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1010131023020 = 2257374321121493
BaseRepresentation
bin11101011001100001000…
…00000011010010101100
310120120022202201201101212
432230300200003102230
5113022222020214040
62052014153253552
7132656663012210
oct16546040032254
93516282651355
101010131023020
1135a4376a0499
1214392aa042b8
137434116c312
1436c67b54940
151b420da5d65
hexeb308034ac

1010131023020 has 192 divisors, whose sum is σ = 2559933336576. Its totient is φ = 327558712320.

The previous prime is 1010131022993. The next prime is 1010131023037. The reversal of 1010131023020 is 203201310101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1010131022986 and 1010131023004.

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, 46987394 + ... + 47008886.

It is an arithmetic number, because the mean of its divisors is an integer number (13332986128).

Almost surely, 21010131023020 is an apocalyptic number.

1010131023020 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 1010131023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279966668288).

1010131023020 is an abundant number, since it is smaller than the sum of its proper divisors (1549802313556).

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

1010131023020 is a wasteful number, since it uses less digits than its factorization.

1010131023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21800 (or 21798 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1010131023020 its reverse (203201310101), we get a palindrome (1213332333121).

The spelling of 1010131023020 in words is "one trillion, ten billion, one hundred thirty-one million, twenty-three thousand, twenty".