305280).

1031019352272 is an abundant number, since it is smaller than the sum of its proper divisors (2646705258288).

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

1031019352272 is a wasteful number, since it uses less digits than its factorization.

1031019352272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254767 (or 254755 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 1031019352272 in words is "one trillion, thirty-one billion, nineteen million, three hundred fifty-two thousand, two hundred seventy-two".