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1020123051431 = 11373701354677
BaseRepresentation
bin11101101100001000001…
…00100111010110100111
310121112010010111100120012
432312010010213112213
5113203203000121211
62100345453200435
7133462412603321
oct16660404472647
93545103440505
101020123051431
113636a4960310
1214585919011b
13752742c8273
1437534c00611
151b8081dbd8b
hexed841275a7

1020123051431 has 16 divisors (see below), whose sum is σ = 1117439994528. Its totient is φ = 923576304000.

The previous prime is 1020123051421. The next prime is 1020123051469. The reversal of 1020123051431 is 1341503210201.

1020123051431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020123051431 is a prime.

It is a super-2 number, since 2×10201230514312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020123051397 and 1020123051406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020123051421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2698865 + ... + 3053541.

It is an arithmetic number, because the mean of its divisors is an integer number (69839999658).

Almost surely, 21020123051431 is an apocalyptic number.

1020123051431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1020123051431 is a deficient number, since it is larger than the sum of its proper divisors (97316943097).

1020123051431 is a wasteful number, since it uses less digits than its factorization.

1020123051431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355762.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 1020123051431 its reverse (1341503210201), we get a palindrome (2361626261632).

The spelling of 1020123051431 in words is "one trillion, twenty billion, one hundred twenty-three million, fifty-one thousand, four hundred thirty-one".

Divisors: 1 11 373 701 4103 7711 261473 354677 2876203 3901447 132294521 248628577 1455239731 2734914347 92738459221 1020123051431