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1422433103121 = 332329614013229
BaseRepresentation
bin10100101100101111100…
…111101010110100010001
312000222112210211111202000
4110230233213222310101
5141301120333244441
63005242353544213
7204524134612032
oct24545747526421
95028483744660
101422433103121
114a9283449738
121ab815b75069
13a419a3ba9a4
144cbbbacaa89
15270027e02b6
hex14b2f9ead11

1422433103121 has 128 divisors (see below), whose sum is σ = 2318530176000. Its totient is φ = 859009536000.

The previous prime is 1422433103083. The next prime is 1422433103131. The reversal of 1422433103121 is 1213013342241.

1422433103121 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 433 + 103 + 121 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1422433103121 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1422433103131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 440516535 + ... + 440519763.

It is an arithmetic number, because the mean of its divisors is an integer number (18113517000).

Almost surely, 21422433103121 is an apocalyptic number.

It is an amenable number.

1422433103121 is a deficient number, since it is larger than the sum of its proper divisors (896097072879).

1422433103121 is a wasteful number, since it uses less digits than its factorization.

1422433103121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1422433103121 its reverse (1213013342241), we get a palindrome (2635446445362).

The spelling of 1422433103121 in words is "one trillion, four hundred twenty-two billion, four hundred thirty-three million, one hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 23 27 29 61 69 87 183 207 261 401 549 621 667 783 1203 1403 1647 1769 2001 3229 3609 4209 5307 6003 9223 9687 10827 11629 12627 15921 18009 24461 27669 29061 34887 37881 40687 47763 73383 74267 83007 87183 93641 104661 122061 196969 220149 222801 249021 267467 280923 313983 366183 562603 590907 660447 668403 709369 802401 842769 1098549 1294829 1687809 1772721 2005209 2128107 2153743 2407203 2528307 3884487 4530287 5063427 5318163 5712101 6384321 6461229 7221609 11653461 13590861 15190281 16315487 17136303 19152963 19383687 29781067 34960383 37550041 40772583 48946461 51408909 58151061 78984569 89343201 112650123 122317749 131378323 146839383 154226727 236953707 268029603 337950369 394134969 440518149 710861121 804088809 863650943 1013851107 1182404907 1816645087 2132583363 2290552501 2590952829 3547214721 5449935261 6871657503 7772858487 16349805783 20614972509 23318575461 49049417349 52682707523 61844917527 158048122569 474144367707 1422433103121