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2126105631 = 331343140867
BaseRepresentation
bin111111010111001…
…1100110000011111
312111011122100122000
41332232130300133
513323240340011
6550545453343
7103454412456
oct17656346037
95434570560
102126105631
119a11496a1
124b4041253
1327b62b390
14162523b9d
15c69c2356
hex7eb9cc1f

2126105631 has 32 divisors (see below), whose sum is σ = 3470987520. Its totient is φ = 1277936352.

The previous prime is 2126105617. The next prime is 2126105633. The reversal of 2126105631 is 1365016212.

2126105631 is a `hidden beast` number, since 2 + 1 + 26 + 1 + 0 + 5 + 631 = 666.

It is not a de Polignac number, because 2126105631 - 25 = 2126105599 is a prime.

It is a super-2 number, since 2×21261056312 = 9040650308339816322, which 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 = 2126105595 and 2126105604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126105633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55341 + ... + 85526.

It is an arithmetic number, because the mean of its divisors is an integer number (108468360).

Almost surely, 22126105631 is an apocalyptic number.

2126105631 is a deficient number, since it is larger than the sum of its proper divisors (1344881889).

2126105631 is a wasteful number, since it uses less digits than its factorization.

2126105631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140932 (or 140926 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2126105631 is about 46109.7129789375. The cubic root of 2126105631 is about 1285.8637283276.

The spelling of 2126105631 in words is "two billion, one hundred twenty-six million, one hundred five thousand, six hundred thirty-one".

Divisors: 1 3 9 13 27 39 43 117 129 351 387 559 1161 1677 5031 15093 140867 422601 1267803 1831271 3803409 5493813 6057281 16481439 18171843 49444317 54515529 78744653 163546587 236233959 708701877 2126105631