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172100110419 = 32174756942061
BaseRepresentation
bin1010000001000111110…
…1110100100001010011
3121110012221201110000200
42200101331310201103
510304430112013134
6211021154350243
715301541542026
oct2402175644123
9543187643020
10172100110419
1166a95031216
122942bb8b383
13132c9083283
1484889511bd
154723dd5499
hex2811f74853

172100110419 has 48 divisors (see below), whose sum is σ = 269291018880. Its totient is φ = 105498593280.

The previous prime is 172100110417. The next prime is 172100110421. The reversal of 172100110419 is 914011001271.

It is an interprime number because it is at equal distance from previous prime (172100110417) and next prime (172100110421).

It is not a de Polignac number, because 172100110419 - 21 = 172100110417 is a prime.

It is a super-2 number, since 2×1721001104192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 172100110392 and 172100110401.

It is not an unprimeable number, because it can be changed into a prime (172100110411) 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 47 ways as a sum of consecutive naturals, for example, 4070649 + ... + 4112709.

It is an arithmetic number, because the mean of its divisors is an integer number (5610229560).

Almost surely, 2172100110419 is an apocalyptic number.

172100110419 is a deficient number, since it is larger than the sum of its proper divisors (97190908461).

172100110419 is a wasteful number, since it uses less digits than its factorization.

172100110419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42700 (or 42697 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 172100110419 in words is "one hundred seventy-two billion, one hundred million, one hundred ten thousand, four hundred nineteen".

Divisors: 1 3 9 17 47 51 141 153 423 569 799 1707 2397 5121 7191 9673 26743 29019 42061 80229 87057 126183 240687 378549 454631 715037 1363893 1976867 2145111 4091679 5930601 6435333 17791803 23932709 33606739 71798127 100820217 215394381 302460651 406856053 1124837323 1220568159 3374511969 3661704477 10123535907 19122234491 57366703473 172100110419