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2122052634 = 2331323167787
BaseRepresentation
bin111111001111011…
…1111010000011010
312110220000102222000
41332132333100122
513321221141014
6550322541430
7103405102242
oct17636772032
95426012860
102122052634
11999930609
124b2807876
1327a83c660
14161b8ab22
15c6471509
hex7e7bf41a

2122052634 has 128 divisors (see below), whose sum is σ = 5337722880. Its totient is φ = 620021952.

The previous prime is 2122052633. The next prime is 2122052671. The reversal of 2122052634 is 4362502212.

It is a happy number.

2122052634 is a `hidden beast` number, since 2 + 1 + 2 + 20 + 5 + 2 + 634 = 666.

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 = 2122052598 and 2122052607.

It is not an unprimeable number, because it can be changed into a prime (2122052633) 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, 2695989 + ... + 2696775.

It is an arithmetic number, because the mean of its divisors is an integer number (41700960).

Almost surely, 22122052634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122052634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668861440).

2122052634 is an abundant number, since it is smaller than the sum of its proper divisors (3215670246).

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

2122052634 is a wasteful number, since it uses less digits than its factorization.

2122052634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2122052634 is about 46065.7425208799. The cubic root of 2122052634 is about 1285.0461275311.

Adding to 2122052634 its reverse (4362502212), we get a palindrome (6484554846).

The spelling of 2122052634 in words is "two billion, one hundred twenty-two million, fifty-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 167 207 234 299 334 351 414 501 598 621 702 787 897 1002 1242 1503 1574 1794 2171 2361 2691 3006 3841 4342 4509 4722 5382 6513 7083 7682 8073 9018 10231 11523 13026 14166 16146 18101 19539 20462 21249 23046 30693 34569 36202 39078 42498 49933 54303 58617 61386 69138 92079 99866 103707 108606 117234 131429 149799 162909 184158 207414 235313 262858 276237 299598 325818 394287 449397 470626 488727 552474 705939 788574 898794 977454 1182861 1348191 1411878 1708577 2117817 2365722 2696382 3022867 3417154 3548583 4235634 5125731 6045734 6353451 7097166 9068601 10251462 12706902 15377193 18137202 27205803 30754386 39297271 46131579 54411606 78594542 81617409 92263158 117891813 163234818 235783626 353675439 707350878 1061026317 2122052634