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1022121424431 = 33378361719979
BaseRepresentation
bin11101101111110110010…
…11110011011000101111
310121201021101210012222000
432313323023303120233
5113221301041040211
62101320041223343
7133563056520552
oct16677313633057
93551241705860
101022121424431
1136452a996548
12146116491b53
1375502322bb3
1437684394699
151b8c387c656
hexedfb2f362f

1022121424431 has 64 divisors (see below), whose sum is σ = 1576546675200. Its totient is φ = 653915420928.

The previous prime is 1022121424427. The next prime is 1022121424447. The reversal of 1022121424431 is 1344241212201.

1022121424431 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 214 + 2 + 443 + 1 = 666.

It is not a de Polignac number, because 1022121424431 - 22 = 1022121424427 is a prime.

It is a super-2 number, since 2×10221214244312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1022121424395 and 1022121424404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022121424031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51149800 + ... + 51169778.

It is an arithmetic number, because the mean of its divisors is an integer number (24633541800).

Almost surely, 21022121424431 is an apocalyptic number.

1022121424431 is a deficient number, since it is larger than the sum of its proper divisors (554425250769).

1022121424431 is a wasteful number, since it uses less digits than its factorization.

1022121424431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20725 (or 20719 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1022121424431 its reverse (1344241212201), we get a palindrome (2366362636632).

The spelling of 1022121424431 in words is "one trillion, twenty-two billion, one hundred twenty-one million, four hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 37 83 111 249 333 617 747 999 1851 2241 3071 5553 9213 16659 19979 22829 27639 51211 59937 68487 82917 153633 179811 205461 460899 539433 616383 739223 1382697 1658257 1894807 2217669 4974771 5684421 6653007 12327043 14924313 17053263 19959021 36981129 44772939 51159789 61355509 110943387 184066527 332830161 456100591 552199581 1023144569 1368301773 1656598743 3069433707 4104905319 9208301121 12314715957 27624903363 37856349053 113569047159 340707141477 1022121424431