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154354000021 = 13311379412971
BaseRepresentation
bin1000111111000000110…
…1110010000010010101
3112202102012021122001121
42033300031302002111
510012104111000041
6154524221523541
714103015231604
oct2176015620225
9482365248047
10154354000021
115a508899881
1225ab8a135b1
131172b627930
147683b33a3b
154035e7d7d1
hex23f0372095

154354000021 has 32 divisors (see below), whose sum is σ = 173083954176. Its totient is φ = 136686528000.

The previous prime is 154353999997. The next prime is 154354000027. The reversal of 154354000021 is 120000453451.

It is a happy number.

It is a 5-Lehmer number, since φ(154354000021) divides (154354000021-1)5.

It is a cyclic number.

It is not a de Polignac number, because 154354000021 - 215 = 154353967253 is a prime.

It is a super-3 number, since 3×1543540000213 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 154354000021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154354000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51952066 + ... + 51955036.

It is an arithmetic number, because the mean of its divisors is an integer number (5408873568).

It is a Poulet number, since it divides 2154354000020-1.

Almost surely, 2154354000021 is an apocalyptic number.

It is an amenable number.

154354000021 is a deficient number, since it is larger than the sum of its proper divisors (18729954155).

154354000021 is a wasteful number, since it uses less digits than its factorization.

154354000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093.

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 154354000021 its reverse (120000453451), we get a palindrome (274354453472).

The spelling of 154354000021 in words is "one hundred fifty-four billion, three hundred fifty-four million, twenty-one", and thus it is an aban number.

Divisors: 1 13 31 137 403 941 1781 2971 4247 12233 29171 38623 55211 92101 128917 379223 407027 1197313 1675921 2795711 3996427 5291351 12617837 36344243 51953551 86667041 164031881 383012407 1126671533 4979161291 11873384617 154354000021